Author: R.P. Huebener
Publisher: Springer Science & Business Media
ISBN: 3662046652
Category : Technology & Engineering
Languages : en
Pages : 369
Book Description
Presents a modern treatment of the physics of vortex matter, mainly applied to unconventional superconductors and superfluids but with extensions to other areas of physics.
Vortices in Unconventional Superconductors and Superfluids
Author: R.P. Huebener
Publisher: Springer Science & Business Media
ISBN: 3662046652
Category : Technology & Engineering
Languages : en
Pages : 369
Book Description
Presents a modern treatment of the physics of vortex matter, mainly applied to unconventional superconductors and superfluids but with extensions to other areas of physics.
Publisher: Springer Science & Business Media
ISBN: 3662046652
Category : Technology & Engineering
Languages : en
Pages : 369
Book Description
Presents a modern treatment of the physics of vortex matter, mainly applied to unconventional superconductors and superfluids but with extensions to other areas of physics.
Collective Excitations in Unconventional Superconductors and Superfluids
Author: Peter Brusov
Publisher: World Scientific
ISBN: 9812771247
Category : Science
Languages : en
Pages : 859
Book Description
This is the first monograph that strives to give a complete and detailed description of the collective modes (CMs) in unconventional superfluids and superconductors (UCSF&SC). Using the most powerful method of modern theoretical physics OCo the path (functional) integral technique OCo authors build the three- and two-dimensional models for s -, p - and d -wave pairing in neutral as well as in charged FermiOCosystems, models of superfluid BoseOCosystems and FermiOCoBoseOComixtures. Within these models they study the collective properties of such systems as superfluid 3 He, superfluid 4 He, superfluid 3 He- 4 He mixtures, superfluid 3 He-films, superfluid 3 He and superfluid 3 He- 4 He mixtures in aerogel, high temperature superconductors, heavy-fermion superconductors, superconducting films etc. Authors compare their results with experimental data and predict a lot of new experiments on CMs study. This opens for experimentalists new possibilities for search of new intriguing features of collective behavior of UCSF&SC. The monograph creates the new scientific direction OCo the spectroscopy of collective modes in unconventional superfluids and superconductors. It will be useful for both theorists and experimentalists, studying superfluids and superconductors, low temperature physics, condensed matter physics, solid state physics. It could be used by graduate students specializing in the same areas. Sample Chapter(s). Introduction (162 KB). Chapter 1: Functional Integration Method (369 KB). Contents: Functional Integration Method; Collective Excitations in Superfluid Fermi-Systems with s OCoPairing; Superfluid Phases in 3 He; The Model of 3 He; Collective Excitations in the B OCoPhase of 3 He; Collective Excitations in the A OCoPhase of 3 He; Stability of Goldstone Modes; Influence of Dipole Interaction and Magnetic Field on Collective Excitations; The Influence of the Electric Field on the Collective Excitations in 3 He and 4 He; The Order Parameter Distortion and Collective Modes in 3 HeOCo B; Collective Excitations in the Planar 2 D OCoPhase of Superfluid 3 He; Collective Excitations in the PolarOCoPhase; Superfluidity of TwoOCoDimensional and One-Dimensional Systems; BoseOCoSpectrum of Superfluid Solutions 3 He- 4 He; Novel Sound Phenomena in Impure Superfluids; Collective Modes in the HeavyOCoFermion Superconductors; Other Application of the Theory of Collective Excitations. Readership: Graduate and postgraduate students, researchers (theorists and experimentalists), in low temperature physics, superconductivity and condensed matter physics."
Publisher: World Scientific
ISBN: 9812771247
Category : Science
Languages : en
Pages : 859
Book Description
This is the first monograph that strives to give a complete and detailed description of the collective modes (CMs) in unconventional superfluids and superconductors (UCSF&SC). Using the most powerful method of modern theoretical physics OCo the path (functional) integral technique OCo authors build the three- and two-dimensional models for s -, p - and d -wave pairing in neutral as well as in charged FermiOCosystems, models of superfluid BoseOCosystems and FermiOCoBoseOComixtures. Within these models they study the collective properties of such systems as superfluid 3 He, superfluid 4 He, superfluid 3 He- 4 He mixtures, superfluid 3 He-films, superfluid 3 He and superfluid 3 He- 4 He mixtures in aerogel, high temperature superconductors, heavy-fermion superconductors, superconducting films etc. Authors compare their results with experimental data and predict a lot of new experiments on CMs study. This opens for experimentalists new possibilities for search of new intriguing features of collective behavior of UCSF&SC. The monograph creates the new scientific direction OCo the spectroscopy of collective modes in unconventional superfluids and superconductors. It will be useful for both theorists and experimentalists, studying superfluids and superconductors, low temperature physics, condensed matter physics, solid state physics. It could be used by graduate students specializing in the same areas. Sample Chapter(s). Introduction (162 KB). Chapter 1: Functional Integration Method (369 KB). Contents: Functional Integration Method; Collective Excitations in Superfluid Fermi-Systems with s OCoPairing; Superfluid Phases in 3 He; The Model of 3 He; Collective Excitations in the B OCoPhase of 3 He; Collective Excitations in the A OCoPhase of 3 He; Stability of Goldstone Modes; Influence of Dipole Interaction and Magnetic Field on Collective Excitations; The Influence of the Electric Field on the Collective Excitations in 3 He and 4 He; The Order Parameter Distortion and Collective Modes in 3 HeOCo B; Collective Excitations in the Planar 2 D OCoPhase of Superfluid 3 He; Collective Excitations in the PolarOCoPhase; Superfluidity of TwoOCoDimensional and One-Dimensional Systems; BoseOCoSpectrum of Superfluid Solutions 3 He- 4 He; Novel Sound Phenomena in Impure Superfluids; Collective Modes in the HeavyOCoFermion Superconductors; Other Application of the Theory of Collective Excitations. Readership: Graduate and postgraduate students, researchers (theorists and experimentalists), in low temperature physics, superconductivity and condensed matter physics."
Physics of Transition Metal Oxides
Author: Sadamichi Maekawa
Publisher: Springer Science & Business Media
ISBN: 9783540212935
Category : Technology & Engineering
Languages : en
Pages : 356
Book Description
The fact that magnetite (Fe304) was already known in the Greek era as a peculiar mineral is indicative of the long history of transition metal oxides as useful materials. The discovery of high-temperature superconductivity in 1986 has renewed interest in transition metal oxides. High-temperature su perconductors are all cuprates. Why is it? To answer to this question, we must understand the electronic states in the cuprates. Transition metal oxides are also familiar as magnets. They might be found stuck on the door of your kitchen refrigerator. Magnetic materials are valuable not only as magnets but as electronics materials. Manganites have received special attention recently because of their extremely large magnetoresistance, an effect so large that it is called colossal magnetoresistance (CMR). What is the difference between high-temperature superconducting cuprates and CMR manganites? Elements with incomplete d shells in the periodic table are called tran sition elements. Among them, the following eight elements with the atomic numbers from 22 to 29, i. e. , Ti, V, Cr, Mn, Fe, Co, Ni and Cu are the most im portant. These elements make compounds with oxygen and present a variety of properties. High-temperature superconductivity and CMR are examples. Most of the textbooks on magnetism discuss the magnetic properties of transition metal oxides. However, when one studies magnetism using tradi tional textbooks, one finds that the transport properties are not introduced in the initial stages.
Publisher: Springer Science & Business Media
ISBN: 9783540212935
Category : Technology & Engineering
Languages : en
Pages : 356
Book Description
The fact that magnetite (Fe304) was already known in the Greek era as a peculiar mineral is indicative of the long history of transition metal oxides as useful materials. The discovery of high-temperature superconductivity in 1986 has renewed interest in transition metal oxides. High-temperature su perconductors are all cuprates. Why is it? To answer to this question, we must understand the electronic states in the cuprates. Transition metal oxides are also familiar as magnets. They might be found stuck on the door of your kitchen refrigerator. Magnetic materials are valuable not only as magnets but as electronics materials. Manganites have received special attention recently because of their extremely large magnetoresistance, an effect so large that it is called colossal magnetoresistance (CMR). What is the difference between high-temperature superconducting cuprates and CMR manganites? Elements with incomplete d shells in the periodic table are called tran sition elements. Among them, the following eight elements with the atomic numbers from 22 to 29, i. e. , Ti, V, Cr, Mn, Fe, Co, Ni and Cu are the most im portant. These elements make compounds with oxygen and present a variety of properties. High-temperature superconductivity and CMR are examples. Most of the textbooks on magnetism discuss the magnetic properties of transition metal oxides. However, when one studies magnetism using tradi tional textbooks, one finds that the transport properties are not introduced in the initial stages.
Dynamics of Quantised Vortices in Superfluids
Author: Edouard B. Sonin
Publisher: Cambridge University Press
ISBN: 1316453502
Category : Science
Languages : en
Pages : 405
Book Description
A comprehensive overview of the basic principles of vortex dynamics in superfluids, this book addresses the problems of vortex dynamics in all three superfluids available in laboratories (4He, 3He, and BEC of cold atoms) alongside discussions of the elasticity of vortices, forces on vortices, and vortex mass. Beginning with a summary of classical hydrodynamics, the book guides the reader through examinations of vortex dynamics from large scales to the microscopic scale. Topics such as vortex arrays in rotating superfluids, bound states in vortex cores and interaction of vortices with quasiparticles are discussed. The final chapter of the book considers implications of vortex dynamics to superfluid turbulence using simple scaling and symmetry arguments. Written from a unified point of view that avoids complicated mathematical approaches, this text is ideal for students and researchers working with vortex dynamics in superfluids, superconductors, magnetically ordered materials, neutron stars and cosmological models.
Publisher: Cambridge University Press
ISBN: 1316453502
Category : Science
Languages : en
Pages : 405
Book Description
A comprehensive overview of the basic principles of vortex dynamics in superfluids, this book addresses the problems of vortex dynamics in all three superfluids available in laboratories (4He, 3He, and BEC of cold atoms) alongside discussions of the elasticity of vortices, forces on vortices, and vortex mass. Beginning with a summary of classical hydrodynamics, the book guides the reader through examinations of vortex dynamics from large scales to the microscopic scale. Topics such as vortex arrays in rotating superfluids, bound states in vortex cores and interaction of vortices with quasiparticles are discussed. The final chapter of the book considers implications of vortex dynamics to superfluid turbulence using simple scaling and symmetry arguments. Written from a unified point of view that avoids complicated mathematical approaches, this text is ideal for students and researchers working with vortex dynamics in superfluids, superconductors, magnetically ordered materials, neutron stars and cosmological models.
The Universe in a Helium Droplet
Author: Grigory E. Volovik
Publisher: OUP Oxford
ISBN: 0191574090
Category : Science
Languages : en
Pages : 530
Book Description
There are fundamental relations between three vast areas of physics: particle physics, cosmology and condensed matter physics. The fundamental links between the first two areas, in other words, between micro- and macro- worlds, have been well established. There is a unified system of laws governing the scales from subatomic particles to the Cosmos and this principle is widely exploited in the description of the physics of the early Universe. The main goal of this book is to establish and define the connection of these two fields with condensed matter physics. According to the modern view, elementary particles (electrons, neutrinos, quarks, etc.) are excitations of a more fundamental medium called the quantum vacuum. This is the new 'aether' of the 21st Century. Electromagnetism, gravity, and the fields transferring weak and strong interactions all represent different types of the collective motion of the quantum vacuum. Among the existing condensed matter systems, a quantum liquid called superfluid 3He-A most closely represents the quantum vacuum. Its quasiparticles are very similar to the elementary particles, while the collective modes of the liquid are very similar to electromagnetic and gravitational fields, and the quanta of these collective modes are analogues of photons and gravitons. The fundamental laws of physics, such as the laws of relativity (Lorentz invariance) and gauge invariance, arise when the temperature of the quantum liquid decreases. This book is written for graduate students and researchers in all areas of physics.
Publisher: OUP Oxford
ISBN: 0191574090
Category : Science
Languages : en
Pages : 530
Book Description
There are fundamental relations between three vast areas of physics: particle physics, cosmology and condensed matter physics. The fundamental links between the first two areas, in other words, between micro- and macro- worlds, have been well established. There is a unified system of laws governing the scales from subatomic particles to the Cosmos and this principle is widely exploited in the description of the physics of the early Universe. The main goal of this book is to establish and define the connection of these two fields with condensed matter physics. According to the modern view, elementary particles (electrons, neutrinos, quarks, etc.) are excitations of a more fundamental medium called the quantum vacuum. This is the new 'aether' of the 21st Century. Electromagnetism, gravity, and the fields transferring weak and strong interactions all represent different types of the collective motion of the quantum vacuum. Among the existing condensed matter systems, a quantum liquid called superfluid 3He-A most closely represents the quantum vacuum. Its quasiparticles are very similar to the elementary particles, while the collective modes of the liquid are very similar to electromagnetic and gravitational fields, and the quanta of these collective modes are analogues of photons and gravitons. The fundamental laws of physics, such as the laws of relativity (Lorentz invariance) and gauge invariance, arise when the temperature of the quantum liquid decreases. This book is written for graduate students and researchers in all areas of physics.
Vortex Dynamics and Optical Vortices
Author: Hector Perez-De-Tejada
Publisher: BoD – Books on Demand
ISBN: 9535129295
Category : Science
Languages : en
Pages : 346
Book Description
The contents of the book cover a wide variety of topics related to the analysis of the dynamics of vortices and describe the results of experiments, computational modeling and their interpretation. The book contains 13 chapters reaching areas of physics in vortex dynamics and optical vortices including vortices in superfluid atomic gases, vortex laser beams, vortex-antivortex in ferromagnetic hybrids, and optical vortices illumination in chiral nanostructures. Also, discussions are presented on particle motion in vortex flows, on the simulation of vortex-dominated flows, on vortices in saturable media, on achromatic vortices, and on ultraviolet vortices. Fractal light vortices, coherent vortex beams, together with vortices in electric dipole radiation, and spin wave dynamics in magnetic vortices are examined as well.
Publisher: BoD – Books on Demand
ISBN: 9535129295
Category : Science
Languages : en
Pages : 346
Book Description
The contents of the book cover a wide variety of topics related to the analysis of the dynamics of vortices and describe the results of experiments, computational modeling and their interpretation. The book contains 13 chapters reaching areas of physics in vortex dynamics and optical vortices including vortices in superfluid atomic gases, vortex laser beams, vortex-antivortex in ferromagnetic hybrids, and optical vortices illumination in chiral nanostructures. Also, discussions are presented on particle motion in vortex flows, on the simulation of vortex-dominated flows, on vortices in saturable media, on achromatic vortices, and on ultraviolet vortices. Fractal light vortices, coherent vortex beams, together with vortices in electric dipole radiation, and spin wave dynamics in magnetic vortices are examined as well.
Bogoliubov-de Gennes Method and Its Applications
Author: Jian-Xin Zhu
Publisher: Springer
ISBN: 3319313142
Category : Technology & Engineering
Languages : en
Pages : 193
Book Description
The purpose of this book is to provide an elementary yet systematic description of the Bogoliubov-de Gennes (BdG) equations, their unique symmetry properties and their relation to Green’s function theory. Specifically, it introduces readers to the supercell technique for the solutions of the BdG equations, as well as other related techniques for more rapidly solving the equations in practical applications. The BdG equations are derived from a microscopic model Hamiltonian with an effective pairing interaction and fully capture the local electronic structure through self-consistent solutions via exact diagonalization. This approach has been successfully generalized to study many aspects of conventional and unconventional superconductors with inhomogeneities – including defects, disorder or the presence of a magnetic field – and becomes an even more attractive choice when the first-principles information of a typical superconductor is incorporated via the construction of a low-energy tight-binding model. Further, the lattice BdG approach is essential when theoretical results for local electronic states around such defects are compared with the scanning tunneling microscopy measurements. Altogether, these lectures provide a timely primer for graduate students and non-specialist researchers, while also offering a useful reference guide for experts in the field.
Publisher: Springer
ISBN: 3319313142
Category : Technology & Engineering
Languages : en
Pages : 193
Book Description
The purpose of this book is to provide an elementary yet systematic description of the Bogoliubov-de Gennes (BdG) equations, their unique symmetry properties and their relation to Green’s function theory. Specifically, it introduces readers to the supercell technique for the solutions of the BdG equations, as well as other related techniques for more rapidly solving the equations in practical applications. The BdG equations are derived from a microscopic model Hamiltonian with an effective pairing interaction and fully capture the local electronic structure through self-consistent solutions via exact diagonalization. This approach has been successfully generalized to study many aspects of conventional and unconventional superconductors with inhomogeneities – including defects, disorder or the presence of a magnetic field – and becomes an even more attractive choice when the first-principles information of a typical superconductor is incorporated via the construction of a low-energy tight-binding model. Further, the lattice BdG approach is essential when theoretical results for local electronic states around such defects are compared with the scanning tunneling microscopy measurements. Altogether, these lectures provide a timely primer for graduate students and non-specialist researchers, while also offering a useful reference guide for experts in the field.
Quantized Vortex Dynamics and Superfluid Turbulence
Author: C.F. Barenghi
Publisher: Springer
ISBN: 3540455426
Category : Technology & Engineering
Languages : en
Pages : 459
Book Description
This book springs from the programme Quantized Vortex Dynamics and Sup- ?uid Turbulence held at the Isaac Newton Institute for Mathematical Sciences (University of Cambridge) in August 2000. What motivated the programme was the recognition that two recent developments have moved the study of qu- tized vorticity, traditionally carried out within the low-temperature physics and condensed-matter physics communities, into a new era. The ?rst development is the increasing contact with classical ?uid dynamics and its ideas and methods. For example, some current experiments with - lium II now deal with very classical issues, such as the measurement of velocity spectra and turbulence decay rates. The evidence from these experiments and many others is that super?uid turbulence and classical turbulence share many features. The challenge is now to explain these similarities and explore the time scales and length scales over which they hold true. The observed classical aspects have also attracted attention to the role played by the ?ow of the normal ?uid, which was somewhat neglected in the past because of the lack of direct ?ow visualization. Increased computing power is also making it possible to study the coupled motion of super?uid vortices and normal ?uids. Another contact with classical physics arises through the interest in the study of super?uid vortex - connections. Reconnections have been studied for some time in the contexts of classical ?uid dynamics and magneto-hydrodynamics (MHD), and it is useful to learn from the experience acquired in other ?elds.
Publisher: Springer
ISBN: 3540455426
Category : Technology & Engineering
Languages : en
Pages : 459
Book Description
This book springs from the programme Quantized Vortex Dynamics and Sup- ?uid Turbulence held at the Isaac Newton Institute for Mathematical Sciences (University of Cambridge) in August 2000. What motivated the programme was the recognition that two recent developments have moved the study of qu- tized vorticity, traditionally carried out within the low-temperature physics and condensed-matter physics communities, into a new era. The ?rst development is the increasing contact with classical ?uid dynamics and its ideas and methods. For example, some current experiments with - lium II now deal with very classical issues, such as the measurement of velocity spectra and turbulence decay rates. The evidence from these experiments and many others is that super?uid turbulence and classical turbulence share many features. The challenge is now to explain these similarities and explore the time scales and length scales over which they hold true. The observed classical aspects have also attracted attention to the role played by the ?ow of the normal ?uid, which was somewhat neglected in the past because of the lack of direct ?ow visualization. Increased computing power is also making it possible to study the coupled motion of super?uid vortices and normal ?uids. Another contact with classical physics arises through the interest in the study of super?uid vortex - connections. Reconnections have been studied for some time in the contexts of classical ?uid dynamics and magneto-hydrodynamics (MHD), and it is useful to learn from the experience acquired in other ?elds.
Handbook on the Physics and Chemistry of Rare Earths
Author: Karl A. Gschneidner
Publisher: Elsevier
ISBN: 9780444515872
Category : Juvenile Nonfiction
Languages : en
Pages : 548
Book Description
This volume of the Handbook adds five new chapters to the science of rare earths. Two of the chapters deal with intermetallic compounds. An overview of ternary systems containing rare earths, transition metals and indium - Chapter 218 - opens the volume. It is followed by Chapter 219 sorting out relationships between superconductivity and magnetism. The next two chapters are dedicated to complex compounds of rare earths: Chapter 220 describes structural studies using circularly polarized luminescence spectroscopy of lanthanide systems, while Chapter 221 examines rare-earth metal-organic frameworks, also known as coordination polymers. The final Chapter 222 deals with the catalytic activity of rare earths in site-selective hydrolysis of DNA and RNA. Ya. Kalychak, V. Zaremba, R. Pöttgen, M. Lukachuk, and R.-D. Hoffmann review the synthesis conditions, isothermal sections of phase diagrams, crystallography and basic physical properties of ternary intermetallic compounds consisting of the rare-earth metals, transition metals and indium. P. Thalmeier and G. Zwicknagl revisit the last decade of research uncovering some of the mysteries of the superconducting state, especially those related to heavy fermion superconductivity and the co-existence of the superconducting and exotic magnetically ordered states. J. P. Riehl and G. Muller review how the molecular stereochemistry of lanthanide complexes both in pure forms and in mixtures can be probed using circularly polarized luminescence. O. Guillou and C. Daiguebonne assess rare earth-containing metal-organic frameworks, also known as coordination polymers, which hold a potential as working bodies for opto-electronic and magnetic devices, microporous materials for a variety of uses, such as size- and shape-selective separations, catalyst support and hydrogen storage materials. Concluding the volume, M. Komiyama argues that future biotechnology may well rely on the use of rare-earth ions as unique catalysts that can slice DNA and RNA in order to allow their reprogramming, and thus lead to more effective bioengineered processes.
Publisher: Elsevier
ISBN: 9780444515872
Category : Juvenile Nonfiction
Languages : en
Pages : 548
Book Description
This volume of the Handbook adds five new chapters to the science of rare earths. Two of the chapters deal with intermetallic compounds. An overview of ternary systems containing rare earths, transition metals and indium - Chapter 218 - opens the volume. It is followed by Chapter 219 sorting out relationships between superconductivity and magnetism. The next two chapters are dedicated to complex compounds of rare earths: Chapter 220 describes structural studies using circularly polarized luminescence spectroscopy of lanthanide systems, while Chapter 221 examines rare-earth metal-organic frameworks, also known as coordination polymers. The final Chapter 222 deals with the catalytic activity of rare earths in site-selective hydrolysis of DNA and RNA. Ya. Kalychak, V. Zaremba, R. Pöttgen, M. Lukachuk, and R.-D. Hoffmann review the synthesis conditions, isothermal sections of phase diagrams, crystallography and basic physical properties of ternary intermetallic compounds consisting of the rare-earth metals, transition metals and indium. P. Thalmeier and G. Zwicknagl revisit the last decade of research uncovering some of the mysteries of the superconducting state, especially those related to heavy fermion superconductivity and the co-existence of the superconducting and exotic magnetically ordered states. J. P. Riehl and G. Muller review how the molecular stereochemistry of lanthanide complexes both in pure forms and in mixtures can be probed using circularly polarized luminescence. O. Guillou and C. Daiguebonne assess rare earth-containing metal-organic frameworks, also known as coordination polymers, which hold a potential as working bodies for opto-electronic and magnetic devices, microporous materials for a variety of uses, such as size- and shape-selective separations, catalyst support and hydrogen storage materials. Concluding the volume, M. Komiyama argues that future biotechnology may well rely on the use of rare-earth ions as unique catalysts that can slice DNA and RNA in order to allow their reprogramming, and thus lead to more effective bioengineered processes.
Novel Superfluids
Author: Karl-Heinz Bennemann
Publisher: OUP Oxford
ISBN: 0191650196
Category : Science
Languages : en
Pages : 641
Book Description
This book reports on the latest developments in the field of Superfluidity. The phenomenon has had a tremendous impact on the fundamental sciences as well as a host of technologies. It began with the discovery of superconductivity in mercury in 1911, which was ultimately described theoretically by the theory of Bardeen Cooper and Schriever (BCS) in 1957. The analogous phenomena, superfluidity, was discovered in helium in 1938 and tentatively explained shortly thereafter as arising from a Bose-Einstein Condensation (BEC) by London. But the importance of superfluidity, and the range of systems in which it occurs, has grown enormously. In addition to metals and the helium liquids the phenomena has now been observed for photons in cavities, excitons in semiconductors, magnons in certain materials, and cold gasses trapped in high vacuum. It very likely exist for neutrons in a neutron star and, possibly, in a conjectured quark state at their center. Even the Universe itself can be regarded as being in a kind of superfluid state. All these topics are discussed by experts in the respective subfields.
Publisher: OUP Oxford
ISBN: 0191650196
Category : Science
Languages : en
Pages : 641
Book Description
This book reports on the latest developments in the field of Superfluidity. The phenomenon has had a tremendous impact on the fundamental sciences as well as a host of technologies. It began with the discovery of superconductivity in mercury in 1911, which was ultimately described theoretically by the theory of Bardeen Cooper and Schriever (BCS) in 1957. The analogous phenomena, superfluidity, was discovered in helium in 1938 and tentatively explained shortly thereafter as arising from a Bose-Einstein Condensation (BEC) by London. But the importance of superfluidity, and the range of systems in which it occurs, has grown enormously. In addition to metals and the helium liquids the phenomena has now been observed for photons in cavities, excitons in semiconductors, magnons in certain materials, and cold gasses trapped in high vacuum. It very likely exist for neutrons in a neutron star and, possibly, in a conjectured quark state at their center. Even the Universe itself can be regarded as being in a kind of superfluid state. All these topics are discussed by experts in the respective subfields.