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Author: Wolfgang Pauli Institute. Thematic Program
Publisher: American Mathematical Soc.
ISBN: 0821843575
Category : Mathematics
Languages : en
Pages : 192
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Book Description
This volume looks at the Gross-Pitaevskii equation, an example of a defocusing nonlinear Schrodinger equation, which is a model for phenomena such as the Bose-Einstein condensation of ultra cold atomic gases, the superfluidity of Helium II, and the 'dark solitons' of nonlinear optics.
Author: Wolfgang Pauli Institute. Thematic Program
Publisher: American Mathematical Soc.
ISBN: 0821843575
Category : Mathematics
Languages : en
Pages : 192
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Book Description
This volume looks at the Gross-Pitaevskii equation, an example of a defocusing nonlinear Schrodinger equation, which is a model for phenomena such as the Bose-Einstein condensation of ultra cold atomic gases, the superfluidity of Helium II, and the 'dark solitons' of nonlinear optics.
Author: Günter Wunner
Publisher: Springer
ISBN: 3319276352
Category : Technology & Engineering
Languages : en
Pages : 364
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Book Description
This proceedings volume contains talks and poster presentations from the International Symposium "Self-Organization in Complex Systems: The Past, Present, and Future of Synergetics", which took place at Hanse-Wissenschaftskolleg, an Institute of Advanced Studies, in Delmenhorst, Germany, during the period November 13 - 16, 2012. The Symposium was organized in honour of Hermann Haken, who celebrated his 85th birthday in 2012. With his fundamental theory of Synergetics he had laid the mathematical-physical basis for describing and analyzing self-organization processes in a diversity of fields of research. The quest for common and universal principles of self-organization in complex systems was clearly covered by the wide range of interdisciplinary topics reported during the Symposium. These extended from complexity in classical systems and quantum systems over self-organisation in neuroscience even to the physics of finance. Moreover, by combining a historical view with a present status report the Symposium conveyed an impression of the allure and potency of this branch of research as well as its applicability in the future.
Author: Christian Klein
Publisher: Springer Nature
ISBN: 3030914275
Category : Differential equations
Languages : en
Pages : 596
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Book Description
Nonlinear Dispersive Equations are partial differential equations that naturally arise in physical settings where dispersion dominates dissipation, notably hydrodynamics, nonlinear optics, plasma physics and Bose-Einstein condensates. The topic has traditionally been approached in different ways, from the perspective of modeling of physical phenomena, to that of the theory of partial differential equations, or as part of the theory of integrable systems. This monograph offers a thorough introduction to the topic, uniting the modeling, PDE and integrable systems approaches for the first time in book form. The presentation focuses on three "universal" families of physically relevant equations endowed with a completely integrable member: the Benjamin-Ono, Davey-Stewartson, and Kadomtsev-Petviashvili equations. These asymptotic models are rigorously derived and qualitative properties such as soliton resolution are studied in detail in both integrable and non-integrable models. Numerical simulations are presented throughout to illustrate interesting phenomena. By presenting and comparing results from different fields, the book aims to stimulate scientific interactions and attract new students and researchers to the topic. To facilitate this, the chapters can be read largely independently of each other and the prerequisites have been limited to introductory courses in PDE theory.
Author: Gardiner Crispin W
Publisher: World Scientific
ISBN: 178634419X
Category : Science
Languages : en
Pages : 584
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Book Description
Author: Boris V. Svistunov
Publisher: CRC Press
ISBN: 1439802769
Category : Science
Languages : en
Pages : 569
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Book Description
Covers the State of the Art in Superfluidity and SuperconductivitySuperfluid States of Matter addresses the phenomenon of superfluidity/superconductivity through an emergent, topologically protected constant of motion and covers topics developed over the past 20 years. The approach is based on the idea of separating universal classical-field superf
Author: Dmitry E. Pelinovsky
Publisher: Cambridge University Press
ISBN: 1139503693
Category : Mathematics
Languages : en
Pages : 409
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Book Description
This comprehensive book describes modern methods in the analysis of reduced models of Bose–Einstein condensation in periodic lattices. Aimed at researchers and graduate students working in applied mathematics and physical sciences where nonlinear waves arise, its unique focus is on localized nonlinear waves in periodic potentials and lattices.
Author: Claude Cohen-Tannoudji
Publisher: World Scientific
ISBN: 981277498X
Category : Science
Languages : en
Pages : 794
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Book Description
This book presents a comprehensive overview of the spectacular advances seen in atomic physics during the last 50 years. The authors explain how such progress was possible by highlighting connections between developments that occurred at different times. They discuss the new perspectives and the new research fields that look promising. The emphasis is placed, not on detailed calculations, but rather on physical ideas. Combining both theoretical and experimental considerations, the book will be of interest to a wide range of students, teachers and researchers in quantum and atomic physics.
Author: Philippe Guyenne
Publisher: Springer
ISBN: 149392950X
Category : Mathematics
Languages : en
Pages : 449
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Book Description
This book is a unique selection of work by world-class experts exploring the latest developments in Hamiltonian partial differential equations and their applications. Topics covered within are representative of the field’s wide scope, including KAM and normal form theories, perturbation and variational methods, integrable systems, stability of nonlinear solutions as well as applications to cosmology, fluid mechanics and water waves. The volume contains both surveys and original research papers and gives a concise overview of the above topics, with results ranging from mathematical modeling to rigorous analysis and numerical simulation. It will be of particular interest to graduate students as well as researchers in mathematics and physics, who wish to learn more about the powerful and elegant analytical techniques for Hamiltonian partial differential equations.
Author: Christian Miniatura
Publisher: OUP Oxford
ISBN: 0191621234
Category : Science
Languages : en
Pages : 668
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Book Description
In recent years, there has been much synergy between the exciting areas of quantum information science and ultracold atoms. This volume, as part of the proceedings for the XCI session of Les Houches School of Physics (held for the first time outside Europe in Singapore) brings together experts in both fields. The theme of the school focused on two principal topics: quantum information science and ultracold atomic physics. The topics range from Bose Einstein Condensates to Degenerate Fermi Gases to fundamental concepts in Quantum Information Sciences, including some special topics on Quantum Hall Effects, Quantum Phase Transition, Interactions in Quantum Fluids, Disorder and Interference Phenomenoma, Trapped Ions and Atoms, and Quantum Optical Devices.
Author: C. J. Pethick
Publisher: Cambridge University Press
ISBN: 9780521665803
Category : Science
Languages : en
Pages : 420
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Book Description
Problems after each chapter
