Models of Quantum Matter

Models of Quantum Matter PDF Author: Hans-Peter Eckle
Publisher:
ISBN: 0199678839
Category : Science
Languages : en
Pages : 732

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Book Description
The book introduces tools with which models of quantum matter are built. The most important technique, the Bethe ansatz, is developed in detail to perform exact calculations of the physical properties of quantum matter.

Models of Quantum Matter

Models of Quantum Matter PDF Author: Hans-Peter Eckle
Publisher:
ISBN: 0199678839
Category : Science
Languages : en
Pages : 732

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Book Description
The book introduces tools with which models of quantum matter are built. The most important technique, the Bethe ansatz, is developed in detail to perform exact calculations of the physical properties of quantum matter.

Quantum-Statistical Models of Hot Dense Matter

Quantum-Statistical Models of Hot Dense Matter PDF Author: Arnold F. Nikiforov
Publisher: Springer Science & Business Media
ISBN: 9783764321833
Category : Law
Languages : en
Pages : 456

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Book Description
This book studies the widely used theoretical models for calculating properties of hot dense matter. Calculations are illustrated by plots and tables, and they are compared with experimental results. The purpose is to help understanding of atomic physics in hot plasma and to aid in developing efficient and robust computer codes for calculating opacity and equations of state for arbitrary material in a wide range of temperatures and densities.

The Oxford Solid State Basics

The Oxford Solid State Basics PDF Author: Steven H. Simon
Publisher: Oxford University Press
ISBN: 0199680760
Category : Science
Languages : en
Pages : 308

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Book Description
This is a first undergraduate textbook in Solid State Physics or Condensed Matter Physics. While most textbooks on the subject are extremely dry, this book is written to be much more exciting, inspiring, and entertaining.

Physical Models for Quantum Dots

Physical Models for Quantum Dots PDF Author: Jean-Pierre Leburton
Publisher: CRC Press
ISBN: 1000348199
Category : Technology & Engineering
Languages : en
Pages : 991

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Book Description
Since the early 1990s, quantum dots have become an integral part of research in solid state physics for their fundamental properties that mimic the behavior of atoms and molecules on a larger scale. They also have a broad range of applications in engineering and medicines for their ability to tune their electronic properties to achieve specific functions. This book is a compilation of articles that span 20 years of research on comprehensive physical models developed by their authors to understand the detailed properties of these quantum objects and to tailor them for specific applications. Far from being exhaustive, this book focuses on topics of interest for solid state physicists, materials scientists, engineers, and general readers, such as quantum dots and nanocrystals for single-electron charging with applications in memory devices, quantum dots for electron-spin manipulation with applications in quantum information processing, and finally self-assembled quantum dots for applications in nanophotonics.

Quantum Field Theory and Condensed Matter

Quantum Field Theory and Condensed Matter PDF Author: Ramamurti Shankar
Publisher: Cambridge University Press
ISBN: 1108363989
Category : Science
Languages : en
Pages : 557

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Book Description
Providing a broad review of many techniques and their application to condensed matter systems, this book begins with a review of thermodynamics and statistical mechanics, before moving onto real and imaginary time path integrals and the link between Euclidean quantum mechanics and statistical mechanics. A detailed study of the Ising, gauge-Ising and XY models is included. The renormalization group is developed and applied to critical phenomena, Fermi liquid theory and the renormalization of field theories. Next, the book explores bosonization and its applications to one-dimensional fermionic systems and the correlation functions of homogeneous and random-bond Ising models. It concludes with Bohm–Pines and Chern–Simons theories applied to the quantum Hall effect. Introducing the reader to a variety of techniques, it opens up vast areas of condensed matter theory for both graduate students and researchers in theoretical, statistical and condensed matter physics.

Correlated Electrons In Quantum Matter

Correlated Electrons In Quantum Matter PDF Author: Peter Fulde
Publisher: World Scientific
ISBN: 9814397229
Category : Science
Languages : en
Pages : 550

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Book Description
An understanding of the effects of electronic correlations in quantum systems is one of the most challenging problems in physics, partly due to the relevance in modern high technology. Yet there exist hardly any books on the subject which try to give a comprehensive overview on the field covering insulators, semiconductors, as well as metals. The present book tries to fill that gap.It intends to provide graduate students and researchers a comprehensive survey of electron correlations, weak and strong, in insulators, semiconductors and metals. This topic is a central one in condensed matter and beyond that in theoretical physics. The reader will have a better understanding of the great progress which has been made in the field over the past few decades.

Solvable Models in Quantum Mechanics

Solvable Models in Quantum Mechanics PDF Author: Sergio Albeverio
Publisher: Springer Science & Business Media
ISBN: 3642882013
Category : Science
Languages : en
Pages : 458

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Book Description
Next to the harmonic oscillator and the Coulomb potential the class of two-body models with point interactions is the only one where complete solutions are available. All mathematical and physical quantities can be calculated explicitly which makes this field of research important also for more complicated and realistic models in quantum mechanics. The detailed results allow their implementation in numerical codes to analyse properties of alloys, impurities, crystals and other features in solid state quantum physics. This monograph presents in a systematic way the mathematical approach and unifies results obtained in recent years. The student with a sound background in mathematics will get a deeper understanding of Schrödinger Operators and will see many examples which may eventually be used with profit in courses on quantum mechanics and solid state physics. The book has textbook potential in mathematical physics and is suitable for additional reading in various fields of theoretical quantum physics.

The Stability of Matter in Quantum Mechanics

The Stability of Matter in Quantum Mechanics PDF Author: Elliott H. Lieb
Publisher: Cambridge University Press
ISBN: 0521191181
Category : Science
Languages : en
Pages : 310

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Book Description
Description of research on the subject for researchers, and for advanced undergraduate and graduate courses in mathematical physics.

Physics and Mathematics of Quantum Many-Body Systems

Physics and Mathematics of Quantum Many-Body Systems PDF Author: Hal Tasaki
Publisher: Springer Nature
ISBN: 3030412652
Category : Technology & Engineering
Languages : en
Pages : 534

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Book Description
This book is a self-contained advanced textbook on the mathematical-physical aspects of quantum many-body systems, which begins with a pedagogical presentation of the necessary background information before moving on to subjects of active research, including topological phases of matter. The book explores in detail selected topics in quantum spin systems and lattice electron systems, namely, long-range order and spontaneous symmetry breaking in the antiferromagnetic Heisenberg model in two or higher dimensions (Part I), Haldane phenomena in antiferromagnetic quantum spin chains and related topics in topological phases of quantum matter (Part II), and the origin of magnetism in various versions of the Hubbard model (Part III). Each of these topics represents certain nontrivial phenomena or features that are invariably encountered in a variety of quantum many-body systems, including quantum field theory, condensed matter systems, cold atoms, and artificial quantum systems designed for future quantum computers. The book’s main focus is on universal properties of quantum many-body systems. The book includes roughly 50 problems with detailed solutions. The reader only requires elementary linear algebra and calculus to comprehend the material and work through the problems. Given its scope and format, the book is suitable both for self-study and as a textbook for graduate or advanced undergraduate classes.

Quantum Phase Transitions

Quantum Phase Transitions PDF Author: Subir Sachdev
Publisher: Cambridge University Press
ISBN: 113950021X
Category : Science
Languages : en
Pages : 521

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Book Description
Describing the physical properties of quantum materials near critical points with long-range many-body quantum entanglement, this book introduces readers to the basic theory of quantum phases, their phase transitions and their observable properties. This second edition begins with a new section suitable for an introductory course on quantum phase transitions, assuming no prior knowledge of quantum field theory. It also contains several new chapters to cover important recent advances, such as the Fermi gas near unitarity, Dirac fermions, Fermi liquids and their phase transitions, quantum magnetism, and solvable models obtained from string theory. After introducing the basic theory, it moves on to a detailed description of the canonical quantum-critical phase diagram at non-zero temperatures. Finally, a variety of more complex models are explored. This book is ideal for graduate students and researchers in condensed matter physics and particle and string theory.