Quantum Statistical Mechanics In Classical Phase Space
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Quantum Statistical Mechanics In Classical Phase Space
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Author : ATTARD
language : en
Publisher: IOP Publishing Limited
Release Date : 2021-11-30
Quantum Statistical Mechanics In Classical Phase Space written by ATTARD and has been published by IOP Publishing Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-30 with Science categories.
Quantum and classical physics are presented as distinct and unrelated. Transformation to classical phase space gives researchers access to algorithms derived from classical statistical mechanics that promise results on much more favourable terms. This book offers a framework for understanding the quantum world and collective molecular behaviour.
Quantum Statistical Mechanics In Classical Phase Space
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Author : Phil Attard
language : en
Publisher:
Release Date : 2021
Quantum Statistical Mechanics In Classical Phase Space written by Phil Attard and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Phase transformations (Statistical physics) categories.
Quantum Statistical Mechanics in Classical Phase Space offers not just a new computational approach to condensed matter systems, but also a unique conceptual framework for understanding the quantum world and collective molecular behaviour. A formally exact transformation, this revolutionary approach goes beyond the quantum perturbation of classical condensed matter to applications that lie deep in the quantum regime.
Introduction To Relativistic Statistical Mechanics
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Author : Rmi Hakim
language : en
Publisher: World Scientific
Release Date : 2011
Introduction To Relativistic Statistical Mechanics written by Rmi Hakim and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Science categories.
This is one of the very few books focusing on relativistic statistical mechanics, and is written by a leading expert in this special field. It started from the notion of relativistic kinetic theory, half a century ago, exploding into relativistic statistical mechanics. This will interest specialists of various fields, especially the (classical and quantum) plasma physics. However, quantum physics ? to which a major part is devoted ? will be of more interest since, not only it applies to quantum plasma physics, but also to nuclear matter and to strong magnetic field, cosmology, etc. Although the domain of gauge theory is not covered in this book, the topic is not completely forgotten, in particular in the domain of plasma physics. This book is particularly readable for graduate students and a fortiori to young researchers for whom it offers methods and also appropriate schemes to deal with the current problems encountered in astrophysics, in strong magnetic, in nuclear or even in high energy physics.
Quantum Mechanics In Phase Space
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Author : Cosmas Zachos
language : en
Publisher: World Scientific
Release Date : 2005
Quantum Mechanics In Phase Space written by Cosmas Zachos and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Science categories.
Wigner's quasi-probability distribution function in phase space is a special (Weyl) representation of the density matrix. It has been useful in describing quantum transport in quantum optics; nuclear physics; decoherence, quantum computing, and quantum chaos. It is also important in signal processing and the mathematics of algebraic deformation. A remarkable aspect of its internal logic, pioneered by Groenewold and Moyal, has only emerged in the last quarter-century: it furnishes a third, alternative, formulation of quantum mechanics, independent of the conventional Hilbert space, or path integral formulations.In this logically complete and self-standing formulation, one need not choose sides ? coordinate or momentum space. It works in full phase space, accommodating the uncertainty principle, and it offers unique insights into the classical limit of quantum theory. This invaluable book is a collection of the seminal papers on the formulation, with an introductory overview which provides a trail map for those papers; an extensive bibliography; and simple illustrations, suitable for applications to a broad range of physics problems. It can provide supplementary material for a beginning graduate course in quantum mechanics.
Phase Space Picture Of Quantum Mechanics
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Author : Y. S. Kim
language : en
Publisher: World Scientific
Release Date : 1991
Phase Space Picture Of Quantum Mechanics written by Y. S. Kim and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Science categories.
This book covers the theory and applications of the Wigner phase space distribution function and its symmetry properties. The book explains why the phase space picture of quantum mechanics is needed, in addition to the conventional Schrdinger or Heisenberg picture. It is shown that the uncertainty relation can be represented more accurately in this picture. In addition, the phase space picture is shown to be the natural representation of quantum mechanics for modern optics and relativistic quantum mechanics of extended objects.
Ensembles On Configuration Space
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Author : Michael J. W. Hall
language : en
Publisher: Springer
Release Date : 2016-06-11
Ensembles On Configuration Space written by Michael J. W. Hall and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-11 with Science categories.
This book describes a promising approach to problems in the foundations of quantum mechanics, including the measurement problem. The dynamics of ensembles on configuration space is shown here to be a valuable tool for unifying the formalisms of classical and quantum mechanics, for deriving and extending the latter in various ways, and for addressing the quantum measurement problem. A description of physical systems by means of ensembles on configuration space can be introduced at a very fundamental level: the basic building blocks are a configuration space, probabilities, and Hamiltonian equations of motion for the probabilities. The formalism can describe both classical and quantum systems, and their thermodynamics, with the main difference being the choice of ensemble Hamiltonian. Furthermore, there is a natural way of introducing ensemble Hamiltonians that describe the evolution of hybrid systems; i.e., interacting systems that have distinct classical and quantum sectors, allowing for consistent descriptions of quantum systems interacting with classical measurement devices and quantum matter fields interacting gravitationally with a classical spacetime.
The Physics Of Phase Space
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Author : Young S. Kim
language : en
Publisher: Springer
Release Date : 2005-09-13
The Physics Of Phase Space written by Young S. Kim and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-13 with Science categories.
The concept of phase space plays a decisive role in the study of the transition from classical to quantum physics. This is particularly the case in areas such as nonlinear dynamics and chaos, geometric quantization and the study of the various semi-classical theories, which are the setting of the present volume. Much of the content is devoted to the study of the Wigner distribution. This volume gives the first complete survey of the progress made by both mathematicians and physicists. It will serve as an excellent reference for further research.
From Classical To Quantum Mechanics
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Author : Giampiero Esposito
language : en
Publisher: Cambridge University Press
Release Date : 2004-03-11
From Classical To Quantum Mechanics written by Giampiero Esposito and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-11 with Science categories.
This 2004 textbook provides a pedagogical introduction to the formalism, foundations and applications of quantum mechanics. Part I covers the basic material which is necessary to understand the transition from classical to wave mechanics. Topics include classical dynamics, with emphasis on canonical transformations and the Hamilton-Jacobi equation, the Cauchy problem for the wave equation, Helmholtz equation and eikonal approximation, introduction to spin, perturbation theory and scattering theory. The Weyl quantization is presented in Part II, along with the postulates of quantum mechanics. Part III is devoted to topics such as statistical mechanics and black-body radiation, Lagrangian and phase-space formulations of quantum mechanics, and the Dirac equation. This book is intended for use as a textbook for beginning graduate and advanced undergraduate courses. It is self-contained and includes problems to aid the reader's understanding.
Quantum Statistical Mechanics
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Author : P Attard
language : en
Publisher: Myprint
Release Date : 2015-10-29
Quantum Statistical Mechanics written by P Attard and has been published by Myprint this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-29 with categories.
Statistical Mechanics And Scientific Explanation Determinism Indeterminism And Laws Of Nature
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Author : Valia Allori
language : en
Publisher: World Scientific
Release Date : 2020-04-22
Statistical Mechanics And Scientific Explanation Determinism Indeterminism And Laws Of Nature written by Valia Allori and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-22 with Science categories.
The book explores several open questions in the philosophy and the foundations of statistical mechanics. Each chapter is written by a leading expert in philosophy of physics and/or mathematical physics. Here is a list of questions that are addressed in the book: