Quantum Theory and Statistical Thermodynamics

Quantum Theory and Statistical Thermodynamics
Author: Peter Hertel
Publisher: Springer
Total Pages: 382
Release: 2017-08-16
Genre: Science
ISBN: 3319585959

Download Quantum Theory and Statistical Thermodynamics Book in PDF, Epub and Kindle

This textbook presents a concise yet detailed introduction to quantum physics. Concise, because it condenses the essentials to a few principles. Detailed, because these few principles – necessarily rather abstract – are illustrated by several telling examples. A fairly complete overview of the conventional quantum mechanics curriculum is the primary focus, but the huge field of statistical thermodynamics is covered as well. The text explains why a few key discoveries shattered the prevailing broadly accepted classical view of physics. First, matter appears to consist of particles which, when propagating, resemble waves. Consequently, some observable properties cannot be measured simultaneously with arbitrary precision. Second, events with single particles are not determined, but are more or less probable. The essence of this is that the observable properties of a physical system are to be represented by non-commuting mathematical objects instead of real numbers. Chapters on exceptionally simple, but highly instructive examples illustrate this abstract formulation of quantum physics. The simplest atoms, ions, and molecules are explained, describing their interaction with electromagnetic radiation as well as the scattering of particles. A short introduction to many particle physics with an outlook on quantum fields follows. There is a chapter on maximally mixed states of very large systems, that is statistical thermodynamics. The following chapter on the linear response to perturbations provides a link to the material equations of continuum physics. Mathematical details which would hinder the flow of the main text have been deferred to an appendix. The book addresses university students of physics and related fields. It will attract graduate students and professionals in particular who wish to systematize or refresh their knowledge of quantum physics when studying specialized texts on solid state and materials physics, advanced optics, and other modern fields.

Quantum Statistical Mechanics

Quantum Statistical Mechanics
Author: William C. Schieve
Publisher: Cambridge University Press
Total Pages: 429
Release: 2009-04-16
Genre: Science
ISBN: 0521841461

Download Quantum Statistical Mechanics Book in PDF, Epub and Kindle

Introduces many-body theory of modern quantum statistical mechanics to graduate students in physics, chemistry, engineering and biology.

Introductory Applied Quantum and Statistical Mechanics

Introductory Applied Quantum and Statistical Mechanics
Author: Peter L. Hagelstein
Publisher: John Wiley & Sons
Total Pages: 804
Release: 2004-03-25
Genre: Technology & Engineering
ISBN: 9780471202769

Download Introductory Applied Quantum and Statistical Mechanics Book in PDF, Epub and Kindle

* An applied focus for electrical engineers and materials scientists. * Theoretical results supported with real-world systems and applications. * Includes worked examples and self-study questions. * Solutions manual available.

An Introduction to Statistical Thermodynamics

An Introduction to Statistical Thermodynamics
Author: Terrell L. Hill
Publisher: Courier Corporation
Total Pages: 546
Release: 2012-06-08
Genre: Science
ISBN: 0486130908

Download An Introduction to Statistical Thermodynamics Book in PDF, Epub and Kindle

Four-part treatment covers principles of quantum statistical mechanics, systems composed of independent molecules or other independent subsystems, and systems of interacting molecules, concluding with a consideration of quantum statistics.

Algebraic Methods in Statistical Mechanics and Quantum Field Theory

Algebraic Methods in Statistical Mechanics and Quantum Field Theory
Author: Dr. Gérard G. Emch
Publisher: Courier Corporation
Total Pages: 336
Release: 2014-08-04
Genre: Science
ISBN: 0486151719

Download Algebraic Methods in Statistical Mechanics and Quantum Field Theory Book in PDF, Epub and Kindle

This systematic algebraic approach offers a careful formulation of the problems' physical motivations as well as self-contained descriptions of the mathematical methods for arriving at solutions. 1972 edition.

Introduction to Quantum Statistical Mechanics

Introduction to Quantum Statistical Mechanics
Author: N. N. Bogolubov, Jr.
Publisher: World Scientific
Total Pages: 439
Release: 2010
Genre: Science
ISBN: 9814295191

Download Introduction to Quantum Statistical Mechanics Book in PDF, Epub and Kindle

Introduction to Quantum Statistical Mechanics (2nd Edition) may be used as an advanced textbook by graduate students, even ambitious undergraduates in physics. It is also suitable for non experts in physics who wish to have an overview of some of the classic and fundamental quantum models in the subject. The explanation in the book is detailed enough to capture the interest of the reader, and complete enough to provide the necessary background material needed to dwell further into the subject and explore the research literature.

Thermodynamics And Statistical Mechanics

Thermodynamics And Statistical Mechanics
Author: Richard Fitzpatrick
Publisher: World Scientific
Total Pages: 358
Release: 2020-07-07
Genre: Science
ISBN: 9811223378

Download Thermodynamics And Statistical Mechanics Book in PDF, Epub and Kindle

This book provides a comprehensive exposition of the theory of equilibrium thermodynamics and statistical mechanics at a level suitable for well-prepared undergraduate students. The fundamental message of the book is that all results in equilibrium thermodynamics and statistical mechanics follow from a single unprovable axiom — namely, the principle of equal a priori probabilities — combined with elementary probability theory, elementary classical mechanics, and elementary quantum mechanics.

Quantum Field Theory and Statistical Mechanics

Quantum Field Theory and Statistical Mechanics
Author: James Glimm
Publisher: Springer Science & Business Media
Total Pages: 406
Release: 2012-12-06
Genre: Science
ISBN: 1461251583

Download Quantum Field Theory and Statistical Mechanics Book in PDF, Epub and Kindle

This volume contains a selection of expository articles on quantum field theory and statistical mechanics by James Glimm and Arthur Jaffe. They include a solution of the original interacting quantum field equations and a description of the physics which these equations contain. Quantum fields were proposed in the late 1920s as the natural framework which combines quantum theory with relativ ity. They have survived ever since. The mathematical description for quantum theory starts with a Hilbert space H of state vectors. Quantum fields are linear operators on this space, which satisfy nonlinear wave equations of fundamental physics, including coupled Dirac, Max well and Yang-Mills equations. The field operators are restricted to satisfy a "locality" requirement that they commute (or anti-commute in the case of fer mions) at space-like separated points. This condition is compatible with finite propagation speed, and hence with special relativity. Asymptotically, these fields converge for large time to linear fields describing free particles. Using these ideas a scattering theory had been developed, based on the existence of local quantum fields.

Quantum Theory as an Emergent Phenomenon

Quantum Theory as an Emergent Phenomenon
Author: Stephen L. Adler
Publisher: Cambridge University Press
Total Pages: 239
Release: 2004-08-26
Genre: Science
ISBN: 1139454099

Download Quantum Theory as an Emergent Phenomenon Book in PDF, Epub and Kindle

Quantum mechanics is our most successful physical theory. However, it raises conceptual issues that have perplexed physicists and philosophers of science for decades. This 2004 book develops an approach, based on the proposal that quantum theory is not a complete, final theory, but is in fact an emergent phenomenon arising from a deeper level of dynamics. The dynamics at this deeper level are taken to be an extension of classical dynamics to non-commuting matrix variables, with cyclic permutation inside a trace used as the basic calculational tool. With plausible assumptions, quantum theory is shown to emerge as the statistical thermodynamics of this underlying theory, with the canonical commutation/anticommutation relations derived from a generalized equipartition theorem. Brownian motion corrections to this thermodynamics are argued to lead to state vector reduction and to the probabilistic interpretation of quantum theory, making contact with phenomenological proposals for stochastic modifications to Schrödinger dynamics.