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Entropic fluctuations in quantum statistical mechanics—an introduction

V. Jakšić, Y. Ogata, Y. Pautrat, and C.-A. Pillet

in Quantum Theory from Small to Large Scales: Lecture Notes of the Les Houches Summer School: Volume 95, August 2010

Published in print:
2012
Published Online:
September 2012
ISBN:
9780199652495
eISBN:
9780191741203
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199652495.003.0004
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter presents a self-contained introduction to some recent developments in nonequilibrium quantum statistical mechanics. In the elementary framework of finite dimensional quantum systems it ... More


Interpreting Quantum Theories

Laura Ruetsche

Published in print:
2011
Published Online:
September 2011
ISBN:
9780199535408
eISBN:
9780191728525
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199535408.001.0001
Subject:
Philosophy, Philosophy of Science

QM∞ includes quantum field theory and the thermodynamic limit of quantum statistical mechanics — theories which, unlike the ‘ordinary’ quantum theories typically discussed by philosophers, concern ... More


Interpreting Probabilities in Quantum Field Theory and Quantum Statistical Mechanics

Laura Ruetsche and John Earman

in Probabilities in Physics

Published in print:
2011
Published Online:
September 2011
ISBN:
9780199577439
eISBN:
9780191730603
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199577439.003.0010
Subject:
Philosophy, Philosophy of Science, Metaphysics/Epistemology

Philosophical accounts of quantum theory commonly suppose that the observables of a quantum system form a Type-I factor von Neumann algebra. Such algebras always have atoms, which are minimal ... More


A Matter of Degree: Making Sense of Phase Structure

Laura Ruetsche

in Interpreting Quantum Theories

Published in print:
2011
Published Online:
September 2011
ISBN:
9780199535408
eISBN:
9780191728525
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199535408.003.0012
Subject:
Philosophy, Philosophy of Science

This chapter presents three reasons to take quantum statistical mechanics to the thermodynamic limit, where the number of systems considered becomes infinite, in the form of three phenomena that ... More


Equilibrium Statistical Mechanics

Hans-Peter Eckle

in Models of Quantum Matter: A First Course on Integrability and the Bethe Ansatz

Published in print:
2019
Published Online:
September 2019
ISBN:
9780199678839
eISBN:
9780191878589
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780199678839.003.0004
Subject:
Physics, Theoretical, Computational, and Statistical Physics, Condensed Matter Physics / Materials

Chapter 4 reviews the basic notions of equilibrium statistical mechanics and begins with its fundamental postulate and outlines the structure of the theory using the most important of the various ... More


Quantum Ensembles

Robert H. Swendsen

in An Introduction to Statistical Mechanics and Thermodynamics

Published in print:
2012
Published Online:
December 2013
ISBN:
9780199646944
eISBN:
9780191775123
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199646944.003.0022
Subject:
Physics, Condensed Matter Physics / Materials

This chapter begins Part 4 of the text, which is concerned with quantum statistical mechanics. A brief review of quantum mechanics is followed by an extension of statistical mechanics to include ... More


Axioms for QM∞

Laura Ruetsche

in Interpreting Quantum Theories

Published in print:
2011
Published Online:
September 2011
ISBN:
9780199535408
eISBN:
9780191728525
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199535408.003.0005
Subject:
Philosophy, Philosophy of Science

This chapter employs the mathematical apparatus developed in Chapter 4 to present several sets of axioms supposed to govern quantum field theory in Minkowski spacetime, quantum field theory in curved ... More


Quantum Mechanical Ensemble Averages and Statistical Thermodynamics

Norman J. Morgenstern Horing

in Quantum Statistical Field Theory: An Introduction to Schwinger's Variational Method with Green's Function Nanoapplications, Graphene and Superconductivity

Published in print:
2017
Published Online:
January 2018
ISBN:
9780198791942
eISBN:
9780191834165
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198791942.003.0006
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Chapter 6 introduces quantum-mechanical ensemble theory by proving the asymptotic equivalence of the quantum-mechanical, microcanonical ensemble average with the quantum grand canonical ensemble ... More


Applications of path integrals

Efstratios Manousakis

in Practical Quantum Mechanics: Modern Tools and Applications

Published in print:
2015
Published Online:
December 2015
ISBN:
9780198749349
eISBN:
9780191813474
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198749349.003.0014
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter discusses some applications of path integrals. First, it illustrates how their qualitative use can yield insights. As an example, it applies it to the so-called Bohm–Aharonov effect. ... More


Introduction

Robert H. Swendsen

in An Introduction to Statistical Mechanics and Thermodynamics

Published in print:
2019
Published Online:
February 2020
ISBN:
9780198853237
eISBN:
9780191887703
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198853237.003.0001
Subject:
Physics, Condensed Matter Physics / Materials, Theoretical, Computational, and Statistical Physics

The introduction gives the plan of the book and guides the reader to the main points. The book is divided into four parts: Part I provides a complete derivation of the entropy of the ideal gas, a ... More


Interlude: Symmetry Breaking in Qsm

Laura Ruetsche

in Interpreting Quantum Theories

Published in print:
2011
Published Online:
September 2011
ISBN:
9780199535408
eISBN:
9780191728525
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199535408.003.0013
Subject:
Philosophy, Philosophy of Science

This chapter and the next explore a response to a natural objection to the conclusion of Chapter 12. The natural objection is, based on models of steaming tea cups that idealize them as infinite in ... More


Re: Interpreting Physical Theories

Laura Ruetsche

in Interpreting Quantum Theories

Published in print:
2011
Published Online:
September 2011
ISBN:
9780199535408
eISBN:
9780191728525
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199535408.003.0015
Subject:
Philosophy, Philosophy of Science

This chapter attempts to bring the foregoing foundational discussion of QM∞ to bear on issues in the philosophy of science more generally construed. Taking one lesson of the foregoing foundational ... More


Spin liquids and frustrated magnetism

John T. Chalker

in Topological Aspects of Condensed Matter Physics: Lecture Notes of the Les Houches Summer School: Volume 103, August 2014

Published in print:
2017
Published Online:
March 2017
ISBN:
9780198785781
eISBN:
9780191827600
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198785781.003.0003
Subject:
Physics, Condensed Matter Physics / Materials

Two important markers in the history of research on spin liquids and frustrated magnetism are Anderson’s suggestion, over 40 years ago, of the resonating valence bond state as an alternative to Néel ... More


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