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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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