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The Philosophy of Quantum Field Theory

David John Baker.

P ublished online June 2016 .

Article. Subjects: Philosophy of Science. 9200 words.

This is an opinionated survey of some interpretive puzzles in quantum field theory. The problem of inequivalent representations is sketched, including its connections with competing...

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Quantum theory of specific heat

Ta-Pei Cheng.

in Einstein's Physics

January 2013; p ublished online May 2013 .

Chapter. Subjects: Astronomy and Astrophysics. 4795 words.

A year after his photon proposal, Einstein came to the conclusion that his quantum idea was compatible with Planck’s energy quanta. He provided a derivation of Planck’s spectrum...

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Theory of Quantum Hall States

Xiao-Gang Wen.

in Quantum Field Theory of Many-Body Systems

September 2007; p ublished online February 2010 .

Chapter. Subjects: Mathematical and Statistical Physics. 18090 words.

Electrons on the interface of two semiconductors can form a new state of matter — fractional quantum Hall (FQH) state — under strong magnetic fields. FQH states cannot be described by...

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Relational Blockworld and Quantum Field Theory

Michael Silberstein, W.M. Stuckey and Timothy McDevitt.

in Beyond the Dynamical Universe

February 2018; p ublished online March 2018 .

Chapter. Subjects: Mathematical and Statistical Physics; History of Science and Technology. 9922 words.

A brief introduction to particle physics and quantum field theory (QFT) is presented in the main thread of chapter 5. The impasse of unification in particle physics is historically...

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Atoms and Light: Quantum Theory

Peter W. Milonni.

in An Introduction to Quantum Optics and Quantum Fluctuations

January 2019; p ublished online April 2019 .

Chapter. Subjects: Atomic, Molecular, and Optical Physics. 29377 words.

Some of the most basic aspects of the interaction of atoms with light are considered, with emphasis on distinctly quantum-electrodynamical effects. Absorption and stimulated emission are...

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Anomalies in Quantum Field Theory

Reinhold A. Bertlmann.

November 2000; p ublished online February 2010 .

Book. Subjects: Mathematical and Statistical Physics. 560 pages.

The anomaly, which forms the central part of this book, is the failure of classical symmetry to survive the process of quantization and regularization. The study of anomalies is the key to...

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Random matrix theory and quantum chromodynamics

Gernot Akemann.

in Stochastic Processes and Random Matrices

August 2017; p ublished online January 2018 .

Chapter. Subjects: Mathematical and Statistical Physics. 30613 words.

This chapter was originally presented to a mixed audience of physicists and mathematicians with some basic working knowledge of random matrix theory. The first part is devoted to the...

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The Empirical Basis of Quantum Theory

Bas C. van Fraassen.

in Quantum Mechanics

September 1991; p ublished online November 2003 .

Chapter. Subjects: Philosophy of Science. 10270 words.

If the world is not deterministic, then at the very least, some individual events just happen ’by chance’. But the frequency of such events and correlations between them could be subject to...

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QLB for Quantum Many-Body and Quantum Field Theory

Sauro Succi.

in The Lattice Boltzmann Equation

April 2018; p ublished online June 2018 .

Chapter. Subjects: Mathematical and Statistical Physics; Condensed Matter Physics. 10431 words.

Chapter 32 expounded the basic theory of quantum LB for the case of relativistic and non-relativistic wavefunctions, namely single-particle quantum mechanics. This chapter goes on to cover...

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Interpreting Probabilities in Quantum Field Theory and Quantum Statistical Mechanics

Laura Ruetsche and John Earman.

in Probabilities in Physics

September 2011; p ublished online September 2011 .

Chapter. Subjects: Philosophy of Science. 14542 words.

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...

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Quantum Information Theory and the Foundations of Quantum Mechanics

Christopher G. Timpson.

April 2013; p ublished online September 2013 .

Book. Subjects: Philosophy of Science. 320 pages.

This book is a conceptual analysis of quantum information theory and the questions it raises for our understanding of the quantum world. Beginning from a detailed analysis of the concepts...

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Quantum Mechanics and Quantum Field Theories in the Quantized Space. I

Yoshio Yamaguchi.

in Progress of Theoretical Physics

April 2004; p ublished online April 2004 .

Journal Article. 0 words.

The Riemannian phase space theory is developed here. It is a generalization of the usual Lorentz invariant theory. Its basic formulation is given in order to apply quantum physics, i.e.,...

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Braided Quantum Field Theories and Their Symmetries

Yuya Sasai and Naoki Sasakura.

in Progress of Theoretical Physics

October 2007; p ublished online October 2007 .

Journal Article. 0 words.

Braided quantum field theories, proposed by Oeckl, can provide a framework for quantum field theories that possess Hopf algebra symmetries. In quantum field theories, symmetries lead to...

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The Emergence of Classicality from Quantum Theory

Erich Joos.

in The Re-Emergence of Emergence

May 2008; p ublished online October 2011 .

Chapter. Subjects: Christian Theology. 8420 words.

A thoroughgoing and consistent application of quantum theory shows that the connection between classical and quantum physics is very different from what can be found in standard textbooks....

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Quantum Field Theory for the Gifted Amateur

Tom Lancaster and Stephen J. Blundell.

April 2014; p ublished online June 2014 .

Book. Subjects: Astronomy and Astrophysics. 512 pages.

Quantum field theory is arguably the most far-reaching and beautiful physical theory ever constructed, with aspects more stringently tested and verified to greater precision than any other...

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Some Remarks on the Foundations of Quantum Theory

E. B. Davies.

in The British Journal for the Philosophy of Science

September 2005; p ublished online August 2005 .

Journal Article. Subjects: Philosophy of Science; Science and Mathematics. 8331 words.

Although many physicists have little interest in philosophical arguments about their subject, an analysis of debates about the paradoxes of quantum mechanics shows that their disagreements...

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Quantum Field Theory of Many-Body Systems

Xiao-Gang Wen.

September 2007; p ublished online February 2010 .

Book. Subjects: Mathematical and Statistical Physics. 520 pages.

For most of the last century, condensed matter physics has been dominated by band theory and Landau's symmetry breaking theory. In the last twenty years, however, there has been an...

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Non-perturbative foundations of quantum field theory

Franco Strocchi.

in An Introduction to Non-Perturbative Foundations of Quantum Field Theory

February 2013; p ublished online May 2013 .

Chapter. Subjects: Astronomy and Astrophysics. 8741 words.

This chapter discusses the physical principles that characterize a theory which combines quantum mechanics and relativity, describing particle interactions by fields: QM1, Hilbert space...

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Quantum Field Theory At Finite Temperature: Equilibrium Properties

JEAN ZINN-JUSTIN.

in Quantum Field Theory and Critical Phenomena

June 2002; p ublished online January 2010 .

Chapter. Subjects: Mathematical and Statistical Physics. 14589 words.

This chapter reviews some equilibrium properties in Statistical Quantum Field Theory, that is, relativistic Quantum Field Theory (QFT) at finite temperature, a relativistic extension of the...

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Einstein's Issue: The Puzzle of Contemporary Quantum Theory

Huw Price.

in Time's Arrow & Archimedes' Point

October 1997; p ublished online October 2011 .

Chapter. Subjects: Philosophy of Science. 16865 words.

Albert Einstein is known throughout history as a significant contributor to science, most notably in the field of physics. He was one of the pioneers of quantum physics, and was the first...

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