V.A. Fock - Selected Works: Quantum Mechanics and Quantum Field Theory, 1st Edition (Hardback) book cover

V.A. Fock - Selected Works

Quantum Mechanics and Quantum Field Theory, 1st Edition

Edited by L.D. Faddeev, L.A. Khalfin, I.V. Komarov

CRC Press

584 pages | 12 B/W Illus.

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pub: 2004-05-21
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Description

In the period between the birth of quantum mechanics and the late 1950s, V.A. Fock wrote papers that are now deemed classics. In his works on theoretical physics, Fock not only skillfully applied advanced analytical and algebraic methods, but also systematically created new mathematical tools when existing approaches proved insufficient.

This collection of Fock's papers published in various sources between 1923 and 1959 in Russian, German, French, and English. These papers explore some of the fundamental notions of theoretical quantum physics, such as the Hartree-Fock method, Fock space, the Fock symmetry of the hydrogen atom, and the Fock functional method. They also present Fock's views on the interpretation of quantum mechanics and the fundamental significance of approximate methods in theoretical physics.

V.A. Fock was a key contributor to one of the most exciting periods of development in 20th-century physics, and this book conveys the essence of that time. The seminal works presented in this book are a helpful reference for any student or researcher in theoretical and mathematical physics, especially those specializing in quantum mechanics and quantum field theory.

Reviews

“… contains basic contributions to quantum mechanics and quantum field theory. Many of them have been appeared originally in French, German or Russian, and are translated just for this volume. Besides acknowledging the translators, a brief description on his impressive personality and his scientific life is given in the preface where also the papers are grouped together and their selection is motivated. … It is fascinated to read these papers which concerns besides of fundamental theoretical developments, also very useful methods for application.”

— K. E. Hellwig, Berlin, in Zentralblatt Math 1088, 2007

Table of Contents

On Rayleigh's Pendulum

On Schrodinger's Wave Mechanics

On the Invariant form of the Wave Equation and of the Equations of Motion for a Charged Massive Point

A Comment on Quantization of the Harmonic Oscillator in a Magnetic Field

On the Relation Between the Integrals of the Quantum Mechanical Equations of Motion and the Schrödinger Wave Equation

Generalization and Solution of the Dirac Statistical Equation

Proof of the Adiabatic Theorem

On “Improper” Functions in Quantum Mechanics

On the Notion of Velocity in the Dirac Theory of the Electron

On the Dirac Equations in General Relativity

Dirac Wave Equation and Riemann Geometry

A Comment on the Virial Relation

An Approximate Method for Solving the Quantum Many-body Problem

Application of the Generalized Hartree Method to the Sodium Atom

New Uncertainty Properties of the Electromagnetic Field

The Mechanics of Photons

A Comment on the Virial Relation in Classical Mechanics

Configuration Space and Second Quantization

On Dirac's Quantum Electrodynamics

On Quantization of Electro-magnetic waves and Interaction of Charges in Dirac Theory

On Quantum Electrodynamics

On the Theory of Positrons

On Quantum Exchange Energy

On the Numerical Solution of Generalized Equations of the Self-Consistent Field

An Approximate Representation of the Wave Functions of Penetrating Orbits

On Quantum Electrodynamics

Hydrogen Atom and Non-Euclidean Geometry

Extremal Problems in Quantum Theory

The Fundamental Significance of Approximate Methods in Theoretical Physics

The Method of Functionals in Quantum Electrodynamics

Proper Time in Classical and Quantum Mechanics

Incomplete Separation of Variables for Divalent Atoms

On the Wave Functions of Many-Electron Systems

On the Representation of an Arbitrary Function by an Integral Involving Legendre's Function with a Complex Index

On the Uncertainty Relation Between Time and Energy

Application of Two-electron Functions in the Theory of Chemical Bonds

On the Interpretation of Quantum Mechanics

On the Canonical Transformation in Classical and Quantum Mechanics.

Subject Categories

BISAC Subject Codes/Headings:
SCI040000
SCIENCE / Mathematical Physics
SCI057000
SCIENCE / Quantum Theory