N.N. Bogolubov's Books

Some Aspects of Polaron Theory

By: N. N. Bogoljubov

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Some Aspects of Polaron Theory

By: N. N. Bogoljubov

This monograph is an amplification of a set of special lectures delivered by the authors in the Physics Department of Moscow State University. The linear polaron model is studied. It is shown that the system is soluble for arbitrary coupling interaction strength between the electron and lattice vibrations. Detailed calculational techniques for obtaining the correlation, spectral and Green functions are given. The thermodynamic properties of the system are studied within the framework of the functional method.

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Page Count

136

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World Scientific

Published Date

ISBN 10

9971978997

ISBN 13

9789971978990

Polaron Theory

Model Problems

By: N. N. Bogolubov Jr.

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Polaron Theory

Model Problems

By: N. N. Bogolubov Jr.

Beginning with an introduction to the T-product approach in the theory of a particle interacting with bosonic fields as applied, for example, to the linearized polaron model, the book goes on to deal with the equilibrium state objective being to derive Bogolubov's inequality for the reduced free energy of the polaron. The third chapter deals with some problems related to the non-equilibrium polaron theory, including polaron kinetics. Finally, alternative methods used in polaron theory are also presented and compared with Bogolubov's method.

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Page Count

268

Publisher

CRC Press

Published Date

ISBN 10

9056991620

ISBN 13

9789056991623

Aspects of Polaron Theory

Equilibrium and Nonequilibrium Problems

By: N. N. Bogolubov, Jr.

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Aspects of Polaron Theory

Equilibrium and Nonequilibrium Problems

By: N. N. Bogolubov, Jr.

This book follows a step-by-step approach, from comparatively simple physical ideas to a clear understanding of sophisticated mathematical tools of investigation in modern polaron physics. The reader is able to compare the physical point of view with methods proposed in the book, and at the same time grasp the underlying mathematics.

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Page Count

183

Publisher

World Scientific

Published Date

ISBN 10

9812833994

ISBN 13

9789812833990

Introduction to Quantum Statistical Mechanics

By: N. N. Bogolubov, Jr.

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Introduction to Quantum Statistical Mechanics

By: N. N. Bogolubov, Jr.

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.

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439

Publisher

World Scientific

Published Date

ISBN 10

9814295191

ISBN 13

9789814295192

General Principles of Quantum Field Theory

By: N.N. Bogolubov,Anatoly A. Logunov,A.I. Oksak,I. Todorov

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General Principles of Quantum Field Theory

By: N.N. Bogolubov,Anatoly A. Logunov,A.I. Oksak,I. Todorov

The majority of the "memorable" results of relativistic quantum theory were obtained within the framework of the local quantum field approach. The explanation of the basic principles of the local theory and its mathematical structure has left its mark on all modern activity in this area. Originally, the axiomatic approach arose from attempts to give a mathematical meaning to the quantum field theory of strong interactions (of Yukawa type). The fields in such a theory are realized by operators in Hilbert space with a positive Poincare-invariant scalar product. This "classical" part of the axiomatic approach attained its modern form as far back as the sixties. * It has retained its importance even to this day, in spite of the fact that nowadays the main prospects for the description of the electro-weak and strong interactions are in connection with the theory of gauge fields. In fact, from the point of view of the quark model, the theory of strong interactions of Wightman type was obtained by restricting attention to just the "physical" local operators (such as hadronic fields consisting of ''fundamental'' quark fields) acting in a Hilbert space of physical states. In principle, there are enough such "physical" fields for a description of hadronic physics, although this means that one must reject the traditional local Lagrangian formalism. (The connection is restored in the approximation of low-energy "phe nomenological" Lagrangians.

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Page Count

714

Publisher

Springer Science & Business Media

Published Date

ISBN 10

9400904916

ISBN 13

9789400904910

Selected Works

Quantum field theory

By: N. N. Bogolubov (Jr.)

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Selected Works

Quantum field theory

By: N. N. Bogolubov (Jr.)

This volume contains some of Bogolubov's papers on quantum field theory and the theory of elementary particles. The work undertaken by the author in the 1950s gave rise to some entirely new concepts, which include his suggestion that an appropriate mathematical method for quantum field theory should involve distributions, and his dismissal of his contemporaries' view of divergences as a problem. Also included in this collection are Bogolubov's proof of the theorem that the scattering matrix is determined in each order of peturbation theory up to quasi-local operators, together with his formulation of the method of the renormalization group in quantum field theory

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442

Publisher

CRC Press

Published Date

ISBN 10

2881249264

ISBN 13

9782881249266

Dynamical Theory

By: N. N. Bogolubov

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Dynamical Theory

By: N. N. Bogolubov

A collection of Bogolubov's papers on dynamical theory, which introduce the key concept of the hierarchy of relaxation times in statistical physics. A method of obtaining a system of coupled equations for the probability densities for groups of one or more particles is proposed. This has proved to be the most effective method in statistical mechanics for equilibrium and non-equilibrium to date. In his papers, Bogolubov clarifies how stochastic behaviour, which is specific for a macroscopic description, arises in a purely mechanistic approach, in which microscopic equations of dynamical theory are used.

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Page Count

408

Publisher

CRC Press

Published Date

ISBN 10

2881247520

ISBN 13

9782881247521

General Principles of Quantum Field Theory

By: N.N. Bogolubov,Anatoly A. Logunov,A. I. Oksak,I. Todorov

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General Principles of Quantum Field Theory

By: N.N. Bogolubov,Anatoly A. Logunov,A. I. Oksak,I. Todorov

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Page Count

720

Publisher

Springer Science & Business Media

Published Date

ISBN 10

079230540X

ISBN 13

9780792305408

General Principles of Quantum Field Theory

By: N.N. Bogolubov,Anatoly A. Logunov,A. I. Oksak,I. Todorov

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General Principles of Quantum Field Theory

By: N.N. Bogolubov,Anatoly A. Logunov,A. I. Oksak,I. Todorov

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Page Count

695

Publisher

Springer

Published Date

ISBN 10

9400904924

ISBN 13

9789400904927

Introduction To Quantum Statistical Mechanics (2nd Edition)

By: N N Bogolubov,Nickolai N Bogolubov Jr

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Introduction To Quantum Statistical Mechanics (2nd Edition)

By: N N Bogolubov,Nickolai N Bogolubov Jr

Introduction to Quantum Statistical Mechanics (Second 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.

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Page Count

439

Publisher

World Scientific Publishing Company

Published Date

ISBN 10

9813100958

ISBN 13

9789813100954

Polaron Theory

Model Problems

By: N. N. Bogolubov Jr.

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Polaron Theory

Model Problems

By: N. N. Bogolubov Jr.

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Page Count

265

Publisher

CRC Press

Published Date

ISBN 10

1482296888

ISBN 13

9781482296884

Quantum Field Theory with Application to Quantum Nonlinear Optics

By: Anatoliĭ Karolevich Prikarpatskiĭ,Ufuk Taneri,Nickolai N. Bogolubov, Jr.

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Quantum Field Theory with Application to Quantum Nonlinear Optics

By: Anatoliĭ Karolevich Prikarpatskiĭ,Ufuk Taneri,Nickolai N. Bogolubov, Jr.

Multi-photon excitation states of poly-atomic molecules undergoing a self-interaction via Kerr effect related processes are of great interest today. Their successful study must be both analytical and by means of modern quantum field theoretical tools. This book deals with these and related topics by developing modern quantum field theory methods for the analysis of radiative states in a nonlinear quantum-optical system. These lecture notes are ideally suited to graduate mathematical physics and physics students, but can also be of interest to mathematicians involved in applied physics problems, and physicists and chemists studying phenomena related with modern quantum-optical devices.

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Page Count

122

Publisher

World Scientific Publishing Company Incorporated

Published Date

ISBN 10

9812381635

ISBN 13

9789812381637

Some Aspects of Polaron Theory

By: N. N. Bogoljubov

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Some Aspects of Polaron Theory

By: N. N. Bogoljubov

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Page Count

136

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World Scientific

Published Date

ISBN 10

9971978997

ISBN 13

9789971978990

Aspects of Polaron Theory

Equilibrium and Nonequilibrium Problems

By: Nickolai N. Bogolubov Jr

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Aspects of Polaron Theory

Equilibrium and Nonequilibrium Problems

By: Nickolai N. Bogolubov Jr

The linear polaron model is an excellent example of an exactly soluble, yet nontrivial polaron system. It serves as a trial system or zero-level approximation in many sophisticated methods of polaron investigation. This book analyzes, in particular, the possibility of reduction of the full polaron Hamiltonian to the linear one, and introduces a special method of calculating thermodynamical characteristics based on the calculation of the averages of T-products. This T-product formalism seems to be a more convenient way of doing similar calculations involving Feynman's path integral approach.This book follows a step-by-step approach, from comparatively simple physical ideas to a clear understanding of sophisticated mathematical tools of investigation in modern polaron physics. The reader is able to compare the physical point of view with methods proposed in the book, and at the same time grasp the underlying mathematics.Some familiarity with quantum statistical mechanics is desirable in reading this book.

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Page Count

183

Publisher

World Scientific

Published Date

ISBN 10

9812833986

ISBN 13

9789812833983

Book's by N.N. Bogolubov

Some Aspects of Polaron Theory

Some Aspects of Polaron Theory

Polaron Theory

Polaron Theory

Aspects of Polaron Theory

Aspects of Polaron Theory

Introduction to Quantum Statistical Mechanics

Introduction to Quantum Statistical Mechanics

General Principles of Quantum Field Theory

General Principles of Quantum Field Theory

Selected Works

Selected Works

Dynamical Theory

Dynamical Theory

General Principles of Quantum Field Theory

General Principles of Quantum Field Theory

General Principles of Quantum Field Theory

General Principles of Quantum Field Theory

Introduction To Quantum Statistical Mechanics (2nd Edition)

Introduction To Quantum Statistical Mechanics (2nd Edition)

Polaron Theory

Polaron Theory

Quantum Field Theory with Application to Quantum Nonlinear Optics

Quantum Field Theory with Application to Quantum Nonlinear Optics

Some Aspects of Polaron Theory

Some Aspects of Polaron Theory

Aspects of Polaron Theory

Aspects of Polaron Theory

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