Aspects of Polaron Theory

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.

ISBN 9812833986   Pages 180 ISBN13 9789812833983 (What's this?)   Volumes 1 Publisher World Scientific Publishing Co Pte Ltd   Weight (grammes) 431 Imprint World Scientific Publishing Co Pte Ltd   Published in Singapore Format Hardback   Height (mm) 231 Publication date 11 Apr 2008   Width (mm) 155 Library of Congress QC176   Spine width (mm) 20 DEWEY 539.72112   Academic level Postgraduate DEWEY edition DC21

		Introduction		3
Ch. 1		Linear Polaron Model		15
1.1		Introduction to the Linear Polaron Model		15
1.2		Equations of Motion		18
1.3		Two-time Correlation Functions and Green Functions for the Linear Polaron Model		21
1.4		Free Energy Calculation for the Linear Polaron Model		32
1.5		Average Values of T-products		42
1.6		Averaged Operator T-Product Calculus for Some Model Oscillatory Systems		45
1.7		Auxiliary Operator Identities		60
Ch. 2		Equilibrium Thermodynamic State of Polaron System		63
2.1		Free Energy and Ground State Energy Calculation		63
2.2		Equilibrium Momentum Distribution Function in the Polaron Theory		93
Ch. 3		Kinetic Equations in Polaron Theory		117
3.1		Generalized Kinetic Equation. Method of Rigorous Bose-Amplitude Elimination		118
3.2		Kinetic Equations in the First-Order Approximation for Weak Interactions		128
3.3		Nonequilibrium Properties of the Linear Polaron Model		135
		Appendix I		163
		Appendix II		167
		Appendix II		171
		References		173

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