Feynman Path Integrals in Quantum Mechanics and Statistical Physics 1st Edition by Lukong Cornelius Fai 0367697858 9780367697853
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Product details:
ISBN-10 : 0367697858
ISBN-13 : 9780367697853
Author: Lukong Cornelius Fai
This book provides an ideal introduction to the use of Feynman path integrals in the fields of quantum mechanics and statistical physics. It is written for graduate students and researchers in physics, mathematical physics, applied mathematics as well as chemistry. The material is presented in an accessible manner for readers with little knowledge of quantum mechanics and no prior exposure to path integrals. It begins with elementary concepts and a review of quantum mechanics that gradually builds the framework for the Feynman path integrals and how they are applied to problems in quantum mechanics and statistical physics. Problem sets throughout the book allow readers to test their understanding and reinforce the explanations of the theory in real situations.
Feynman Path Integrals in Quantum Mechanics and Statistical Physics 1st Table of contents:
chapter 1 Path Integral Formalism Intuitive Approach
chapter 2 Matrix Representation of Linear Operators
chapter 3 Operators in Phase Space
chapter 4 Transition Amplitude
chapter 5 Stationary and Quasi-Classical Approximations
chapter 6 Generalized Feynman Path Integration
chapter 7 From Path Integration to the Schrödinger Equation
chapter 8 Quasi-Classical Approximation
chapter 9 Free Particle and Harmonic Oscillator
chapter 10 Matrix Element of a Physical Operator via Functional Integral
chapter 11 Path Integral Perturbation Theory
chapter 12 Transition Matrix Element
chapter 13 Functional Derivative
chapter 14 Quantum Statistical Mechanics Functional Integral Approach
chapter 15 Partition Function and Density Matrix Path Integral Representation
chapter 16 Quasi-Classical Approximation in Quantum Statistical Mechanics
chapter 17 Feynman Variational Method
chapter 18 Polaron Theory
chapter 19 Multiphoton Absorption by Polarons in a Spherical Quantum Dot
chapter 20 Polaronic Kinetics in a Spherical Quantum Dot
chapter 21 Kinetic Theory of Gases
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Tags: Feynman Path, Integrals, Quantum Mechanics, Statistical Physics, Lukong Cornelius Fai
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