Path Integrals in Quantum Mechanics

Path Integrals in Quantum Mechanics

by Jean Zinn-Justin
     
 

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ISBN-10: 0198566751

ISBN-13: 9780198566755

Pub. Date: 09/03/2010

Publisher: Oxford University Press

Zinn-Justin (Dapnia, CEA/Saclay and mathematics, U. of Paris VII) describes this alternate point of view that has proven very useful in quantum field theory and its applications from particle physics to phase transitions or properties of quantum gases. He begins by introducing, in the case of ordinary integrals, concepts and methods that can be generalized to path

Overview

Zinn-Justin (Dapnia, CEA/Saclay and mathematics, U. of Paris VII) describes this alternate point of view that has proven very useful in quantum field theory and its applications from particle physics to phase transitions or properties of quantum gases. He begins by introducing, in the case of ordinary integrals, concepts and methods that can be generalized to path integrals, including offering a section on gaussian integrals and complex matrices. He then describes path integrals within quantum mechanics, and follows with chapters on partition function and spectrum, classical and quantum statistical physics, path integrals and quantization, path integrals and holomorphic formalism, path integrals and formions, semi-classical approximation of barrier penetration, quantum evolution and scattering matrix, and path integrals in phase space. In an appendix he provides basic information on quantum mechanics, including Hilbert space and operators, quantum evolution, symmetries and the density matrix, and Schrodinger equations. Annotation ©2004 Book News, Inc., Portland, OR

Product Details

ISBN-13:
9780198566755
Publisher:
Oxford University Press
Publication date:
09/03/2010
Pages:
336
Product dimensions:
6.60(w) x 9.40(h) x 0.90(d)

Table of Contents

1. Gaussian integrals
2. Path integral in quantum mechanics
3. Partition function and spectrum
4. Classical and quantum statistical physics
5. Path integrals and quantization
6. Path integral and holomorphic formalism
7. Path integrals: fermions
8. Barrier penetration: semi-classical approximation
9. Quantum evolution and scattering matrix
10. Path integrals in phase space
Quantum mechanics: minimal background
A1. Hilbert space and operators
A2. Quantum evolution, symmetries and density matrix
A3. Position and momentum. Scrödinger equation

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