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Fetter A.L., Walecka J.D. Quantum Theory of Many-Particle Systems

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Fetter A.L., Walecka J.D. Quantum Theory of Many-Particle Systems
McGraw-Hill,Inc., SanFrancisco, London, Mexico, 2003. – 602 p. – ISBN: 0486428273, 0070206538
A self-contained, unified treatment of nonrelativistic many-particle systems, this text offers a solid introduction to procedures in a manner that enables students to adopt techniques for their own use. Its discussions of formalism and applications move easily between general theory and direct use by offering illustrations of principles to specific cases.
Chapters on second quantization and statistical mechanics introduce students to ground-state (zero-temperature) formalism, which is explored by way of Green’s functions and field theory (fermions), Fermi systems, linear response and collective modes, and Bose systems. Finite-temperature formalism is examined through field theory at finite temperature, physical systems at finite temperature, and real-time Green’s functions and linear response. Additional topics cover canonical transformations and applications to physical systems in terms of nuclear matter, phonons and electrons, superconductivity, and superfluid helium as well as applications to finite systems.
Graduate students will find this text enormously practical in making the transition from taking courses in quantum mechanics to interpreting the vast quantity of literature concerning the many-body problem.
Contents
Introduction
Second Guantization
Statistical Mechanics
Clground-State (Zero-Tem Perature) Formalism
Green's Functions and Fieldtheory (Fermions)
Goldstone'stheorem
Ferm Isystems
Linear Responseand Collectivem Odes
Bose System
Finite-Tem Perature Formalism
Field Theory at Finitetem Perature
Physical systems at Finitetem Perature
Real-Tim Egreen's Functions and Linear Response
Canonical Transformations
Canonical Transformations
Applications to Physical Systems
Nuclear Matter
Phonons and Electrons
Superconductivity
Superfluid Helium
Applications to Finitesystems: the Atomic Nucleus
Appendixes
Definite Integrals
Review of the Theohy of Angular Momentum
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