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Introduction to quantum mechanics Schrodinger equation and path integral

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This text on quantum mechanics begins by covering all the main topics of an introduction to the subject. It then concentrates on newer developments. In particular it continues with the perturbative solution of the Schrödinger equation for various potentials and thereafter with the introduction and e...

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Bibliographic Details
Main Author: Muller-Kirsten, Harald J.W
Format: Book
Language:English
Published: Hackensack, NJ World Scientific 2012
Edition:2nd ed.
Subjects:
Quantum theory
Schrödinger equation
Path integrals
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Table of Contents:
  • Introduction
  • Hamiltonian mechanics
  • Mathematical foundations of quantum mechanics
  • Dirac's Ket- and Bra- formalism
  • Schrodinger equation and Liouville equation
  • Quantum mechanics of the harmonic oscillator
  • Green's functions
  • Time-independent pertubation theory
  • The density matrix and polarization phenomena
  • Quantum theory: the general formalism
  • The coulomb interaction
  • Quantum mechanical tunneling
  • Linear potentials
  • Classical limit and WKB method
  • Power potentials
  • Screened coulomb potentials
  • Periodic potentials
  • Anharmonic oscillator potentials
  • Singular potentials
  • Large order behavior of perturbation expansions
  • The path integral formalism
  • Classical field configurations
  • Path integrals and instantons
  • Path integrals and bounces on a line
  • Periodic classical configurations
  • Path integrals and periodic classic configurations
  • Quantization of systems with constraints
  • The quantum-classical crossover as phase transition

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