Nonequilibrium Quantum Statistics

The following sections are included:

• Linear Response and Time-Dependent Green Functions for T ≠ 0

• Spectral Representations of Green Functions for T ≠ 0

• Other Important Green Functions

• Hermitian Adjoint Operators

• Harmonic Oscillator Green Functions for T ≠ 0

  • Creation Annihilation Operators

  • Real Field Operators

• Nonequilibrium Green Functions

• Perturbation Theory for Nonequilibrium Green Functions

• Path Integral Coupled to Thermal Reservoir

• Fokker-Planck Equation

  • Canonical Path Integral for Probability Distribution

  • Solving the Operator Ordering Problem

  • Strong Damping

• Langevin Equations

• Stochastic Quantization

• Stochastic Calculus

• Supersymmetry

• Stochastic Quantum Liouville Equation

• Master Equation for Time Evolution

• Relation to Quantum Langevin Equation

• Electromagnetic Dissipation and Decoherence

  • Forward–Backward Path Integral

  • Master Equation for Time Evolution in Photon Bath

  • Line Width

  • Lamb shift

  • Langevin Equations

• Fokker-Planck Equation in Spaces with Curvature and Torsion

• Stochastic Interpretation of Quantum-Mechanical Amplitudes

• Stochastic Equation for Schrödinger Wave Function

• Real Stochastic and Deterministic Equation for Schrödinger Wave Function

  • Stochastic Differential Equation

  • Equation for Noise Average

  • Harmonic Oscillator

  • General Potential

  • Deterministic Equation

• Heisenberg Picture for Probability Evolution

• Appendix 18A Inequalities for Diagonal Green Functions

• Appendix 18B General Generating Functional

• Appendix 18C Wick Decomposition of Operator Products

• Notes and References