Kinetic Equations for Quantum Many-Particle Systems

Abstract

The current status of the derivation of kinetic equations from quantum many-particle dynamics is reviewed.

for: Modern Encyclopedia of Mathematical Physics, Springer Selecta, 12 pages

References in corpus (3)

• On the quantum Boltzmann equation
• Some Considerations on the derivation of the nonlinear Quantum Boltzmann Equation
• Linear Boltzmann equation as the long time dynamics of an electron weakly coupled to a phonon field

Cited by in corpus (9)

• Quantum linear Boltzmann equation
• Inelastic Multiple Scattering of Interacting Bosons in Weak Random Potentials
• Towards Rigorous Derivation of Quantum Kinetic Equations
• The von Neumann Hierarchy for Correlation Operators of Quantum Many-Particle Systems
• Quantum Kinetic Equations of Many-Particle Systems in Condensed States
• Kinetic description of thermalization dynamics in weakly interacting quantum systems
• Very slow heating for weakly driven quantum many-body systems
• On the Boltzmann Equation for Weakly Nonlinear Wave Equations
• Quantum Kinetic Equations and Evolution of Many-Particle Systems