Passage from quantum systems with continuous spectrum to quantum Poisson processes on Hilbert modules

DOI10.1063/1.531297zbMath0849.46055OpenAlexW2064835069MaRDI QIDQ4837341

Yun Gang Lu

Publication date: 3 July 1995

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531297

zbMATH Keywords

stochastic differential equationequilibriumevolution operatorcreation and annihilation operatorsquantum Poisson processinverse temperatureHilbert module with operator valued inner productquantum reservoir

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Quantum equilibrium statistical mechanics (general) (82B10) Applications of functional analysis in quantum physics (46N50) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items

Module white noise calculus ⋮ Free probability and quantum electrodynamics

Cites Work

• The weak coupling limit as a quantum functional central limit
• The number process as low density limit of Hamiltonian models
• Markovian master equations
• Markovian master equations. II
• The low density limit for an N-level system interacting with a free Bose or Fermi gas
• Induced representations of C\(^*\)-algebras
• The low-density limit of quantum systems
• The low density limit in finite temperature case
• The weak coupling limit for quadratic interaction
• The low-density limit in terms of collective squeezed vectors
• NOISE AND DISSIPATION IN QUANTUM THEORY