On the stochastic limit for quantum theory

DOI10.1016/0034-4877(96)83618-4zbMath0887.60094arXiv1212.6679OpenAlexW3102060682MaRDI QIDQ1372467

Luigi Accardi, Yun Gang Lu, John E. Gough

Publication date: 23 April 1998

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.6679

zbMATH Keywords

Langevin equationsSchrödinger evolutiondipole approximationselectrodynamic fieldquantum noise processesquantum system with discrete energy spectrum

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Quantum stochastic calculus (81S25)

Related Items (12)

Singular perturbation of quantum stochastic differential equations with coupling through an oscillator mode ⋮ THE OPEN XY MODEL ⋮ Non-Markovian quantum feedback networks I: Quantum transmission lines, lossless bounded real property and limit Markovian channels ⋮ Classical and quantum stochastic models of resistive and memristive circuits ⋮ The interacting-free quantum stochastic limit of quantum field theory ⋮ Asymptotic stochastic transformations for nonlinear quantum dynamical systems. ⋮ Extended weak coupling limit for Pauli-Fierz operators ⋮ OPEN QUANTUM DYNAMICS: COMPLETE POSITIVITY AND ENTANGLEMENT ⋮ Bosonic and fermionic white noises and the reflection process ⋮ Causal structure of quantum stochastic integrators ⋮ The Free Stochastic Limit of Interacting Quantum Fields ⋮ Before thy throne I slip in gently, hoping nobody will notice: A memorial to Robin Hudson (1940–2021)

Cites Work

• The weak coupling limit as a quantum functional central limit
• Markovian master equations
• Unbounded Local Observables in Quantum Statistical Mechanics
• NOISE AND DISSIPATION IN QUANTUM THEORY
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