The stochastic Wigner–Weisskopf atom

DOI10.1063/1.527448zbMath0628.46075OpenAlexW1997792695MaRDI QIDQ3764730

David Applebaum

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527448

zbMATH Keywords

second quantizationquantum stochastic calculusGibbs statequantum detailed balance conditionWigner-Weisskopf approximationdilation schemeevolution of a two-level atom

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Stochastic analysis (60H99) Miscellaneous applications of functional analysis (46N99)

Cites Work

• Stochastic dilations of uniformly continuous completely positive semigroups
• Markov dilations and quantum detailed balance
• A non-commutative martingale representation theorem for non-Fock quantum Brownian motion
• Covariant Markov dilations of quantum dynamical semigroups
• Markov dilations on \(W^ *\)-algebras
• The essentially commutative dilations of dynamical semigroups on \(M_ n\)
• Markovian master equations
• On the generators of quantum dynamical semigroups
• Quantum detailed balance and KMS condition
• Quantum mechanical Wiener processes
• Stochastic dilations of the Bloch equations in boson and fermion noise