Brownian motion of quantum harmonic oscillators: Existence of a subdynamics

DOI10.1063/1.532419zbMath1001.82064OpenAlexW1982495022MaRDI QIDQ4260510

Goeran Lindblad

Publication date: 16 December 2002

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

Full work available at URL: https://semanticscholar.org/paper/84c277d6d586d62648616f63bb5344aa97d22f1d

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Applications of selfadjoint operator algebras to physics (46L60) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

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Cites Work

• Non-Markovian quantum stochastic processes and their entropy
• Completely positive quasi-free maps of the CCR-algebra
• Conditional expectations in von Neumann algebras and a theorem of Takesaki
• On the generators of quantum dynamical semigroups
• Brownian motion of a quantum harmonic oscillator
• Completely positive maps on the CCR-algebra
• Master equation for an oscillator coupled to the electromagnetic field
• The smallest C\(^*\)-algebra for canonical commutation relations
• Some operator inequalities of the Schwarz type
• Conditional expectations in von Neumann algebras
• Gaussian quantum stochastic processes on the CCR algebra
• Low temperature equilibrium correlation functions in dissipative quantum systems
• On the existence of quantum subdynamics
• Reduced Dynamics Need Not Be Completely Positive
• There is No Quantum Regression Theorem
• Determinism and randomness in quantum dynamics
• Quantum stochastic processes

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