STOCHASTIC PROPERTIES OF DEGENERATED QUANTUM SYSTEMS

DOI10.1142/S0219025710003948zbMath1191.35221MaRDI QIDQ3560051

V. Zh. Sakbaev

Publication date: 19 May 2010

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

zbMATH Keywords

semigroupfinitely additive measureopen quantum system

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Applications of operator theory in the physical sciences (47N50) PDEs in connection with quantum mechanics (35Q40) Quantum stochastic calculus (81S25)

Related Items (11)

Cauchy problem for degenerating linear differential equations and averaging of approximating regularizations ⋮ Feynman averaging of semigroups generated by Schrödinger operators ⋮ On analogs of spectral decomposition of a quantum state ⋮ Diffusion and quantum dynamics on graphs ⋮ On the properties of ambiguity and irreversibility of dynamical maps of the initial data space of Cauchy problem ⋮ The set of quantum states and its averaged dynamic transformations ⋮ Gradient blow-up of solutions to the Cauchy problem for the Schrödinger equation ⋮ On the variational description of the trajectories of averaging quantum dynamical maps ⋮ Diffusion and quantum dynamics of particles with position-dependent mass ⋮ On dynamical properties of a one-parameter family of transformations arising in averaging of semigroups ⋮ Phase flows generated by Cauchy problem for nonlinear Schrödinger equation and dynamical mappings of quantum states

Cites Work

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• Self-adjoint Hamiltonians with a mass jump: general matching conditions
• Collapse postulate for observables with continuous spectra
• Nonuniqueness for Second-Order Elliptic Equations with Measurable Coefficients
• Entanglement-Assisted Capacities of Constrained Quantum Channels
• On the limits of sequences of normal states

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