On the variational description of the trajectories of averaging quantum dynamical maps

DOI10.1134/S2070046612020045zbMath1251.81060MaRDI QIDQ1760316

V. Zh. Sakbaev

Publication date: 13 November 2012

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

zbMATH Keywords

stochastic processfinitely additive measurequantum statedynamical semigroup

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Quantum stochastic calculus (81S25)

Related Items (5)

Self-adjoint approximations of the degenerate Schrödinger operator ⋮ Feynman averaging of semigroups generated by Schrödinger operators ⋮ Blow-up of states in the dynamics given by the Schrödinger equation with a power-law nonlinearity in the potential ⋮ On the properties of ambiguity and irreversibility of dynamical maps of the initial data space of Cauchy problem ⋮ Gradient blow-up of solutions to the Cauchy problem for the Schrödinger equation

Cites Work

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• The set of quantum states and its averaged dynamic transformations
• Spectral aspects of regularization of the Cauchy problem for a degenerate equation
• Collapse postulate for observables with continuous spectra
• Averaging of quantum dynamical semigroups
• STOCHASTIC PROPERTIES OF DEGENERATED QUANTUM SYSTEMS
• Entanglement-Assisted Capacities of Constrained Quantum Channels

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