The set of quantum states and its averaged dynamic transformations

DOI10.3103/S1066369X11100069zbMath1229.81078OpenAlexW2061823502MaRDI QIDQ647910

V. Zh. Sakbaev

Publication date: 21 November 2011

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x11100069

zbMATH Keywords

finitely additive measurequantum statedynamic semigroup

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Vector-valued measures and integration (46G10) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (7)

Cauchy problem for degenerating linear differential equations and averaging of approximating regularizations ⋮ On analogs of spectral decomposition of a quantum state ⋮ Linear and nonlinear liftings of states of quantum systems ⋮ On the variational description of the trajectories of averaging quantum dynamical maps ⋮ Phase flows generated by Cauchy problem for nonlinear Schrödinger equation and dynamical mappings of quantum states ⋮ On quantum dynamics on \(C^\ast\)-algebras ⋮ Geometric properties of systems of vector states and expansion of states in Pettis integrals

Cites Work

• Spectral aspects of regularization of the Cauchy problem for a degenerate equation
• Collapse postulate for observables with continuous spectra
• Averaging of quantum dynamical semigroups
• Dixmier traces and some applications in non-commutative geometry
• STOCHASTIC PROPERTIES OF DEGENERATED QUANTUM SYSTEMS
• Finitely Additive Measures
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