Algebraic aspects of the dynamics of quantum multilevel systems in the projection operator technique

DOI10.1134/S0040577918020034zbMath1401.81083OpenAlexW2894047847WikidataQ129187604 ScholiaQ129187604MaRDI QIDQ1794607

A. V. Soldatov, Nikolai N. jun. Bogoliubov

Publication date: 15 October 2018

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577918020034

zbMATH Keywords

master equationprojection operatoropen systemmultilevel quantum systemabbreviated descriptionexpansion in terms of a system of orthogonal polynomialsoperation algebraunitary group generator

Mathematics Subject Classification ID

Unified quantum theories (81V22) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Cites Work

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• Generalized Trotter's formula and systematic approximants of exponential operators and inner derivations with applications to many-body problems
• Mathematical methods of quantum optics
• The time-convolutionless projection operator technique in the quantum theory of dissipation and decoherence.

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