Application of ATS in a Quantum-optical Model

DOI10.1007/978-3-7643-9906-1_13zbMath1297.81193OpenAlexW148614504WikidataQ100935421 ScholiaQ100935421MaRDI QIDQ2924930

Anatolii A. Karatsuba, Ekatharine A. Karatsuba

Publication date: 20 October 2014

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

Full work available at URL: https://doi.org/10.1007/978-3-7643-9906-1_13

zbMATH Keywords

approximationJaynes-Cummings modelcoherent stateatomic inversiontrigonometric sumsfunctional equation for the Jacobi Thetafunctionstheorem on the approximation of a trigonometric sum by a shorter one (ATS)

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Estimates on exponential sums (11L07) Theoretical approximation of solutions to ordinary differential equations (34A45) Forced motions for nonlinear problems in mechanics (70K40) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Quantum optics (81V80) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40)

Related Items (5)

Equivalence of a compressible inviscid flow and the Bloch vector under the thermal Jaynes-Cummings model ⋮ On Anatolii Alekseevich Karatsuba's works written in the 1990s and 2000s ⋮ Application of the Jacobi functional equation and the ATS theorem in a quantum optical model ⋮ Physical mathematics in number theory ⋮ Scientific achievements of Anatolii Alekseevich Karatsuba

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