Application of the Jacobi functional equation and the ATS theorem in a quantum optical model

DOI10.1134/S0965542517110070zbMath1383.81372OpenAlexW2770011524WikidataQ100935627 ScholiaQ100935627MaRDI QIDQ1702649

Ekatharine A. Karatsuba

Publication date: 28 February 2018

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

Full work available at URL: https://doi.org/10.1134/s0965542517110070

zbMATH Keywords

approximationquantum opticsatomic inversiontwo-level atomATS theoremfunctional equation for Jacobi theta functionsJCP model

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum optics (81V80) Theta functions and curves; Schottky problem (14H42)

Cites Work

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• A resummation formula for collapse and revival in the Jaynes–Cummings model
• Quantum optical implementation of Grover's algorithm
• A theorem on the approximation of a trigonometric sum by a shorter one

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