Driven three-state model and its analytic solutions

DOI10.1063/1.528041zbMath0709.34023OpenAlexW1992559177MaRDI QIDQ3491946

F. T. Hioe, C. E. Carroll

Publication date: 1988

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528041

zbMATH Keywords

Schrödinger equationanalytic solutionsClausen's special functiondriven three-state model

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Related Items (1)

Coherent population transfer in multi-level Allen-Eberly models

Cites Work

• Asymptotic Formulas for Zero-Balanced Hypergeometric Series
• Double Stern-Gerlach Experiment and Related Collision Phenomena
• A new class of analytic solutions of the two-state problem
• Space Quantization in a Gyrating Magnetic Field
• The contiguous function relations for _{𝑝}𝐹_{𝑞} with application to Batemean’s 𝐽_{𝑛}^{𝑢,𝜈} and Rice’s 𝐻_{𝑛}(𝜁,𝑝,𝜈)

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