Solutions of the two-level problem in terms of biconfluent Heun functions

DOI10.1088/0305-4470/34/32/309zbMath0990.81020OpenAlexW1965113668WikidataQ62039834 ScholiaQ62039834MaRDI QIDQ2766162

A. M. Ishkhanyan, K.-A. Suominen

Publication date: 27 January 2002

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

Full work available at URL: https://doi.org/10.1088/0305-4470/34/32/309

zbMATH Keywords

hypergeometric functionbiconfluent Heun equationclasses of Landau-Zenger, Nikitin and Crotherssuper- and sublinear and essentially nonlinear level crossingsthree crossing pointstwo level model

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Applications of hypergeometric functions (33C90)

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Four five-parametric and five four-parametric independent confluent Heun potentials for the stationary Klein-Gordon equation ⋮ Expansions of the solutions of the confluent Heun equation in terms of the incomplete Beta and the Appell generalized hypergeometric functions

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