Exact analytical solution for coupled time-independent Schrödinger equations with certain model potentials

DOI10.1088/0305-4470/29/6/015zbMath0916.34073OpenAlexW1974953758MaRDI QIDQ4229733

Chaoyuan Zhu

Publication date: 12 July 1999

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

Full work available at URL: https://doi.org/10.1088/0305-4470/29/6/015

zbMATH Keywords

model potentialscoupled time-independent Schrödinger equationsnonadiabatic transition matricesscattering boundary conditions

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) General spectral theory of ordinary differential operators (34L05) (2)-body potential quantum scattering theory (81U05) Applications of hypergeometric functions (33C90)

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