The Maslov index for composite power-law potentials: the case of the first Exton potential
DOI10.1016/J.AOP.2023.169554MaRDI QIDQ6143401
V. P. Krainov, A. M. Ishkhanyan
Publication date: 5 January 2024
Published in: Annals of Physics (Search for Journal in Brave)
energy spectrumSchrödinger equationbound statesMaslov indexcomposite power-law potentialfirst Exton potentialnon-Integer index Hermite function
Symmetric functions and generalizations (05E05) Other elementary particle theory in quantum theory (81V25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Spectrum, resolvent (47A10) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Atomic physics (81V45) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Stochastic quantization (81S20)
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