Effective-mass Dirac equation for Woods-Saxon potential: Scattering, bound states, and resonances

DOI10.1063/1.4705284zbMath1275.81024arXiv1204.6562OpenAlexW3102627575MaRDI QIDQ2860726

Ramazan Sever, Altuğ Arda, Oktay Aydogdu

Publication date: 20 November 2013

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

Full work available at URL: https://arxiv.org/abs/1204.6562

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) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) (2)-body potential quantum scattering theory (81U05) Classical hypergeometric functions, ({}_2F_1) (33C05) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items (9)

Scattering state of Klein-Gordon particles by \(q\)-parameter hyperbolic Poschl-Teller potential ⋮ Exact solution and coherent states of an asymmetric oscillator with position-dependent mass ⋮ Bound states of the Dirac equation for the generalized Woods–Saxon potential in pseudospin and spin symmetry limits ⋮ κ-Deformed quantum and classical mechanics for a system with position-dependent effective mass ⋮ Massive Dirac equation in asymmetric Hulthén potential ⋮ Scattering, bound, and quasi-bound states of the generalized symmetric Woods-Saxon potential ⋮ Spectral parameter power series representation for solutions of linear system of two first order differential equations ⋮ Analytical solution of the Schrödinger equation with spatially varying effective mass for generalised Hylleraas potential ⋮ Dirac particle for the position dependent mass in the generalized asymmetric Woods-Saxon potential

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