Improved analytical approximation to arbitrary l-state solutions of the Schrödinger equation for the hyperbolical potential

DOI10.1002/ANDP.200810349zbMath1163.81303OpenAlexW2056226948MaRDI QIDQ3629587

Publication date: 2 June 2009

Published in: Annalen der Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/andp.200810349

zbMATH Keywords

approximation schemes hypergeometric method exponential-type potentials energy eigenvalues and eigenfunctions

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (7)

Relativistic energies and scattering phase shifts for the fermionic particles scattered by hyperbolical potential with the pseudo(spin) symmetry ⋮ Generalised tanh-shaped hyperbolic potential: Klein–Gordon equation's bound state solution ⋮ Non-relativistic Eigen spectra withq-deformed physical potentials by using the SUSY approach ⋮ Energy spectrum of the Manning-Rosen potential including centrifugal term solved by exact and proper quantization rules ⋮ The Laguerre pseudospectral method for the radial Schrödinger equation ⋮ Bound state solutions of three-dimensional Klein-Gordon equation for two model potentials by NU method ⋮ STUDY OF NUCLEAR BOUND STATES USING MEAN-FIELD WOODS–SAXON AND SPIN-ORBIT POTENTIALS

Cites Work

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