An eigenfunction expansion for the Schrödinger equation with arbitrary non-central potentials

DOI10.1023/A:1022949421571zbMath1027.81007OpenAlexW122499870MaRDI QIDQ1397312

İnci M. Erhan, Ömür Uğur, Hasan Taşeli

Publication date: 27 July 2003

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

Full work available at URL: https://doi.org/10.1023/a:1022949421571

zbMATH Keywords

eigenvalue problemseigenfunction expansionnon-central potentialtwo-dimensional Schrödinger equationcomplete set of Chebyshev polynomialscylindrical polar coordinates

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10)

Related Items (6)

Smeared Coulomb potential orbitals. I: Asymptotic expansion ⋮ Novel bound states treatment of the two dimensional Schrödinger equation with pseudocentral potentials plus multiparameter noncentral potential ⋮ The Sturm-Liouville operator on the space of functions with discontinuity conditions ⋮ The Hermite pseudospectral method for the two-dimensional Schrödinger equation with nonseparable potentials ⋮ A model for the computation of quantum billiards with arbitrary shapes ⋮ Application of binomial coefficients in representing central difference solution to a class of PDE arising in chemistry

This page was built for publication: An eigenfunction expansion for the Schrödinger equation with arbitrary non-central potentials