On Radial Schrödinger Equations in Curved Spaces and Their Spectra Through Nonlinear Constraints

DOI

10.2991/jnmp.1997.4.3-4.15How to use a DOI?

Abstract

First, we determine the radial Schrödinger equation in D-dimensional curved spaces when central problems are considered. Second, we develop the so-called factorization method on the basis of supersymmetric arguments for solving such radial equations when D = 1, 2, 3-harmonic oscillator and D = 3-hydrogen atom physical interactions are studied in such spherical geometries. Comparisons with conventional methods are pointed out as well as with the corresponding results in flat spaces.

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

TY  - JOUR
AU  - J. Beckers
AU  - N. Debergh
PY  - 1997
DA  - 1997/09/01
TI  - On Radial Schrödinger Equations in Curved Spaces and Their Spectra Through Nonlinear Constraints
JO  - Journal of Nonlinear Mathematical Physics
SP  - 401
EP  - 408
VL  - 4
IS  - 3-4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1997.4.3-4.15
DO  - 10.2991/jnmp.1997.4.3-4.15
ID  - Beckers1997
ER  -