Simple wavefunctions for Yukawa- and Hulthen-type potentials

Authors
Citation
Sh. Patil, Simple wavefunctions for Yukawa- and Hulthen-type potentials, J PHYS A, 34(14), 2001, pp. 3153-3167
Citations number
30
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
34
Issue
14
Year of publication
2001
Pages
3153 - 3167
Database
ISI
SICI code
0305-4470(20010413)34:14<3153:SWFYAH>2.0.ZU;2-Q
Abstract
Based on the general properties of the Yukawa and Hulthen potentials, that they have Coulombic behaviour for small r and are exponentially damped for large r, we have deduced the threshold and asymptotic properties of their e nergy eigenfunctions, We have then developed simple wavefunctions incorpora ting these properties for the lowest and the first excited states for all I values, which give quite accurate energies for a wide range of the screeni ng parameters and which give a clear, physical insight into their structure . The quality of these wavefunctions is analysed in terms of a virial relat ion, a threshold relation and a local energy test.