THE JACOBI EIGENFUNCTIONS AND THE QUANTUM-MECHANICAL HYPERVIRIAL THEOREMS METHOD FOR BOUND-STATE PROBLEMS

Authors
LIOLIOS TE GRYPEOS ME
Citation
Te. Liolios et Me. Grypeos, THE JACOBI EIGENFUNCTIONS AND THE QUANTUM-MECHANICAL HYPERVIRIAL THEOREMS METHOD FOR BOUND-STATE PROBLEMS, Journal of physics. A, mathematical and general, 30(10), 1997, pp. 325-330
Citations number
27
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
30
Issue
10
Year of publication
1997
Pages
325 - 330
Database
ISI
SICI code
0305-4470(1997)30:10<325:TJEATQ>2.0.ZU;2-R
Abstract
The Jacobi eigenfunctions are suitably adjusted by means of the hyperv irial theorems (HVT) scheme in order to obtain, in many cases, a very satisfactory analytic approximation of the s-state eigenfunctions of t he radial Gaussian potential. The results obtained show that the HVT s cheme is a powerful method for obtaining (analytically) not only appro ximate eigenvalues but also the corresponding eigenfunctions.