ALGEBRAIC PERTURBATION-THEORY FOR SINGULAR POTENTIALS

Citation
Ao. Barut et al., ALGEBRAIC PERTURBATION-THEORY FOR SINGULAR POTENTIALS, Physics letters. A, 194(1-2), 1994, pp. 1-6
Citations number
4
Categorie Soggetti
Physics
Journal title
ISSN journal
03759601
Volume
194
Issue
1-2
Year of publication
1994
Pages
1 - 6
Database
ISI
SICI code
0375-9601(1994)194:1-2<1:APFSP>2.0.ZU;2-3
Abstract
A purely algebraic theory based on dynamical groups is developed. It a llows one to determine the energy shifts without taking any matrix ele ments. In particular potentials of the form 1/r(N) and r(N) are treate d explicitly, some examples which cannot be calculated by the usual pe rturbation theory are discussed.