PATH-INTEGRAL SOLUTIONS FOR A CLASS OF 2D SYSTEMS WITH LOCAL DEGENERACIES

Authors
BENTAIBA M BENKADDOUR M CHETOUANI L HAMMANN TF
Citation
M. Bentaiba et al., PATH-INTEGRAL SOLUTIONS FOR A CLASS OF 2D SYSTEMS WITH LOCAL DEGENERACIES, Journal de physique. I, 4(1), 1994, pp. 7-27
Citations number
8
Categorie Soggetti
Physics
Journal title
Journal de physique. I → ACNP
ISSN journal
11554304
Volume
4
Issue
1
Year of publication
1994
Pages
7 - 27
Database
ISI
SICI code
1155-4304(1994)4:1<7:PSFACO>2.0.ZU;2-L
Abstract
The potential V(r) = alphar2d-2 - betar(d-2) is studied via the path i ntegral approach. The Green function is calculated for E = 0 and for a ny value of d in polar coordinates as well as in coordinates generaliz ing the Levi-Civita transformation. It is shown that this Green functi on is the sum of a discrete but finite part and of a continuous part. Limiting cases will be investigated.