Scattering by a contact potential in three and lower dimensions

Authors
Citation
Qg. Lin, Scattering by a contact potential in three and lower dimensions, J PHYS A, 34(9), 2001, pp. 1911-1918
Citations number
7
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
0305-4470 → ACNP
Volume
34
Issue
9
Year of publication
2001
Pages
1911 - 1918
Database
ISI
SICI code
0305-4470(20010309)34:9<1911:SBACPI>2.0.ZU;2-S
Abstract
We consider the scattering of nonrelativistic particles in three dimensions by a contact potential Omegah(2)delta (r)/2 mur(alpha), which is defined a s the a --> 0 limit of Omegah(2)delta (r - a)/2 mur(alpha). It is surprisin g that it gives a nonvanishing cross section when alpha = 1 and Omega = -1. When the contact potential is approached by a spherical square well potent ial instead of the above spherical shell one, one obtains basically the sam e result except that the parameter Omega that gives a nonvanishing cross se ction is different. Similar problems in two and one dimensions are studied and results of the same nature are obtained.