ON THE COULOMB POTENTIAL IN ONE-DIMENSION - RESPONSE

Authors
KURASOV P
Citation
P. Kurasov, ON THE COULOMB POTENTIAL IN ONE-DIMENSION - RESPONSE, Journal of physics. A, mathematical and general, 30(15), 1997, pp. 5583-5589
Citations number
16
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
30
Issue
15
Year of publication
1997
Pages
5583 - 5589
Database
ISI
SICI code
0305-4470(1997)30:15<5583:OTCPIO>2.0.ZU;2-S
Abstract
The differential operator -(d(2)/dx(2)) - (gamma/x), gamma is an eleme nt of R, in one dimension is studied using distribution theory. It is proven that there exists a unique self-adjoint operator corresponding to the differential expression understood in the principle-value sense . Point interactions determined by the singular operator -(d(2)/dx(2)) - (gamma/x)+alpha delta(x) are studied.