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On the Coulomb potential in dimension one

Kurasov, Pavel LU (1996) In Journal of Physics A: Mathematical and General 29(8). p.1767-1771
Abstract
a mathematically rigorous definition of the one-dimensional Schrodinger operator -d(2)/dx(2)-gamma/x is given, It is proven that the domain of the operator is defined by the boundary conditions connecting the values of the function on the left and right half-axes. The investigated operator is compared with the Schrodinger operator containing the Coulomb potential -gamma/x.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Physics A: Mathematical and General
volume
29
issue
8
pages
1767 - 1771
publisher
IOP Publishing
external identifiers
  • scopus:0141488370
ISSN
0305-4470
DOI
10.1088/0305-4470/29/8/023
language
English
LU publication?
yes
id
5765ff08-baec-4690-8048-d3ee26a24691 (old id 758073)
alternative location
http://www.iop.org/EJ/article/0305-4470/29/8/023/a60818.pdf?request-id=b9637517-3601-4d26-aae3-f1f017d3959e
date added to LUP
2008-09-01 16:16:32
date last changed
2017-01-01 06:39:24
@article{5765ff08-baec-4690-8048-d3ee26a24691,
  abstract     = {a mathematically rigorous definition of the one-dimensional Schrodinger operator -d(2)/dx(2)-gamma/x is given, It is proven that the domain of the operator is defined by the boundary conditions connecting the values of the function on the left and right half-axes. The investigated operator is compared with the Schrodinger operator containing the Coulomb potential -gamma/x.},
  author       = {Kurasov, Pavel},
  issn         = {0305-4470},
  language     = {eng},
  number       = {8},
  pages        = {1767--1771},
  publisher    = {IOP Publishing},
  series       = {Journal of Physics A: Mathematical and General},
  title        = {On the Coulomb potential in dimension one},
  url          = {http://dx.doi.org/10.1088/0305-4470/29/8/023},
  volume       = {29},
  year         = {1996},
}