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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
2016-04-01 15:25:25
date last changed
2025-10-14 09:46:05
@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}},
  doi          = {{10.1088/0305-4470/29/8/023}},
  volume       = {{29}},
  year         = {{1996}},
}