On the Coulomb potential in dimension one
(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:
https://lup.lub.lu.se/record/758073
- author
- Kurasov, Pavel LU
- organization
- publishing date
- 1996
- 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
- 2022-03-06 23:31:03
@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}},
}