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Response to "Comment on 'On the Coulomb potential in one dimension' " by W.Fisher, H.Leschke and P.Muller

Kurasov, Pavel LU (1997) In Journal of Physics A: Mathematical and General 30(15). p.5583-5589
Abstract
The differential operator -(d2/dx2)-(y/x), γ∈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 -(d2/dx2)-(y/x)+αδ(x) are studied
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
electric potential, potential energy functions, quantum theory, 1D Coulomb potential, distribution theory, unique self-adjoint operator, differential expression, principle-value, point interactions, singular operator
in
Journal of Physics A: Mathematical and General
volume
30
issue
15
pages
5583 - 5589
publisher
IOP Publishing
external identifiers
  • scopus:0040151330
ISSN
0305-4470
DOI
10.1088/0305-4470/30/15/038
language
English
LU publication?
yes
id
326afe3a-4f73-4bef-9872-5862ac328269 (old id 758088)
date added to LUP
2016-04-01 17:00:01
date last changed
2022-01-28 23:39:20
@article{326afe3a-4f73-4bef-9872-5862ac328269,
  abstract     = {{The differential operator -(d2/dx2)-(y/x), γ∈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 -(d2/dx2)-(y/x)+αδ(x) are studied}},
  author       = {{Kurasov, Pavel}},
  issn         = {{0305-4470}},
  keywords     = {{electric potential; potential energy functions; quantum theory; 1D Coulomb potential; distribution theory; unique self-adjoint operator; differential expression; principle-value; point interactions; singular operator}},
  language     = {{eng}},
  number       = {{15}},
  pages        = {{5583--5589}},
  publisher    = {{IOP Publishing}},
  series       = {{Journal of Physics A: Mathematical and General}},
  title        = {{Response to "Comment on 'On the Coulomb potential in one dimension' " by W.Fisher, H.Leschke and P.Muller}},
  url          = {{http://dx.doi.org/10.1088/0305-4470/30/15/038}},
  doi          = {{10.1088/0305-4470/30/15/038}},
  volume       = {{30}},
  year         = {{1997}},
}