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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
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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
2008-09-01 16:26:20
date last changed
2017-01-01 07:21:18
@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},
  keyword      = {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},
  volume       = {30},
  year         = {1997},
}