Response to "Comment on 'On the Coulomb potential in one dimension' " by W.Fisher, H.Leschke and P.Muller
(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:
https://lup.lub.lu.se/record/758088
- author
- Kurasov, Pavel LU
- organization
- publishing date
- 1997
- 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}}, }