Point interactions: PT-Hermiticity and reality of the spectrum
(2002) In Letters in Mathematical Physics 59(3). p.227-242- Abstract
- General point interactions for the second derivative operator in one dimension are studied. In particular, cal PT-self-adjoint point interactions with the support at the origin and at points +/-l are considered. The spectrum of such non-Hermitian operators is investigated and conditions when the spectrum is pure real are presented. The results are compared with those for standard self-adjoint point interactions.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/337120
- author
- Albeverio, S ; Fei, SM and Kurasov, Pavel LU
- organization
- publishing date
- 2002
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- point interactions, PT-symmetric quantum mechanics
- in
- Letters in Mathematical Physics
- volume
- 59
- issue
- 3
- pages
- 227 - 242
- publisher
- Springer
- external identifiers
-
- wos:000175750200004
- scopus:0012878839
- ISSN
- 0377-9017
- DOI
- 10.1023/A:1015559117837
- language
- English
- LU publication?
- yes
- id
- ad3b06b4-146d-45e6-a072-5bdeee60ad33 (old id 337120)
- date added to LUP
- 2016-04-01 15:40:37
- date last changed
- 2022-01-28 06:32:59
@article{ad3b06b4-146d-45e6-a072-5bdeee60ad33, abstract = {{General point interactions for the second derivative operator in one dimension are studied. In particular, cal PT-self-adjoint point interactions with the support at the origin and at points +/-l are considered. The spectrum of such non-Hermitian operators is investigated and conditions when the spectrum is pure real are presented. The results are compared with those for standard self-adjoint point interactions.}}, author = {{Albeverio, S and Fei, SM and Kurasov, Pavel}}, issn = {{0377-9017}}, keywords = {{point interactions; PT-symmetric quantum mechanics}}, language = {{eng}}, number = {{3}}, pages = {{227--242}}, publisher = {{Springer}}, series = {{Letters in Mathematical Physics}}, title = {{Point interactions: PT-Hermiticity and reality of the spectrum}}, url = {{http://dx.doi.org/10.1023/A:1015559117837}}, doi = {{10.1023/A:1015559117837}}, volume = {{59}}, year = {{2002}}, }