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Point interactions: PT-Hermiticity and reality of the spectrum

Albeverio, S ; Fei, SM and Kurasov, Pavel LU (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:
author
; and
organization
publishing date
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}},
}