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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
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
2007-08-06 14:26:02
date last changed
2017-04-09 04:13:58
@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},
  keyword      = {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},
  volume       = {59},
  year         = {2002},
}