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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/34967
Title: 
Generalized point interactions in one-dimensional quantum mechanics
Author(s): 
Institution: 
  • Universidade Estadual Paulista (UNESP)
  • MCMASTER UNIV
ISSN: 
0305-4470
Abstract: 
There is a four-parameter family of point interactions in one-dimensional quantum mechanics. They represent all possible self-adjoint extensions of the kinetic energy operator. If time-reversal invariance is imposed, the number of parameters is reduced to three. One of these point interactions is the familiar delta function potential but the other generalized ones do not seem to be widely known. We present a pedestrian approach to this subject and comment on a recent controversy in the literature concerning the so-called delta' interaction. We emphasize that there is little resemblance between the delta' interaction and what its name suggests.
Issue Date: 
7-Jun-1997
Citation: 
Journal of Physics A-mathematical and General. Bristol: Iop Publishing Ltd, v. 30, n. 11, p. 3937-3945, 1997.
Time Duration: 
3937-3945
Publisher: 
Iop Publishing Ltd
Source: 
http://dx.doi.org/10.1088/0305-4470/30/11/021
URI: 
Access Rights: 
Acesso restrito
Type: 
outro
Source:
http://repositorio.unesp.br/handle/11449/34967
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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