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Point interactions: PT-Hermiticity and reality of the spectrum
- Albeverio, S (author)
- Fei, SM (author)
-
- Kurasov, Pavel (author)
- Lund University,Lunds universitet,Matematik LTH,Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Engineering),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
- (creator_code:org_t)
- 2002
- 2002
- English.
- In: Letters in Mathematical Physics. - 0377-9017. ; 59:3, s. 227-242
- Journal article (peer-reviewed)
Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- point interactions
- PT-symmetric quantum mechanics
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- art (subject category)
- ref (subject category)
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