Journal
LETTERS IN MATHEMATICAL PHYSICS
Volume 59, Issue 3, Pages 227-242Publisher
KLUWER ACADEMIC PUBL
DOI: 10.1023/A:1015559117837
Keywords
point interactions; PT-symmetric quantum mechanics
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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.
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