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| related topics |
| {operator, operators, space} |
| {equation, function, exp} |
| {let, theorem, proof} |
| {cos, sin, state} |
| {energy, state, states} |
| {phase, path, phys} |
|
Point Interactions: PT-Hermiticity and Reality of the Spectrum
S. Albeverio, S. M. Fei, P. Kurasov
abstract: General point interactions for the second derivative operator in one
dimension are studied. In particular, ${\mathcal P \mathcal T}$-self-adjoint
point interactions with the support at the origin and at points $\pm l$ 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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0206112
- categories:
- quant-ph
- comments:
- 17 pages
- arxiv_id:
- quant-ph/0206112
- journal_ref:
- Lett. Math. Phys. 59, 2002(227-242)
- created:
- 2002-06-18
Full article ▸
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