Reality and non-reality of the spectrum of -symmetric operators: Operator-theoretic criteria

We generalize some recently established criteria for the reality and non-reality of the spectrum of some classes of -symmetric Schrödinger operators. The criteria include cases of discrete spectra and continuous ones.

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Bibliographic Details
Published in:Pramāṇa 2009, Vol.73 (2)
Main Authors: Caliceti, E., Graffi, S.
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Astroparticles
Observations and Techniques
Physics
Physics and Astronomy
Online Access:Get full text
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Description
Summary:We generalize some recently established criteria for the reality and non-reality of the spectrum of some classes of -symmetric Schrödinger operators. The criteria include cases of discrete spectra and continuous ones.
ISSN:0304-4289
0973-7111
DOI:10.1007/s12043-009-0115-7