PT-Symmetric Schrödinger Operators with Unbounded Potentials

Paperback Engels 2011 2011e druk 9783834817624
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Samenvatting

Jan Nesemann studies relatively bounded perturbations of self-adjoint operators in Krein spaces with real spectrum. The main results provide conditions which guarantee the spectrum of the perturbed operator to remain real. Similar results are established for relatively form-bounded perturbations and for pseudo-Friedrichs extensions. The author pays particular attention to the case when the unperturbed self-adjoint operator has infinitely many spectral gaps, either between eigenvalues or, more generally, between separated parts of the spectrum.

Specificaties

ISBN13:9783834817624
Taal:Engels
Bindwijze:paperback
Aantal pagina's:83
Druk:2011

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Inhoudsopgave

Linear Operators in Krein Spaces – PT-Symmetry – Spectral Theory – Relatively Bounded/Compact Perturbations – Relatively Form-Bounded/Form-Compact Perturbations – Schrödinger Operators

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        PT-Symmetric Schrödinger Operators with Unbounded Potentials