A criterion for the reality of the spectrum of PT symmetric Schroedinger operators with complex-valued periodic potentials

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dc.creatorCaliceti, E.
dc.creatorGraffi, S.
dc.date2008-04-29
dc.date.accessioned2026-07-07T09:35:50Z
dc.date.available2026-07-07T09:35:50Z
dc.descriptionConsider in $L^2(\R)$ the \Sc operator family $H(g):=-d^2_x+V_g(x)$ depending on the real parameter $g$, where $V_g(x)$ is a complex-valued but $PT$ symmetric periodic potential. An explicit condition on $V$ is obtained which ensures that the spectrum of $H(g)$ is purely real and band shaped; furthermore, a further condition is obtained which ensures that the spectrum contains at least a pair of complex analytic arcs.
dc.identifierhttps://arxiv.org/abs/0804.4578
dc.identifierhttp://arxiv.org/abs/0804.4578
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159963
dc.subjectMathematical Physics
dc.titleA criterion for the reality of the spectrum of PT symmetric Schroedinger operators with complex-valued periodic potentials
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