Please use this identifier to cite or link to this item: http://repository.aaup.edu/jspui/handle/123456789/1038
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dc.contributor.authorLombard, R.J.$Other$Other-
dc.contributor.authorMezhoud, R.$Other$Other-
dc.date.accessioned2020-02-11T12:31:17Z-
dc.date.available2020-02-11T12:31:17Z-
dc.date.issued2019-
dc.identifier.citationVolume 5, Issue 1en_US
dc.identifier.urihttp://repository.aaup.edu/jspui/handle/123456789/1038-
dc.description.abstractWe investigate the spectrum of the linear complex PT symmetric potential V(x) = λ|x| + icx. Semi analytical solutions are given by using properties of the Airy functions. The numerical integration of the differential equation system is discussed. We show that the number of eigenstates with a real eigenvalue is limited, depending on the ratio c/λ and on the quantum number n, reflecting a spontaneous breaking of the PT symmetry. For the ground state ( n = 0), we conjecture the eigenvalue to be real whatever the value of c.en_US
dc.language.isoenen_US
dc.publisherJournal of the Arab American Universityen_US
dc.subjectAiry functionen_US
dc.subjectComplex symmetric potential.en_US
dc.titleStudying The Linear Complex Pt Symmetric Potentialen_US
dc.typeArticleen_US
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