A Novel Quasi-Exactly Solvable Model with Total Transmission Modes

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dc.creatorCho, Hing-Tong
dc.creatorHo, Choon-Lin
dc.date2006-06-18
dc.date2008-06-10
dc.date.accessioned2026-07-07T09:43:26Z
dc.date.available2026-07-07T09:43:26Z
dc.descriptionIn this paper we present a novel quasi-exactly solvable model with symmetric inverted potentials which are unbounded from below. The quasi-exactly solvable states are shown to be total transmission (or reflectionless) modes. From these modes even and odd wavefunctions can be constructed which are normalizable and flux-zero. Under the procedure of self-adjoint extension, a discrete spectrum of bound states can be obtained for these inverted potentials and the solvable part of the spectrum is the quasi-exactly solvable states we have discovered.
dc.descriptionRevtex, 9 pages, 1 eps figure, claim on continuous bound state spectra removed, more discussions on self-adjoint extensions added
dc.identifierhttps://arxiv.org/abs/quant-ph/0606144
dc.identifierhttp://arxiv.org/abs/quant-ph/0606144
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162559
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.titleA Novel Quasi-Exactly Solvable Model with Total Transmission Modes
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