The CWKB approach to non-reflecting potential and cosmological implications

dc.creatorBiswas, S.
dc.creatorChowdhury, I.
dc.date2002-07-02
dc.date.accessioned2026-07-07T11:08:39Z
dc.date.available2026-07-07T11:08:39Z
dc.descriptionWe discuss the method of calculating the reflection coefficient using complex trajectory WKB (CWKB) approximation. This enables us to give an interpretation of non-reflecting nature of the potential under certain conditions and clarify some points, reported incorrectly elsewhere [vs:ejp] for the potential $U(x)=-U_0cosh^2(x/a)$. We show that the repeated reflectios between the turning points are essential, which most authors overlooked, in obtaining the non-reflecting c ondition. We find that the considered repeated reflection paths are in conformity with Bogolubov transformation technique. We discuss the implications of the results when applied to the particle production scenario, considering $x$ as a time variable and also stress the cosmological implications of the result with reference to radiation domonated and de Sitter spacetime.
dc.description9 pages, latex
dc.identifierhttps://arxiv.org/abs/gr-qc/0207015
dc.identifierhttp://arxiv.org/abs/gr-qc/0207015
dc.identifierPramana62:1231-1240,2004
dc.identifierdoi:10.1007/BF02704436
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/190207
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleThe CWKB approach to non-reflecting potential and cosmological implications
dc.typetext

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