Non-Hermitian quantum mechanics in non-commutative space

Simple item page
dc.creatorGiri, Pulak Ranjan
dc.creatorRoy, P
dc.date2008-06-16
dc.date2008-06-23
dc.date.accessioned2026-07-07T12:51:11Z
dc.date.available2026-07-07T12:51:11Z
dc.descriptionWe study non Hermitian quantum systems in noncommutative space as well as a \cal{PT}-symmetric deformation of this space. Specifically, a \mathcal{PT}-symmetric harmonic oscillator together with iC(x_1+x_2) interaction is discussed in this space and solutions are obtained. It is shown that in the \cal{PT} deformed noncommutative space the Hamiltonian may or may not possess real eigenvalues depending on the choice of the noncommutative parameters. However, it is shown that in standard noncommutative space, the iC(x_1+x_2) interaction generates only real eigenvalues despite the fact that the Hamiltonian is not \mathcal{PT}-symmetric. A complex interacting anisotropic oscillator system has also been discussed.
dc.description5 pages, revised version
dc.identifierhttps://arxiv.org/abs/0806.2564
dc.identifierhttp://arxiv.org/abs/0806.2564
dc.identifierEur.Phys.J.C60:157-161,2009
dc.identifierdoi:10.1140/epjc/s10052-009-0866-9
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222912
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectQuantum Physics
dc.titleNon-Hermitian quantum mechanics in non-commutative space
dc.typetext

Files

Collections

arXiv