Spectrum of the non-commutative spherical well

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dc.creatorScholtz, F. G.
dc.creatorChakraborty, B.
dc.creatorGovaerts, J.
dc.creatorVaidya, S.
dc.date2007-09-21
dc.date.accessioned2026-07-07T11:19:28Z
dc.date.available2026-07-07T11:19:28Z
dc.descriptionWe give precise meaning to piecewise constant potentials in non-commutative quantum mechanics. In particular we discuss the infinite and finite non-commutative spherical well in two dimensions. Using this, bound-states and scattering can be discussed unambiguously. Here we focus on the infinite well and solve for the eigenvalues and eigenfunctions. We find that time reversal symmetry is broken by the non-commutativity. We show that in the commutative and thermodynamic limits the eigenstates and eigenfunctions of the commutative spherical well are recovered and time reversal symmetry is restored.
dc.identifierhttps://arxiv.org/abs/0709.3357
dc.identifierhttp://arxiv.org/abs/0709.3357
dc.identifierJ.Phys.A40:14581-14592,2007
dc.identifierdoi:10.1088/1751-8113/40/48/019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193693
dc.subjectHigh Energy Physics - Theory
dc.titleSpectrum of the non-commutative spherical well
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