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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
mathematics
Spectrum of the non-commutative spherical well
Journal of Physics A: Mathematical and Theoretical, Volume 40, No. 48, Year 2007
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Description
We give precise meaning to piecewise constant potentials in non-commutative quantum mechanics. In particular, we discuss the infinite and finite non-commutative spherical wells in two dimensions. Using this, bound states and scattering can be discussed unambiguously. Here we focus on the infinite well and solution 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. © 2007 IOP Publishing Ltd.
Authors & Co-Authors
Scholtz, Frederik G.
South Africa, Stellenbosch
Stellenbosch University
Chakraborty, Biswajit
South Africa, Stellenbosch
Stellenbosch University
India, Kolkata
S. N. Bose National Centre for Basic Sciences
Govaerts, J.
South Africa, Stellenbosch
Stellenbosch University
Belgium, Louvain-la-neuve
Université Catholique de Louvain
Benin, Cotonou
University of Abomey-calavi
South Africa, Stellenbosch
Stellenbosch Institute for Advanced Study
Vaidya, S.
India, Bengaluru
Indian Institute of Science
Statistics
Citations: 61
Authors: 4
Affiliations: 6
Identifiers
Doi:
10.1088/1751-8113/40/48/019
ISSN:
17518113
e-ISSN:
17518121
Study Design
Phenomenological Study