Dirac oscillators and quasi-exactly solvable operators

Details Dirac oscillators and quasi-exactly solvable operators Dirac oscillators and quasi-exactly solvable operators

2005-03-15

arxiv.org/abs/quant-ph/0503137v1

Physics

Quantum Physics

11 pages, 2 figures

Scientific paper

10.1142/S0217732305018128

The Dirac equation is considered in the background of potentials of several types, namely scalar and vector-potentials as well as "Dirac-oscillator" potential or some of its generalisations. We investigate the radial Dirac equation within a quite general spherically symmetric form for these potentials and we analyse some exactly and quasi exactly solvable properties of the underlying matricial linear operators.

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