Dirac oscillators and quasi-exactly solvable operators
arXiv:quant-ph/0503137 · doi:10.1142/S0217732305018128
Abstract
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.
11 pages, 2 figures