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
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Cited by in corpus (6)
- Dirac oscillator in an external magnetic field
- Noncommutative Dirac oscillator in an external magnetic field
- Quasi-exact solvability of Dirac equation with Lorentz scalar potential
- Pseudo Hermitian Generalized Dirac Oscillators
- Prepotential approach to exact and quasi-exact solvabilities
- (Quasi)-exactly solvable quasinormal modes