Relativistic oscillators in a noncommutative space and in a magnetic field. (English) Zbl 1264.81185
Summary: In this work, we study the relativistic oscillators in a noncommutative space and in a magnetic field. It is shown that the effect of the magnetic field may compete with that of the noncommutative space and that is able to vanish the effect of the noncommutative space.
MSC:
| 81Q05 | Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics |
| 81R60 | Noncommutative geometry in quantum theory |
