Abstract
We show that the (2+1)-dimensional Dirac-Moshinsky oscillator coupled to an external magnetic field can be treated algebraically with the SU(1,1) group theory and its group basis. We use the su(1,1) irreducible representation theory to find the energy spectrum and the eigenfunctions. Also, with the su(1,1) group basis we construct the relativistic coherent states in a closed form for this problem.
Original language | English |
---|---|
Article number | 271 |
Pages (from-to) | 271-274 |
Number of pages | 4 |
Journal | Communications in Theoretical Physics |
Volume | 63 |
Issue number | 3 |
DOIs | |
State | Published - 1 Mar 2015 |
Keywords
- Dirac equation
- Dirac-Moshinsky oscillator
- Lie algebras
- coherent states