https://doi.org/10.1140/epjc/s10052-006-0173-7
Regular Article - Theoretical Physics
Energy states of colored particle in a chromomagnetic field
Institute for Physical Problems, Baku State University, Z. Khalilov str. 23, 1148, Baku, Azerbaijan
* e-mail: shahin@theory.ipm.ac.ir
Received:
25
August
2006
Revised:
5
November
2006
Published online:
16
January
2007
The unitary transformation which diagonalizes the squared Dirac equation in a constant chromomagnetic field is found. Applying this transformation, we find the eigenfunctions of the diagonalized Hamiltonian, that describes the states with a definite value of energy, and we call them energy states. It is pointed out that the energy states are determined by the color interaction term of the particle with the background chromofield, and this term is responsible for the splitting of the energy spectrum. We construct supercharge operators for the diagonal Hamiltonian that ensure the superpartner property of the energy states.
© Springer-Verlag Berlin Heidelberg, 2007
