Journal of Physics A Mathematical and General
Jaynes-Cummings model diagonalization based on symmetry
G. Benivegna, ANTONINO MESSINA
Abstract
We illustrate a new systematic diagonalization procedure through its application to the well known Jaynes-Cummings model. Our method, starting from the consideration of peculiar invariance properties of the Hamiltonian, singles out specific constants of motion by which we succeed in introducing appropriate unitary transformations accomplishing a canonical reduction of the Hamiltonian into a diagonal form. The potentialities of the treatment is briefly discussed.