Internal Time Superoperator for Quantum Systems with Diagonal Singularity

Abstract

We generalize the concepts of Internal Time Superoperator, its associated non unitary similarity transformations and Liapounov variables, to quantum systems with diagonal singularity, and we give a constructive proof of the existence of these superoperators for systems with purely diagonal Hamiltonian having uniform absolutely continuous spectrum on the interval from zero to infinity.

11 pages