Quasiclassical trajectory-coherent states for a Caldirola-Kanai oscillator

Abstract

Quasiclassical trajectory-coherent states (TCS's) are constructed for an oscillator with Caldirola—Kanai Hamiltonian, having the following fundamental property: the quantum mechanical means of the coordinate and momentum operators calculated over these states are exact solutions of the corresponding classical system Hamiltonian. The properties of the solutions so constructed are studied, as is the question of minimization of the TCS Heisenberg uncertainty relationships.