Quantum Expected Value Dynamics in Probabilistic Evolution Perspective for Systems Under Dynamic Weak External Fields

摘要

The main goal of this paper is just mere formalism. We construct the Probabilistic Evolution Equations (PEE) for the expected values of the considered system's operators. The system is assumed to be influenced by a temporally varying external field which is assumed to be sufficiently weak for being approximated by only dipole polarization type interaction terms in the Hamiltonian. An infinite linear and homogeneous vector ODE with given infinite initial vector but time variant infinite matrix coefficient is produced. Explicit time dependence can be removed by using an extended system operator vector.