Heisenberg representation of second-quantized fields in stationary external fields and nonlinear dielectric media

摘要: The Heisenberg formalism for the creation and annihilation operators of quantized fields in stationary external is developed. Fields with spin 0, 1/2, 1 are considered electromagnetic scalar a field dielectric properties nonlinear medium. An elliptic operator that depends on time as parameter whose eigenfunctions can be used to expand variables representation constructed. connection between found by diagonalizing Hamiltonian Bogolyubov transformations established. equations motion obtained arbitrary form. phenomenological widely describe parametric generation light derived framework quantum theory, limits applicability