The Schrödinger equation and canonical perturbation theory
Working in the Bargmann representation, the Schrödinger equation for a perturbed d-dimensional harmonic oscillator is rewritten as a classical Hamilton-Jacobi equation plus corrections under the form of a convergent power series in the Planck constant h. Then the canonical (Birchoff) perturbation theory is applied and related to the Rayleigh-Schrödinger series. The results are relevant for the study of the semiclassical limit.
scientific article; zbMATH DE number 4008980
scientific article