Time-Dependent Perturbation Calculations Based on the Hydrodynamic Analogy to Quantum Mechanics

Publisher Website
Google Scholar
Abstract
A new formulation is presented for the problem of the time‐dependent perturbation of bound states. It is based on the hydrodynamic analogy to quantum mechanics and leads to the physical picture of a continuum of particles which oscillate in the vicinity of their equilibrium positions under the influence of the perturbing field. The corresponding mathematical formulation involves a single partial differential equation which is second order in time and fourth order in the spatial coordinates. The procedure is applied to the time‐dependent polarizability of the hydrogen atom in its ground state. It was possible to obtain an exact series solution which yields results in full agreement with those previously obtained by other methods.

This publication has 10 references indexed in Scilit: