The perturbation theory of matrix mechanics based on its canonical transformations

Abstract

We elucidate that the canonical transformations of matrix mechanics are just the transformations of different representations of the standard quantum mechanics, reproduce the non-degenerate, degenerate and time-dependent perturbation theory in three men’s paper, we solve the mystery of time-dependent perturbation theory of matrix mechanics. The Kramers’ dispersion formula from time-dependent perturbation theory of matrix mechanics is also derived from that of wave mechanics.

Keywords

• Representation theory
• Perturbation theory
• Kramers’ dispersion formula
• Matrix mechanics