Deriving the Kramers’ dispersion formula from the canonical transformations of Heisenberg’s equation of motion

We obtain the canonical transformations for the time-dependent Hamiltonian from Heisenberg’s equation of motion, based on which we derive the Kramers’ dispersion formula via the perturbation theory of matrix mechanics to the second order approximation.

Bibliographic Details
Main Author: Yong-Yi Huang
Format: Article
Language:English
Published: Elsevier 2024-04-01
Series:Results in Physics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379724002614
Description
Summary:We obtain the canonical transformations for the time-dependent Hamiltonian from Heisenberg’s equation of motion, based on which we derive the Kramers’ dispersion formula via the perturbation theory of matrix mechanics to the second order approximation.
ISSN:2211-3797