Abstract
Starting from the Bogoliubov diagonalization for the Hamiltonian of a weakly interacting Bose gas under the presence of a Bose-Einstein condensate, we derive the kinetic equation for the Bogoliubov excitations. Without dropping any of the commutators, we find three collisional processes. One of them describes the interactions between the condensate and the excited atoms. The other two describe the and interactions between the excited atoms themselves.
- Received 14 December 2019
- Revised 22 January 2020
- Accepted 20 February 2020
DOI:https://doi.org/10.1103/PhysRevE.101.032119
©2020 American Physical Society
Physics Subject Headings (PhySH)
Statistical Physics & Thermodynamics