Time-dependent formulation of the Bogoliubov transformation and time-evolution operators for time-dependent quantum oscillators
Institute of Theoretical Physics, Shanxi
University - Taiyuan 030006, PRC
Corresponding author: email@example.com
Accepted: 1 March 2002
The time-dependent formulation of the Bogoliubov transformation (BT) for single-mode boson operators is derived in matrix multiplication. The combination of the BT differential equation with the time-evolution equation for time-dependent quantum oscillators yields general formulas to get the time-evolution operator of the systems. Examples are given.
PACS: 03.65.Fd – Algebraic methods / 03.65.Ge – Solutions of wave equations: bound states
© EDP Sciences, 2002