Volume 58, Number 5, June 2002
|Page(s)||639 - 645|
|Published online||01 May 2002|
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: firstname.lastname@example.org
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
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