| Issue |
Europhys. Lett.
Volume 58, Number 5, June 2002
|
|
|---|---|---|
| Page(s) | 639 - 645 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2002-00397-8 | |
| 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: wsliu@sxu.edu.cn
Received:
25
October
2001
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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