Time-dependent bogoliubov transformations and the damped harmonic oscillator

Shanta, P. ; Chaturvedi, S. ; Srinivasan, V. ; Mancini, F. (1993) Time-dependent bogoliubov transformations and the damped harmonic oscillator Modern Physics Letters A, 8 (21). pp. 1999-2009. ISSN 0217-7323

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Official URL: http://www.worldscinet.com/abstract?id=pii:S021773...

Related URL: http://dx.doi.org/10.1142/S0217732393001719

Abstract

We derive the master equation for a damped harmonic oscillator, for any α, using time-dependent Bogoliubov transformations of non-equilibrium thermofield dynamics. This investigation naturally leads us to a physically and mathematically meaningful parametrization of the Bogoliubov matrix.

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