Damped harmonic oscillators in the holomorphic representation
High Energy Physics - Theory
2008-11-26 v1 Quantum Physics
Abstract
Quantum dynamical semigroups are applied to the study of the time evolution of harmonic oscillators, both bosonic and fermionic. Explicit expressions for the density matrices describing the states of these systems are derived using the holomorphic representation. Bosonic and fermionic degrees of freedom are then put together to form a supersymmetric oscillator; the conditions that assure supersymmetry invariance of the corresponding dynamical equations are explicitly derived.
Keywords
Cite
@article{arxiv.hep-th/0010013,
title = {Damped harmonic oscillators in the holomorphic representation},
author = {F. Benatti and R. Floreanini},
journal= {arXiv preprint arXiv:hep-th/0010013},
year = {2008}
}
Comments
19 pages, plain-TeX, no figures