Damped harmonic oscillators in the holomorphic representation

Authors
Benatti, F Floreanini, R
Citation
F. Benatti et R. Floreanini, Damped harmonic oscillators in the holomorphic representation, J PHYS A, 33(45), 2000, pp. 8139-8153
Citations number
41
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
33
Issue
45
Year of publication
2000
Pages
8139 - 8153
Database
ISI
SICI code
0305-4470(20001117)33:45<8139:DHOITH>2.0.ZU;2-B
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 fre edom are then put together to form a supersymmetric oscillator; the conditi ons that ensure supersymmetry invariance of the corresponding dynamical equ ations are derived explicitly.