THE DAMPED QUANTUM OSCILLATOR AND A CLASSICAL REPRESENTATION OF QUANTUM-MECHANICS

Authors
MANKO VI SAFONOV SS
Citation
Vi. Manko et Ss. Safonov, THE DAMPED QUANTUM OSCILLATOR AND A CLASSICAL REPRESENTATION OF QUANTUM-MECHANICS, Theoretical and mathematical physics, 112(3), 1997, pp. 1172-1181
Citations number
32
Journal title
Theoretical and mathematical physics → ACNP
ISSN journal
00405779
Volume
112
Issue
3
Year of publication
1997
Pages
1172 - 1181
Database
ISI
SICI code
0040-5779(1997)112:3<1172:TDQOAA>2.0.ZU;2-S
Abstract
In the framework of the classical representation of quantum mechanics, we introduce a marginal distribution for the damped quantum oscillato r described by the Caldirola-Kanai model. This description is based on the symplectic tomography method. The expression found for the margin al distribution for the coherent and Fock states of the damped oscilla tor is expressed through the Gauss function and Hermite polynomials. W e briefly discuss the substitution method of evaluating the marginal d istribution.