A FRESH LOOK AT THE BCK FRICTIONAL LAGRANGIAN

Citation
Vj. Menon et al., A FRESH LOOK AT THE BCK FRICTIONAL LAGRANGIAN, Progress of theoretical physics, 98(2), 1997, pp. 321-329
Citations number
39
Categorie Soggetti
Physics
ISSN journal
0033068X
Volume
98
Issue
2
Year of publication
1997
Pages
321 - 329
Database
ISI
SICI code
0033-068X(1997)98:2<321:AFLATB>2.0.ZU;2-D
Abstract
A suitable contact transformation is carried out on the original Batem an-Caldirola-Kanai (BCK) Lagrangian of a quantum dissipative particle. The resulting theory is found to obey standard principles of quantum mechanics. Also, the relevant path integrals are easy to compute, and they lead to a correct description of both the lumped state motion as well as the Brownian probability (at high temperature) of the damped h armonic oscillator.