A fresh look at the BCK frictional lagrangian

Menon, Vairelil J. ; Chanana, Namrata ; Singh, Yashwant (1997) A fresh look at the BCK frictional lagrangian Progress of Theoretical Physics, 98 (2). pp. 321-329. ISSN 0033-068X

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Official URL: http://ptp.ipap.jp/link?PTP/98/321/

Related URL: http://dx.doi.org/10.1143/PTP.98.321


A suitable contact transformation is carried out on the original Bateman-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 harmonic oscillator.

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