Quantum Smoluchowski equation II: The overdamped harmonic oscillator

Authors
Pechukas, P Ankerhold, J Grabert, H
Citation
P. Pechukas et al., Quantum Smoluchowski equation II: The overdamped harmonic oscillator, J PHYS CH B, 105(28), 2001, pp. 6638-6641
Citations number
5
Categorie Soggetti
Physical Chemistry/Chemical Physics
Journal title
JOURNAL OF PHYSICAL CHEMISTRY B
ISSN journal
15206106 → ACNP
Volume
105
Issue
28
Year of publication
2001
Pages
6638 - 6641
Database
ISI
SICI code
1520-6106(20010719)105:28<6638:QSEITO>2.0.ZU;2-A
Abstract
The quantum Smoluchowski equation is an equation for the coordinate-diagona l elements of the density operator, and it is identical to the classical Sm oluchowski equation. Here, the leading finite-friction correction to the qu antum Smoluchowski equation is derived, for the particular case of the over damped harmonic oscillator. It is in fact a quantum correction, different f rom the well-known classical correction, and it dominates the classical cor rection in the strong friction regime.