Kubo-Einstein relation for quantum Brownian motion in a periodic potential

1991 ◽  
Vol 65 (3-4) ◽  
pp. 761-771 ◽  
Author(s):  
Yong -Cong Chen
Keyword(s):  
Brownian Motion ◽  
Periodic Potential ◽  
Einstein Relation ◽  
Quantum Brownian Motion

Phase space master equations for quantum Brownian motion in a periodic potential: comparison of various kinetic models

2011 ◽  
Vol 44 (47) ◽  
pp. 475001 ◽  
Author(s):  
Liam Cleary ◽  
William T Coffey ◽  
William J Dowling ◽  
Yuri P Kalmykov ◽  
Serguey V Titov
Keyword(s):  
Brownian Motion ◽  
Phase Space ◽  
Kinetic Models ◽  
Periodic Potential ◽  
Master Equations ◽  
Quantum Brownian Motion

Master equation in phase space applied to the quantum Brownian motion in a tilted periodic potential

2012 ◽  
Vol 45 (10) ◽  
pp. 105002 ◽  
Author(s):  
William T Coffey ◽  
Yuri P Kalmykov ◽  
Serguey V Titov ◽  
Liam Cleary ◽  
William J Dowling
Keyword(s):  
Brownian Motion ◽  
Phase Space ◽  
Master Equation ◽  
Periodic Potential ◽  
Quantum Brownian Motion

scholarly journals Erratum: Master equation in phase space applied to the quantum Brownian motion in a tilted periodic potential

2012 ◽  
Vol 45 (17) ◽  
pp. 179601
Author(s):  
William T Coffey ◽  
Yuri P Kalmykov ◽  
Serguey V Titov ◽  
Liam Cleary ◽  
William J Dowling
Keyword(s):  
Brownian Motion ◽  
Phase Space ◽  
Master Equation ◽  
Periodic Potential ◽  
Quantum Brownian Motion

QUANTUM BROWNIAN MOTION IN A PERIODIC POTENTIAL: THE PATH INTEGRAL FOR A SUPER-OHMIC BATH

2012 ◽  
Vol 11 (01) ◽  
pp. 1240006
Author(s):  
M. ARRAYÁS
Keyword(s):  
Brownian Motion ◽  
Path Integral ◽  
Periodic Potential ◽  
Brownian Particle ◽  
Path Integrals ◽  
Quantum Brownian Motion ◽  
Dissipative Dynamics ◽  
Influence Functional

The problem of a Brownian particle in a super-Ohmic bath under the effect of a periodic tilted potential is studied. The quantum dissipative dynamics is formulated in terms of the influence functional and the path integrals are calculated explicitly and analytically.

Quantum Brownian motion in a periodic potential

1985 ◽  
Vol 32 (10) ◽  
pp. 6190-6206 ◽  
Author(s):  
Matthew P. A. Fisher ◽  
Wilhelm Zwerger
Keyword(s):  
Brownian Motion ◽  
Periodic Potential ◽  
Quantum Brownian Motion

Quantum Brownian motion in a periodic potential: a pedestrian approach

1987 ◽  
Vol 48 (7) ◽  
pp. 1093-1110 ◽  
Author(s):  
C. Aslangul ◽  
N. Pottier ◽  
D. Saint-James
Keyword(s):  
Brownian Motion ◽  
Periodic Potential ◽  
Quantum Brownian Motion
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