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.

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

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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