A semiclassical approach to quantum Brownian motion in Wigner's phase space
Citation:
Liam Cleary, 'A semiclassical approach to quantum Brownian motion in Wigner's phase space', [thesis], Trinity College (Dublin, Ireland). Department of Electronic & Electrical Engineering, 2010, pp 181Download Item:
Cleary TCD THESIS 9359 A semiclassical.pdf (PDF) 70.30Mb
Abstract:
In this thesis, the recent semiclassical approach to quantum Brownian motion of Coffey et
al. [Phys. Chem. Chem. Phys. 9, 3361 (2007)] is studied in detail. This approach is based
on a semiclassical extension of Wigner's method of obtaining corrections to the classical
equilibrium Maxwell-Boltzmann distribution, yielding a master equation for the reduced
Wigner function in quasi-phase space valid in the weak coupling and high temperature
limits. In the non-inertial or high damping limit, this master equation reduces to a quantum
Smoluchowksi equation (QSE), where the drift coefficient remains as in the classical case,
while the diffusion coefficient is altered to include the quantum parameter and derivatives
of the potential.
Author: Cleary, Liam
Advisor:
Coffey, WilliamQualification name:
Doctor of Philosophy (Ph.D.)Publisher:
Trinity College (Dublin, Ireland). Department of Electronic & Electrical EngineeringNote:
TARA (Trinity’s Access to Research Archive) has a robust takedown policy. Please contact us if you have any concerns: rssadmin@tcd.ieType of material:
thesisCollections:
Availability:
Full text availableLicences: