Classical Hamiltonian dynamics of a particle interacting with the vibrational modes of a one-dimensional medium

"The polaron and more generally the basic problem of a particle interacting with the vibrational modes of the local medium are important to a large range of physical processes. The complex behavior and underlying properties of polaron dynamics has been the focus of much research for many years. Since the exact quantum mechanical dynamics of the interacting particle/many-oscillator system remains computationally complex due to the enormous size of the man-body Hilbert space, it is difficult to computationally test perturbative or semi-classical calculations of such fundamental transport quantities as the polaron diffusion constant. This thesis introduces a classical model which incorporates the essential features of a particle coupling to the surrounding vibrational modes. With this simple model it is possible to numerically evaluate the equations of motion allowing detailed examination of the dynamics"--Abstract, page iv.

Name thesis:degree_name

Ph. D. in Physics

Grantor

University of Missouri--Rolla

Year dc:date.available

2016

Author dc:creator

• Silvius, Alex A.

• Holstein molecular crystal
• Physics

Repository record dc:identifier

https://scholarsmine.mst.edu/doctoral_dissertations/1665

OAI identifier oai:identifier

oai:scholarsmine.mst.edu:doctoral_dissertations-2667