Classical Hamiltonian dynamics of a particle interacting with the vibrational modes of a one-dimensional medium
Keywords and Phrases
Holstein molecular crystal
"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, leaf iv.
Parris, Paul Ernest, 1954-
Story, J. Greg
Whitworth, T. M. (Thomas M.)
Bertino, Massimo F.
Ph. D. in Physics
National Science Foundation (U.S.)
University of Missouri--Rolla
Journal article titles appearing in thesis/dissertation
- Chaotic dynamics of a free particle interacting linearly with a harmonic oscillator
- Adiabatic-nonadiabatic transition in the diffusive Hamiltonian dynamics of a classical Holstein polaron
x, 110 leaves
© 2006 Alexander Aden Temple Silvius, All rights reserved.
Dissertation - Citation
Library of Congress Subject Headings
Chaotic behavior in systems
Print OCLC #
Link to Catalog Record
Full-text not available: Request this publication directly from Missouri S&T Library or contact your local library.http://laurel.lso.missouri.edu/record=b5794329~S5
Silvius, Alex A., "Classical Hamiltonian dynamics of a particle interacting with the vibrational modes of a one-dimensional medium" (2006). Doctoral Dissertations. 1665.