Real-Time Path Integral Simulations of Variable Frequency Phonons and Spin Reservoirs in Condensed Materials
Forsythe, Kelsey McEntire
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https://hdl.handle.net/2142/84435
Description
Title
Real-Time Path Integral Simulations of Variable Frequency Phonons and Spin Reservoirs in Condensed Materials
Author(s)
Forsythe, Kelsey McEntire
Issue Date
1999
Doctoral Committee Chair(s)
Makri, Nancy
Department of Study
Chemistry
Discipline
Chemistry
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Physics, Condensed Matter
Language
eng
Abstract
In the following Feynman path integral technology is used to describe the influence of condensed media on several quantum systems. A comparison of vibrational adiabatic methods and exact path integral formulations is made in the context of variable frequency oscillators. Particular attention is paid to the motion of impurities in a semiconductor lattice and reverse isotopic effects arising due to variable frequency oscillator coordinate(s). In addition, a comparison is made between the oft studied spin-boson problem and a model lattice of spins interacting with a two-level system. Significant differences in temperature and coupling dependence of the two model reservoirs are illustrated and discussed.
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