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Title:Iterative Monte Carlo for quantum dynamics
Author(s):Jadhao, Vikram
Director of Research:Makri, Nancy
Doctoral Committee Chair(s):Martin Gruebele
Doctoral Committee Member(s):Makri, Nancy; Aksimentiev, Aleksei; Stack, John D.
Department / Program:Physics
Discipline:Physics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Monte Carlo methods
Quantum dynamics
Iterative methods
Path integrals
Abstract:We present an exact path integral methodology for computing quantum dynamical information. This method combines the concepts of iterative propagation with the features of Monte Carlo sampling. The stepwise evaluation of the path integral circumvents the growth of statistical error with time and the use of importance sampling leads to a favorable scaling of required grid points with the number of particles. Three different Monte Carlo sampling procedures are presented. Time correlation functions for several multi-dimensional model systems are computed and accurate long time dynamics are obtained. In the end, the capabilities and limitations of the method are discussed.
Issue Date:2010-08-31
URI:http://hdl.handle.net/2142/16958
Rights Information:Copyright 2010 Vikram Jadhao
Date Available in IDEALS:2010-08-31
2012-09-07
Date Deposited:2010-08


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