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Estimates on Functional Integrals of Non-Relativistic Quantum Field Theory, With Applications to the Nelson and Polaron Models

Bley Delgado, Gonzalo Alfredo
Format
Thesis/Dissertation; Online
Author
Bley Delgado, Gonzalo Alfredo
Advisor
Thomas, Lawrence
Abstract
A tool to provide lower bounds for the ground state energy of quantum mechanical Hamiltonians is developed and applied to two canonical models in non-relativistic quantum field theory: the Nelson and polaron models. The main idea is the application of the Clark-Ocone formula to the action appearing in the Feynman-Kac expression defining the ground state energy of the corresponding Hamiltonian.
Published
University of Virginia, Department of Mathematics, PHD, 2016
Published Date
2016-04-26
Degree
PHD
Collection
Libra ETD Repository
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