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Estimates on Functional Integrals of Non-Relativistic Quantum Field Theory, with Applications to the Nelson and Polaron Models1295 views
Author
Bley Delgado, Gonzalo Alfredo, Mathematics - Graduate School of Arts and Sciences, University of Virginia
Advisors
Thomas, Lawrence, Department of Mathematics, University of Virginia
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.
Degree
PHD (Doctor of Philosophy)
Rights
All rights reserved (no additional license for public reuse)
Bley Delgado, Gonzalo Alfredo. Estimates on Functional Integrals of Non-Relativistic Quantum Field Theory, with Applications to the Nelson and Polaron Models. University of Virginia, Mathematics - Graduate School of Arts and Sciences, PHD (Doctor of Philosophy), 2016-04-26, https://doi.org/10.18130/V3QP13.
