Date of Award
Summer 2021
Document Type
Thesis
Degree Name
Master of Arts (MA)
Department
Mathematics and Statistics
First Advisor
Vincent Martinez
Second Advisor
Emmanuel Asante-Asamani
Third Advisor
Neepa Maitra
Academic Program Adviser
Vincent Martinez
Abstract
Exact Factorization is a framework for studying quantum many-body problems. This decomposes the wavefunctions of such systems into conditional and marginal components. We derive corresponding evolution equations for molecular systems whose conditional electronic subsystems are described by one or two Born-Oppenheimer levels and develop a program for their mathematical study.
Recommended Citation
Rosenzweig, Bart, "The Exact Factorization Equations for One- and Two-Level Systems" (2021). CUNY Academic Works.
https://academicworks.cuny.edu/hc_sas_etds/778
Included in
Numerical Analysis and Computation Commons, Partial Differential Equations Commons, Quantum Physics Commons