Mathematical Theory of Locally Coherent Quantum Many-Body Fermionic System
Strongly Correlated Electrons
2020-03-30 v1 Materials Science
Abstract
Recently Wang and Cheng proposed a self-consistent effective Hamiltonian theory (SCEHT) for many-body fermionic systems (Wang & Cheng, 2019). This paper attempts to provide a mathematical foundation to the formulation of the SCEHT that enables further study of excited states of the system in a more systematic and theoretical manner. Gauge fields are introduced and correct total energy functional in relations to the coupling gauge field is given. We also provides a Monte-Carlo numerical scheme for the search of the ground state that goes beyond the SCEHT.
Keywords
Cite
@article{arxiv.2003.12480,
title = {Mathematical Theory of Locally Coherent Quantum Many-Body Fermionic System},
author = {Xindong Wang},
journal= {arXiv preprint arXiv:2003.12480},
year = {2020}
}