Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations
Mathematical Physics
2015-12-21 v2 Functional Analysis
math.MP
Abstract
We provide general conditions for which bosonic quadratic Hamiltonians on Fock spaces can be diagonalized by Bogoliubov transformations. Our results cover the case when quantum systems have infinite degrees of freedom and the associated one-body kinetic and paring operators are unbounded. Our sufficient conditions are optimal in the sense that they become necessary when the relevant one-body operators commute.
Keywords
Cite
@article{arxiv.1508.07321,
title = {Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations},
author = {Phan Thành Nam and Marcin Napiórkowski and Jan Philip Solovej},
journal= {arXiv preprint arXiv:1508.07321},
year = {2015}
}
Comments
Revised version to appear in Journal of Functional Analysis