| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4589685 | Journal of Functional Analysis | 2016 | 29 Pages |
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
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Phan Thành Nam, Marcin Napiórkowski, Jan Philip Solovej,