Bogoliubov Hamiltonians and one parameter groups of Bogoliubov transformations
| dc.creator | Bruneau, L. | |
| dc.creator | Derezinski, J. | |
| dc.date | 2005-11-22 | |
| dc.date.accessioned | 2026-07-07T06:50:32Z | |
| dc.date.available | 2026-07-07T06:50:32Z | |
| dc.description | On the bosonic Fock space, a family of Bogoliubov transformations corresponding to a strongly continuous one-parameter group of symplectic maps R(t) is considered. Under suitable assumptions on the generator A of this group, which guarantee that the induced representations of CCR are unitarily equivalent for all time t, it is known that the unitary operator U_{nat}(t) which implement this transformation gives a prjective unitary representation of R(t). Under rather general assumptions on the generator A, we prove that the corresponding Bogoliubov transformations can be implemented by a one-parameter group U(t) of unitary operators. The generator of U(t) will be called a Bogoliubov Hamiltonian. We will introduce two kinds of Bogoliubov Hamiltonians (type I and II) and give conditions so that they are well defined. | |
| dc.identifier | https://arxiv.org/abs/math-ph/0511069 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0511069 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104696 | |
| dc.subject | Mathematical Physics | |
| dc.title | Bogoliubov Hamiltonians and one parameter groups of Bogoliubov transformations | |
| dc.type | text |