Among Quadratic Hamiltonians, Bogoliubov Transformations and Non-Regular States on CCRs *-Algebra. I. Pure and Invariant States. (In the Mood for the Manuceau Verbeure Theorems about Quasi-free States and Automorphisma of the CCR Algebra)
| dc.creator | Choroszavin, Sergej A. | |
| dc.date | 2003-01-20 | |
| dc.date | 2003-02-05 | |
| dc.date.accessioned | 2026-07-07T04:29:44Z | |
| dc.date.available | 2026-07-07T04:29:44Z | |
| dc.description | The features of the paper are these: 1) we discuss {\bf especially} quadratic (alias bilinear) Bose-Hamiltonians, the related Bogoliubov transformations and {\bf especially} quasi-free-like (alias coherent or Fock-like) states 2) we discuss {\bf any} quadratic Bose-Hamiltonians and Bogoliubov transformations, whether diagonalizable or not, whether proper or improper, and {\bf arbitrary} quasi-free-like states, whether regular or non-regular they are 3) we associate notions and terms of the CCRs theory {CCRs = Canonical Commutation Relations} with notions and terms of the indefinite inner product spaces theory. Then, we apply the corresponding `bilingual dictionary' so as to construct invariant states of some of the quadratic Hamiltonians. | |
| dc.description | Latex 2.09, minor grammatical changes | |
| dc.identifier | https://arxiv.org/abs/math-ph/0301027 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0301027 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/57269 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Dynamical Systems | |
| dc.title | Among Quadratic Hamiltonians, Bogoliubov Transformations and Non-Regular States on CCRs *-Algebra. I. Pure and Invariant States. (In the Mood for the Manuceau Verbeure Theorems about Quasi-free States and Automorphisma of the CCR Algebra) | |
| dc.type | text |