A toy model of bosonic non-canonical quantum field
| dc.creator | Czachor, Marek | |
| dc.creator | Syty, Monika | |
| dc.date | 2001-12-02 | |
| dc.date.accessioned | 2026-07-07T04:12:47Z | |
| dc.date.available | 2026-07-07T04:12:47Z | |
| dc.description | A harmonic oscillator is an indefinite-frequency one if the parameter $ω$ is replaced by an operator. An ensemble of $N$ such oscillators may be regarded as a toy model of a bosonic quantum field. All the possible frequencies associated with a given problem are present already in a single oscillator and $N$ can be finite. Due to the operator character of $ω$ the resulting algebra of creation-annihilation operators is non-canonical. In the limit of large $N$ one recovers perturbation theory formulas of the canonical quantum field theory but with form factors automatically built in. Vacuum energy of the ensemble is finite, a fact discussed in the context of the cosmological constant problem. Space of states is given by a vector bundle with Fock-type fibers. Interactions of the field with 2-level systems, including Rabi oscillations and spontaneous emission, are discussed in detail. | |
| dc.description | revtex | |
| dc.identifier | https://arxiv.org/abs/hep-th/0112011 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0112011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/51029 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Atomic Physics | |
| dc.subject | Quantum Physics | |
| dc.title | A toy model of bosonic non-canonical quantum field | |
| dc.type | text |