Non-canonical quantum optics (II): Poincaré covariant formalism and thermodynamic limit
| dc.creator | Czachor, Marek | |
| dc.creator | Syty, Monika | |
| dc.date | 2002-05-02 | |
| dc.date.accessioned | 2026-07-07T06:04:06Z | |
| dc.date.available | 2026-07-07T06:04:06Z | |
| dc.description | The paper contains further development of the idea of field quantization introduced in M. Czachor, J. Phys. A: Math. Gen. {\bf 33} (2000) 8081-8103. The formalism is extended to the relativistic domain. The link to the standard theory is obtained via a thermodynamic limit. Unitary representations of the Poincaré group at the level of fields and states are explicitly given. Non-canonical multi-photon and coherent states are introduced. In the thermodynamic limit the statistics of photons in a coherent state is Poissonian. The $S$ matrix of radiation fields produced by a classical current is given by a non-canonical coherent-state displacement operator, a fact automatically eliminating the infrared catastrophe. Field operators are shown to be operators and not operator-valued distributions, and can be multiplied at the same point in configuration space. An exactly solvable example is used to compare predictions of the standard theory with those of non-canonical quantum optics, and explicitly shows the mechanism of automatic ultraviolet regularization occuring in the non-canonical theory. Similar conclusions are obtained in perturbation theory, where one finds the standard Feynman diagrams, but the Feynman rules are modified. A comparison with the Dicke-Hepp-Lieb model allows to identify the physical structure behind the non-canonical algebra as corresponding to an ensemble of indefinite-frequency oscillators with constant density $N/V$. | |
| dc.description | further generalization of hep-th/0201090, quant-ph/0003091, hep-th/0112011 | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0205011 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0205011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/90181 | |
| dc.subject | Quantum Physics | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Atomic Physics | |
| dc.title | Non-canonical quantum optics (II): Poincaré covariant formalism and thermodynamic limit | |
| dc.type | text |