Noncanonical quantum optics

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dc.creatorCzachor, Marek
dc.date2000-03-20
dc.date.accessioned2026-07-07T10:54:57Z
dc.date.available2026-07-07T10:54:57Z
dc.descriptionModification of the right-hand-side of canonical commutation relations (CCR) naturally occurs if one considers a harmonic oscillator with indefinite frequency. Quantization of electromagnetic field by means of such a non-CCR algebra naturally removes the infinite energy of vacuum but still results in a theory which is very similar to quantum electrodynamics. An analysis of perturbation theory shows that the non-canonical theory has an automatically built-in cut-off but requires charge/mass renormalization already at the nonrelativistic level. A simple rule allowing to compare perturbative predictions of canonical and non-canonical theories is given. The notion of a unique vacuum state is replaced by a set of different vacua. Multi-photon states are defined in the standard way but depend on the choice of vacuum. Making a simplified choice of the vacuum state we estimate corrections to atomic lifetimes, probabilities of multiphoton spontaneous and stimulated emission, and the Planck law. The results are practically identical to the standard ones. Two different candidates for a free-field Hamiltonian are compared.
dc.descriptionCompletely rewritten version of quant-ph/0002003v2. There are overlaps between the papers, but sections on perturbative calculations show the same problem from different sides, therefore quant-ph/0002003v2 is not replaced
dc.identifierhttps://arxiv.org/abs/quant-ph/0003091
dc.identifierhttp://arxiv.org/abs/quant-ph/0003091
dc.identifierJ.Phys.A33:8081-8104,2000
dc.identifierdoi:10.1088/0305-4470/33/45/307
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185966
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectAtomic Physics
dc.titleNoncanonical quantum optics
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