On the nonlinearity interpretation of q- and f-deformation and some applications
| dc.creator | Man'ko, V. I. | |
| dc.creator | Mendes, R. Vilela | |
| dc.date | 1997-05-22 | |
| dc.date.accessioned | 2026-07-07T10:59:09Z | |
| dc.date.available | 2026-07-07T10:59:09Z | |
| dc.description | q-oscillators are associated to the simplest non-commutative example of Hopf algebra and may be considered to be the basic building blocks for the symmetry algebras of completely integrable theories. They may also be interpreted as a special type of spectral nonlinearity, which may be generalized to a wider class of f-oscillator algebras. In the framework of this nonlinear interpretation, we discuss the structure of the stochastic process associated to q-deformation, the role of the q-oscillator as a spectrum-generating algebra for fast growing point spectrum, the deformation of fermion operators in solid-state models and the charge-dependent mass of excitations in f-deformed relativistic quantum fields. | |
| dc.description | 11 pages Latex | |
| dc.identifier | https://arxiv.org/abs/quant-ph/9705039 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/9705039 | |
| dc.identifier | J.Phys.A31:6037-6044,1998 | |
| dc.identifier | doi:10.1088/0305-4470/31/28/017 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/187353 | |
| dc.subject | Quantum Physics | |
| dc.title | On the nonlinearity interpretation of q- and f-deformation and some applications | |
| dc.type | text |