dorsal/arxiv
View SchemaOn the nonlinearity interpretation of q- and f-deformation and some applications
| Authors | V. I. Man'ko, R. Vilela Mendes |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9705039 |
| URL | https://arxiv.org/abs/quant-ph/9705039 |
| DOI | 10.1088/0305-4470/31/28/017 |
| Journal | J.Phys.A31:6037-6044,1998 |
Abstract
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.
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"abstract": "q-oscillators are associated to the simplest non-commutative example of Hopf\nalgebra and may be considered to be the basic building blocks for the symmetry\nalgebras of completely integrable theories. They may also be interpreted as a\nspecial type of spectral nonlinearity, which may be generalized to a wider\nclass of f-oscillator algebras. In the framework of this nonlinear\ninterpretation, we discuss the structure of the stochastic process associated\nto q-deformation, the role of the q-oscillator as a spectrum-generating algebra\nfor fast growing point spectrum, the deformation of fermion operators in\nsolid-state models and the charge-dependent mass of excitations in f-deformed\nrelativistic quantum fields.",
"arxiv_id": "quant-ph/9705039",
"authors": [
"V. I. Man\u0027ko",
"R. Vilela Mendes"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/31/28/017",
"journal_ref": "J.Phys.A31:6037-6044,1998",
"title": "On the nonlinearity interpretation of q- and f-deformation and some applications",
"url": "https://arxiv.org/abs/quant-ph/9705039"
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