Spectrum generating algebra of the C-extended oscillator and multiphoton coherent states
Copyright policy )Spectrum generating algebra of the C-extended oscillator and multiphoton coherent states
The $C_��$-extended oscillator spectrum generating algebra is shown to be a $C_��$-extended $(��-1)$th-degree polynomial deformation of su(1,1). Its coherent states are constructed. Their statistical and squeezing properties are studied in detail. Such states include both some Barut-Girardello and the standard $��$-photon coherent states as special cases.
LaTeX2e, amssym,19 pages, to be published in Phys. Lett. A (+ figures), misprint corrected in eq. (41)
- Université Libre de Bruxelles Belgium
FOS: Physical sciences, Quantum groups (quantized enveloping algebras) and related deformations, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Coherent states, extended oscillators, spectrum generating algebras, Spectrum generating algebras, Mathematical Physics, Coherent state nonclassical properties, Quantum Physics, Multiphoton coherent states, polynomial deformations of Lie algebras, Polynomial deformations of Lie algebras, Physique, Extended oscillators, Mathematical Physics (math-ph), Astronomie, coherent state nonclassical properties, Commutation relations and statistics as related to quantum mechanics (general), multiphoton coherent states, Quantum Physics (quant-ph), Physics - Optics, Optics (physics.optics)
FOS: Physical sciences, Quantum groups (quantized enveloping algebras) and related deformations, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Coherent states, extended oscillators, spectrum generating algebras, Spectrum generating algebras, Mathematical Physics, Coherent state nonclassical properties, Quantum Physics, Multiphoton coherent states, polynomial deformations of Lie algebras, Polynomial deformations of Lie algebras, Physique, Extended oscillators, Mathematical Physics (math-ph), Astronomie, coherent state nonclassical properties, Commutation relations and statistics as related to quantum mechanics (general), multiphoton coherent states, Quantum Physics (quant-ph), Physics - Optics, Optics (physics.optics)
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