Using the formalism of g-operator we find a generalization of the harmonic-oscillator algebra, which contains as particular cases the boson and fermion oscillators. The form of the creation and annihilation operators is obtained as a function of two operators, alpha and beta, which satisfy a certain new algebra of the Lie-admissible type.

Defalco, L., Mignani, R., Scipioni, R. (1995). HARMONIC OSCILLATOR WITH GENERALIZED STATISTICS. NUOVO CIMENTO DELLA SOCIETÀ ITALIANA DI FISICA. A, NUCLEI, PARTICLES AND FIELDS, 108(2), 259-262.

HARMONIC OSCILLATOR WITH GENERALIZED STATISTICS

MIGNANI, ROBERTO;
1995-01-01

Abstract

Using the formalism of g-operator we find a generalization of the harmonic-oscillator algebra, which contains as particular cases the boson and fermion oscillators. The form of the creation and annihilation operators is obtained as a function of two operators, alpha and beta, which satisfy a certain new algebra of the Lie-admissible type.
1995
Defalco, L., Mignani, R., Scipioni, R. (1995). HARMONIC OSCILLATOR WITH GENERALIZED STATISTICS. NUOVO CIMENTO DELLA SOCIETÀ ITALIANA DI FISICA. A, NUCLEI, PARTICLES AND FIELDS, 108(2), 259-262.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/131356
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