We find out the Bose realization of a generalized Heisenberg algebra, in which the bracket of the annihilation and creation operators is proportional to a polynomial function of the number operator. The eigenvalues of the corresponding oscillator are derived in a special case. We stress also the connection between non-canonical commutation relations and q-algebras.
Brodimas, G., Jannussis, A., Mignani, R. (1992). BOSE REALIZATION OF A NONCANONICAL HEISENBERG ALGEBRA. JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, 25(7), L329-L334 [10.1088/0305-4470/25/7/008].
BOSE REALIZATION OF A NONCANONICAL HEISENBERG ALGEBRA
MIGNANI, ROBERTO
1992-01-01
Abstract
We find out the Bose realization of a generalized Heisenberg algebra, in which the bracket of the annihilation and creation operators is proportional to a polynomial function of the number operator. The eigenvalues of the corresponding oscillator are derived in a special case. We stress also the connection between non-canonical commutation relations and q-algebras.File in questo prodotto:
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