Bose realization of a non-canonical Heisenberg algebra

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, , Citation G Brodimas et al 1992 J. Phys. A: Math. Gen. 25 L329 DOI 10.1088/0305-4470/25/7/008

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1 Dipartimento di Fisica, Roma Univ., Italy

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0305-4470/25/7/L329

Abstract

The authors 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. They stress also the connection between non-canonical commutation relations and q-algebras.

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