We find the exact solution of the time evolution for the generalized parametric oscillator, both in the Schrodinger and in the Heisenberg representation, by exploiting the SLJ (1, 1) structure of the Hamiltonian, the isomorphism between the SU(1, 1) and SL(2, R) groups and the Wei-Norman expression of the evolution operator. Coherent states and Berry's phase are briefly considered.

Baskoutas, S., Jannussis, A., Mignani, R. (1992). STUDY OF THE GENERALIZED PARAMETRIC OSCILLATOR. PHYSICS LETTERS A, 164(1), 17-22 [10.1016/0375-9601(92)90898-V].

STUDY OF THE GENERALIZED PARAMETRIC OSCILLATOR

MIGNANI, ROBERTO
1992-01-01

Abstract

We find the exact solution of the time evolution for the generalized parametric oscillator, both in the Schrodinger and in the Heisenberg representation, by exploiting the SLJ (1, 1) structure of the Hamiltonian, the isomorphism between the SU(1, 1) and SL(2, R) groups and the Wei-Norman expression of the evolution operator. Coherent states and Berry's phase are briefly considered.
Baskoutas, S., Jannussis, A., Mignani, R. (1992). STUDY OF THE GENERALIZED PARAMETRIC OSCILLATOR. PHYSICS LETTERS A, 164(1), 17-22 [10.1016/0375-9601(92)90898-V].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/132379
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