We study the tunnel effect for an inverted oscillator with complex frequency. The solution of the corresponding non-Hermitian (NH) Schrodinger equation is found by the evolution operator method, based on the SU(1, 1) structure of the Hamiltonian and the Wei-Norman theorem. We put forward a generalization of dwell time for NH systems built up from their biorthonormal states. The resulting tunnelling time turns out to be complex.

BASKOUTAS S, JANNUSSIS A, MIGNANI R, & PAPATHEOU V (1993). TUNNELING PROCESS FOR NON-HERMITIAN SYSTEMS - THE COMPLEX-FREQUENCY INVERTED OSCILLATOR. JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, 26(17), L819-L824 [10.1088/0305-4470/26/17/012].

TUNNELING PROCESS FOR NON-HERMITIAN SYSTEMS - THE COMPLEX-FREQUENCY INVERTED OSCILLATOR

MIGNANI, ROBERTO;
1993

Abstract

We study the tunnel effect for an inverted oscillator with complex frequency. The solution of the corresponding non-Hermitian (NH) Schrodinger equation is found by the evolution operator method, based on the SU(1, 1) structure of the Hamiltonian and the Wei-Norman theorem. We put forward a generalization of dwell time for NH systems built up from their biorthonormal states. The resulting tunnelling time turns out to be complex.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11590/132340
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