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].
Titolo: | TUNNELING PROCESS FOR NON-HERMITIAN SYSTEMS - THE COMPLEX-FREQUENCY INVERTED OSCILLATOR | |
Autori: | ||
Data di pubblicazione: | 1993 | |
Rivista: | ||
Citazione: | 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]. | |
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. | |
Handle: | http://hdl.handle.net/11590/132340 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |