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.
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. |
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 |