We discuss, in the Schrodinger picture, the time evolution of open quantum systems driven by Hamiltonians of the Caldirola-Kanai (CK) type, i.e. the usual CK Hamiltonian, the inverted one (obtained by letting omega --> iomega) and the CK Hamiltonian with complex friction coefficient. The approach we use is essentially based on the Lie-admissible treatment of non-Hermitian Hamiltonians and on the Wei-Horman expression of the time-development operator. The explicit expressions of the CK propagators are derived. By passing to Bloch statistics (letting t --> - iHBARbeta), we find also the density matrix and the main thermodynamical quantities of the imaginary friction CK oscillator.
Baskoutas, S., Jannussis, A., Mignani, R. (1993). TIME EVOLUTION OF CALDIROLA-KANAI OSCILLATORS. IL NUOVO CIMENTO DELLA SOCIETÀ ITALIANA DI FISICA. B, GENERAL PHYSICS, RELATIVITY, ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 108(9), 953-966 [10.1007/BF02822858].
TIME EVOLUTION OF CALDIROLA-KANAI OSCILLATORS
MIGNANI, ROBERTO
1993-01-01
Abstract
We discuss, in the Schrodinger picture, the time evolution of open quantum systems driven by Hamiltonians of the Caldirola-Kanai (CK) type, i.e. the usual CK Hamiltonian, the inverted one (obtained by letting omega --> iomega) and the CK Hamiltonian with complex friction coefficient. The approach we use is essentially based on the Lie-admissible treatment of non-Hermitian Hamiltonians and on the Wei-Horman expression of the time-development operator. The explicit expressions of the CK propagators are derived. By passing to Bloch statistics (letting t --> - iHBARbeta), we find also the density matrix and the main thermodynamical quantities of the imaginary friction CK oscillator.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
