CALDIROLA-KANAI HAMILTONIAN WITH COMPLEX FRICTION COEFFICIENT

Authors
ANGELOPOULOU P BASKOUTAS S JANNUSSIS A MIGNANI R
Citation
P. Angelopoulou et al., CALDIROLA-KANAI HAMILTONIAN WITH COMPLEX FRICTION COEFFICIENT, Nuovo cimento della Societa italiana di fisica. B, Relativity, classical and statistical physics, 109(11), 1994, pp. 1221-1226
Citations number
30
Categorie Soggetti
Physics
Journal title
Nuovo cimento della Societa italiana di fisica. B, Relativity, classical and statistical physics → ACNP
ISSN journal
11241888
Volume
109
Issue
11
Year of publication
1994
Pages
1221 - 1226
Database
ISI
SICI code
1124-1888(1994)109:11<1221:CHWCFC>2.0.ZU;2-8
Abstract
In the present note we find the exact solution of the time-dependent S chrodinger equation for the Caldirola-Kanai Hamiltonian with complex f riction coefficient by applying the biorthogonal method. The eigenfunc tion normalization takes place in the extended Hilbert space L(2){R X [0, T]}, where T is the time. From the biorthonormal solutions we calc ulate the eigenvalues which are complex and discrete, the matrix eleme nts of the current density and the occupation probability.