On a role of Gamow states for description of systems with time-dependent parameters

The physical relevance of Gamow states has been investigated for decay processes of explicitely time-dependent quantum systems. For such purpose the differential emission spectra derived from exact solutions of the Schroedinger equation have been computed, fully including the continuum, and compared to spectra resulting from a closed expression based on a physically transparent mechanism of a radioactive decay with time-dependent parameters. Both methods are applied within a model consisting of a single particle initially bound in an angular-momentum dependent separable potential. The comparison between the numerical results for various dynamical regimes demonstrates that under certain conditions concerning the different time scales of the process the use of Gamow states allows, at least qualitatively, for the prediction of typical features of the emission spectrum like peak position, peak width, and the total amount of emission