Quasiclassical trajectory-coherent states of an anharmonic oscillator.

Autor: Belov, V., Kondrat'eva, M.
Zdroj: Russian Physics Journal; 1993, Vol. 36 Issue 9, p826-832, 7p
Abstrakt: Based on the complex WKB-Maslov method, asymptotic solutions accurate within O(h) are constructed for a class of wave packets - quasiclassical trajectory-coherent states for a quantum anharmonic oscillator with a potential V(x)=κx+εx. We obtain the behavior of the packet width and the deviations of the approximate solution as a function of time. The actual parameter of the quasiclassical expansion is shown to be α∼h. We find the regions of variation of the potential parameters and of the initial data for which α is small, while the breakdown time of the given accuracy and the packet spreading time are comparable to the time of a single particle revolution. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index