RECOVERY OF THE LANDAU MATRIX-ELEMENTS FROM THE CLASSICAL FOURIER COMPONENTS - THE ONE-DIMENSIONAL DISSOCIATING OSCILLATOR

The recently suggested method of recovering the Landau exponent of the quasiclassical matrix elements from the attributes of classical motio n is illustrated by way of an example of dissociating anharmonic oscil lators. For a Morse oscillator, in which case the exact analytical res ults are available, the so-called improved semiclassical approximation that incorporates the Landau exponential yields quite accurate matrix elements for classically strongly forbidden events. This provides a f irm support for the method of estimation of quasiclassical matrix elem ents between distant States from the information on the motion of syst em in the classically allowed region.