Characteristics of thc wave function of coupled oscillators in semiquantum chaos

Using the method of adiabatic invariants and the Born-Oppenheimer approximation, we have calculated the ground-state wave function of a pair of coupled oscillators in so-called semiquantum chaos. Some interesting characteristics. e.g., the similarities and differences between the wave functions in the regular and chaotic stares have been found. Time-correlation functions of the wave functions and their Fourier spectra in two states have also been investigated. The sensitivity of the wave function in the chaotic state to the initial conditions has been identified.