CHAOTIC DYNAMICS OF SOME QUANTUM ANHARMONIC-OSCILLATORS

Quantum domain behaviour of classically chaotic systems is studied usi ng the quantum theory of motion in the sense of classical interpretati on of quantum mechanics as developed by de Broglie and Bohm. Dynamics of quantum Henon-Heiles oscillator, Barbanis oscillator and CTW oscill ator are analysed with the help of quantum Lyapunov exponent and Kolmo gorov-Sinai entropy defined in terms of the distance between two initi ally close Bohmian trajectories. Standard diagnostics of quantum chaos like autocorrelation function and the associated power spectrum, near est-neighbour spacing distribution, phase space volume, spectral rigid ity, etc. support these results. Quantum theory of motion provides an alternative route for understanding quantum chaos. Nonlinear dynamics of integrable systems in quantum domain is also properly taken care of within this framework.