Chaotic dynamics of some quantum anharmonic oscillators

Abstract

Quantum domain behaviour of classically chaotic systems is studied using the quantum theory of motion in teh sense of clasical interpretationof quantum mechanics as developed by de Broglie and Bohm. Dynamics of quantum Henon- Heiles oscillatorm barbanis oxcillatior and CTW oscillator are ananysed with the help of quantum Lypunov exponent and Kolmogorov-Sinai entropy defined in terms of the distance between two initially close Bohmian trajectories. Standard diagnostics of quantum chaos like auticorrelation function and the assocated power spectrum, nearest neighbour spacing distribution phase space volume, spectral rigidity, 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.