Quantum manifestations of the classical chaos in an undamped Duffing oscillator in presence of an external field: A quantum theory of motion study

Quantum dynamics of an undamped single-well Duffing oscillator in presence of a monochromatic external field has been studied using a quantum theory o f motion (QTM) as developed by de Broglie and Bohm, a phase space distance function between two initially close Bohmian trajectories and the associate d Kolmogorov- Sinai entropy and the phase space volume clearly differentiat e the quantum analogues of the corresponding regular and chaotic motions in the classical domain.