Quantum chaos in a double square well: An approach based on Bohm's view of quantum mechanics

摘要

We study the dynamics of a quantum particle in a double square-well potential within a deterministic framework using Bohm's quantum mechanics. Phase portraits, Fourier spectral analysis, Poincare sections, and Lyapunov exponents clearly indicate that the particle undergoes periodic, quasiperiodic, and chaotic motions depending on the initial form of the wave packet. We also make a detailed comparison between the predictions of the present approach and those of conventional quantum mechanics for the same problem. [S1063-651X(98)03411-4]. [References: 20]