Physical Review E
The dynamics of a particle in square and circular billiards is studied within the framework of Bohm’s quantum mechanics. While conventional quantum mechanics predicts that the system shows no indication of chaotic behavior for these geometries from either the eigenvalue spectra distribution or the structure of the eigenfunctions, we find that in Bohm’s quantum mechanics these systems exhibit both regular and chaotic behavior, depending on the form of the initial wave packet and on the particle’s initial position.
Quantum chaos; Quantum theory
Citation: Pilot Scholars Version (Modified MLA Style)
Bonfim, O. F. de Alcantara; Florencio, J.; and Sá Barreto, F. C., "Chaotic dynamics in billiards using Bohm’s quantum mechanics" (1998). Physics Faculty Publications and Presentations. Paper 27.