Quantum chaos in terms of Bohm trajectories

✍ Scribed by Hua Wu; D.W.L. Sprung

• Book ID: 104337795
• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 411 KB
• Volume: 261
• Category: Article
• ISSN: 0375-9601
• DOI: 10.1016/s0375-9601(99)00629-5

✦ Synopsis

Within Bohm's interpretation of quantum mechanics, the classical definition of chaos can be applied to particle trajectories. We show that a one-dimensional system is not chaotic, while a generic two-dimensional system may be, and the sum of the Lyapunov exponents for a Bohm orbit is zero. We also argue that the quantum vortex is the main factor driving chaotic motion.