1994/04/15 by Arjendu K. Pattanayak, William C. Schieve · 1 citation
Physics and Astronomy · #Quantum chaos and dynamical systems #Quantum, superfluid, helium dynamics #Spectroscopy and Quantum Chemical Studies #chao-dyn #nlin.CD
paper · pdf · doi:10.1103/physrevlett.72.2855
9 pages, TeX, 2 figures (not attached; hard copies available immediately on request). To appear in Physical Review Letters
arxiv created 1994/04/15 · openalex publication_date 1994/05/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The time-dependent variational principle using generalized Gaussian trial functions yields a finite dimensional approximation to the full quantum dynamics and is used in many disciplines. It is shown how these ``semiquantum'' dynamics may be derived via the Ehrenfest theorem and recast as an extended classical gradient system with the fluctuation variables coupled to the average variables. An extended potential is constructed for a one-dimensional system. The semiquantal behavior is shown to be chaotic even though the system has regular classical behavior and the quantum behavior had been assumed regular.