Abstract
We study a stationary velocity field, defined via the probability current density for an energy eigenstate of a quantum system, and its classical analog determined by the Hamilton-Jacobi equation. For classically integrable systems, the quantum-classical correspondence can be properly established by specifying constants of motion in addition to the Hamiltonian. For classically chaotic systems, the correspondence is broken down; the manifestation of classical chaos in the quantum domain is shown numerically to be the appearance of turbulence in the quantum velocity field.
Original language | English (US) |
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Pages (from-to) | 789-795 |
Number of pages | 7 |
Journal | Europhysics Letters |
Volume | 57 |
Issue number | 6 |
DOIs | |
State | Published - 2002 |
ASJC Scopus subject areas
- General Physics and Astronomy