Nonlinear Sciences – Chaotic Dynamics
Scientific paper
1996-12-03
J. Phys. A: Math. Gen. 29 (1996) 5429-5440
Nonlinear Sciences
Chaotic Dynamics
13 pages in plain Latex (1 figure available upon request)
Scientific paper
10.1088/0305-4470/29/17/017
Local parametric statistics of zeros of Husimi representations of quantum eigenstates are introduced. It is conjectured that for a classically fully chaotic systems one should use the model of parametric statistics of complex roots of Gaussian random polynomials which is exactly solvable as demonstrated below. For example, the velocities (derivatives of zeros of Husimi function with respect to an external parameter) are predicted to obey a universal (non-Maxwellian) distribution ${d P(v)}/{dv^2} = 2/(\pi\sigma^2)(1 + |v|^2/\sigma^2)^{-3},$ where $\sigma^2$ is the mean square velocity. The conjecture is demonstrated numerically in a generic chaotic system with two degrees of freedom. Dynamical formulation of the ``zero-flow'' in terms of an integrable many-body dynamical system is given as well.
No associations
LandOfFree
Parametric statistics of zeros of Husimi representations of quantum chaotic eigenstates and random polynomials does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Parametric statistics of zeros of Husimi representations of quantum chaotic eigenstates and random polynomials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Parametric statistics of zeros of Husimi representations of quantum chaotic eigenstates and random polynomials will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-253036