Semiclassical form factor of matrix element fluctuations

Details Semiclassical form factor of matrix element fluctuations Semiclassical form factor of matrix element fluctuations

1995-08-17

arxiv.org/abs/chao-dyn/9508006v1

Nonlinear Sciences

Chaotic Dynamics

4 pages postscript and 3 postscript figures; use uudecode, gunzip and tar; Comments and requests to B.Eckhardt@kosy.icbm.uni-o

Scientific paper

10.1103/PhysRevLett.75.2300

We analyze within a semiclassical approximation the form factor for the fluctuations of quantum matrix elements around their classical average. We find two contributions: one is proportional to the form factor for the density of states, with an amplitude determined by the squared average of the matrix elements. The other is constant and related to the fluctuations of finite time classical trajectory segments around the phase space average. The results are illustrated for an observable in the quadratic Zeeman effect.

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