Quantum Dynamics and Random Matrix Theory

Details Quantum Dynamics and Random Matrix Theory Quantum Dynamics and Random Matrix Theory

2002-01-28

arxiv.org/abs/nlin/0201053v1

Nonlinear Sciences

Chaotic Dynamics

6 pages

Scientific paper

10.1142/S0217979202011731

We compute the survival probability of an initial state, with an energy in a
certain window, by means of random matrix theory. We determine its probability
distribution and show that is is universal, i.e. caracterised only by the
symmetry class of the hamiltonian and independent of the initial state.

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