Form Factor of a Quantum Graph in a Weak Magnetic Field

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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LaTeX, 7 pages, no figure

Scientific paper

10.1016/S0375-9601(03)00496-1

Using periodic orbit theory, we evaluate the form factor of a quantum graph
to which a very weak magnetic field is applied. The first correction to the
diagonal approximation describing the transition between the universality
classes is shown to be in agreement with Pandey and Mehta's formula of
parametric random matrix theory.

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