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Form Factor of a Quantum Graph in a Weak Magnetic Field

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arxiv nlin/0211006 v1 pith:YJ23O7QL submitted 2002-11-05 nlin.CD

Form Factor of a Quantum Graph in a Weak Magnetic Field

classification nlin.CD
keywords factorfieldformgraphmagneticquantumtheoryweak
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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