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Statistics of Oscillator Strengths in Chaotic Systems

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arxiv cond-mat/9405052 v2 pith:2ND57I2J submitted 1994-05-20 cond-mat

Statistics of Oscillator Strengths in Chaotic Systems

classification cond-mat
keywords oscillatorstrengthssystemschaoticexpressionstatisticsuniversalanalytical
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The statistical description of oscillator strengths for systems like hydrogen in a magnetic field is developed by using the supermatrix nonlinear $\sigma$-model. The correlator of oscillator strengths is found to have a universal parametric and frequency dependence, and its analytical expression is given. This universal expression applies to quantum chaotic systems with the same generality as Wigner-Dyson statistics.

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