Wigner or non-wigner: That is the question

  • J. Zakrzewski
  • K. Dupret
  • D. Delande
Part II: Seminars
Part of the Lecture Notes in Physics book series (LNP, volume 457)


It is shown that, contrary to a common belief, statistical spectral properties of systems that exhibit classically chaotic behaviour may not obey the statistics typical for Random Matrix Theory. In particular, the nearest neighbor statistics for hydrogen atom in a strong static magnetic field does not obey the usual Wigner distribution. A simple model using a set of regular states coupled to a set of chaotic states modeled by a random matrix reproduces correctly the observed distributions both in the bound regime and for resonances above the ionization threshold.


Random Matrix Rydberg State Random Matrix Theory Semiclassical Limit Wigner Distribution 
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Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • J. Zakrzewski
    • 1
    • 2
  • K. Dupret
    • 1
  • D. Delande
    • 1
  1. 1.Laboratoire Kastler-BrosseUniversite Pierre et Marie CurieParisFrance
  2. 2.Instytut FizykiUniwersytet JagiellońskiKrakówPoland

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