Random matrices of circular symplectic ensemble

  • Karol Zyczkowski
Part II: Seminars
Part of the Lecture Notes in Physics book series (LNP, volume 457)


Random unitary matrices of symplectic ensemble describe statistical properties of time-dependent, periodical quantum systems with a halfinteger spin. We present a method of constructing random matrices typical to circular symplectic ensemble and show that the numerically generated unitary symplectic matrices display statistical properties of spectrum and eigenvectors according to the predictions of the random matrix theory.


Random Matrice Unitary Matrice Integer Spin Quaternion Matrix Level Repulsion 
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Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • Karol Zyczkowski
    • 1
  1. 1.Instytut Fizyki im. M. SmoluchowskiegoUniwersytet JagielloińskiKrakówPoland

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