The joint energy distribution function for the Hamiltonian H = H 0 − i WW + for the one - channel case

نویسندگان

  • Hans-Jürgen Stöckmann
  • Petr Šeba
چکیده

A closed analytical expression is derived for the joint distribution function of the real and the imaginary parts of the eigenenergies of the operator H = H0 − iWW+ for the one-channel case, where H0 is taken from the Poissonian or one of the Gaussian ensembles with universality index β, and where the squared moduli |wα |2 of the components of W are assumed to be χ2-distributed with universality index β̄. In the strong coupling limit and for the special case β = β̄ the joint distribution function of the real parts of the eigenvalues of H becomes identical with the joint energy distribution function of the eigenvalues of H0.

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تاریخ انتشار 1997