Higher-order parametric level statistics in disordered systems

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 59, Issue 3, 1999, Pages 3720-3723

  Kanzieper, E ^a   Freilikher, V ^b  

^a ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

^b BAR ILAN UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0347131498     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.59.3720     Document Type: Article

References (27)

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23. The relation (Formula presented) can be obtained, for instance, by comparison of supersymmetric generating functionals derived for the model of coupled Hermitian random matrices with that 2 known for the microscopic problem of electron motion in disordered potential in the (Formula presented) limit of nonlinear, (Formula presented) model 56.
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25. More precisely, one should write (Formula presented) instead of (Formula presented) As far as we will be interested in the local regime, in which (Formula presented) is translationally invariant, one may omit E in both arguments.
26. The Hermite functions are fixed by the orthogonality relation (Formula presented) for the associated Hermite polynomials.
27. G. Szegö, Orthogonal Polynomials (American Mathematical Society, Providence, 1967).