Quantum ergodicity and localization in conservative systems: the Wigner band random matrix model
نویسندگان
چکیده
منابع مشابه
Quantum Diffusion and Eigenfunction Delocalization in a Random Band Matrix Model
We consider Hermitian and symmetric random band matrices H in d > 1 dimensions. The matrix elements Hxy, indexed by x, y ∈ Λ ⊂ Z, are independent, uniformly distributed random variables if |x − y| is less than the band width W , and zero otherwise. We prove that the time evolution of a quantum particle subject to the Hamiltonian H is diffusive on time scales t W . We also show that the localiza...
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ژورنال
عنوان ژورنال: Physics Letters A
سال: 1996
ISSN: 0375-9601
DOI: 10.1016/s0375-9601(96)00784-0