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 H xy , indexed by , are independent, uniformly distributed random variables if is less than the band width W , and zero otherwise. We prove that the time evolution of a quantum particle subject to the...

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Vydáno v:	Communications in mathematical physics Ročník 303; číslo 2; s. 509 - 554
Hlavní autoři:	Erdős, László, Knowles, Antti
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Berlin/Heidelberg Springer-Verlag 01.04.2011 Springer
Témata:	Algebra Classical and Quantum Gravitation Complex Systems Exact sciences and technology Linear and multilinear algebra, matrix theory Mathematical and Computational Physics Mathematical methods in physics Mathematical Physics Mathematics Nonlinear algebraic and transcendental equations Numerical analysis Numerical analysis. Scientific computation Numerical linear algebra Other topics in mathematical methods in physics Physics Physics and Astronomy Quantum Physics Relativity Theory Sciences and techniques of general use Theoretical Quantum Diffusion Heat Kernel Chebyshev Polynomial Anderson Model Band Matrice Band matrix Symmetric matrix Hamiltonians Eigenfunctions Eigenvectors Localization Random variable Mathematical physics
ISSN:	0010-3616, 1432-0916
On-line přístup:	Získat plný text
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