Absolutely Continuous Spectra of Quantum Tree Graphs with Weak Disorder
نویسندگان
چکیده
منابع مشابه
Absolutely Continuous Spectra of Quantum Tree Graphs with Weak Disorder
We consider the Laplacian on a rooted metric tree graph with branching number K ≥ 2 and random edge lengths given by independent and identically distributed bounded variables. Our main result is the stability of the absolutely continuous spectrum for weak disorder. A useful tool in the discussion is a function which expresses a directional transmission amplitude to infinity and forms a generali...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2005
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-005-1468-5