The numerical spectrum of a one-dimensional Schrödinger operator with two competing periodic potentials
نویسندگان
چکیده
منابع مشابه
The numerical spectrum of a one-dimensional Schrödinger operator with two competing periodic potentials
We are concerned with the numerical study of a simple one-dimensional Schrödinger operator − 1 2 ∂xx + αq(x) with α ∈ R, q(x) = cos(x) + ε cos(kx), 0 ≤ ε ¿ 1 and k being irrational. This governs the quantum wave function of an independent electron within a crystalline lattice perturbed by some impurities whose dissemination induces long-range order only, which is rendered by means of the quasi-...
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ژورنال
عنوان ژورنال: Communications in Mathematical Sciences
سال: 2007
ISSN: 1539-6746,1945-0796
DOI: 10.4310/cms.2007.v5.n2.a13