Perturbation Theory for Almost-Periodic Potentials I: One-Dimensional Case
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DOI: 10.1007/s00220-019-03329-3
Abstract: We consider the family of operators $${H^{(\varepsilon)}:=-\frac{d^2}{dx^2}+\varepsilon V}$$H(ε):=-d2dx2+εV in $${\mathbb{R}}$$R with almost-periodic potential V. We study the behaviour of the integrated density of states (IDS) $${N(H^{(\varepsilon)};\lambda)}$$N(H(ε);λ) when $${\varepsilon\to 0}$$ε→0 and $${\lambda}$$λ is a fixed energy.… read more here.
Keywords: theory almost; varepsilon; perturbation theory; almost periodic ... See more keywords