Abstract
Under certain assumptions (including d = ≥) we prove that the spectrum of a scalar operator in L2(Rd) Aε(x, hD) = A0(hD) + εB(x, hD), covers interval (Τ - ε, Τ + ε), where A0 is an elliptic operator and B(x, hD) is a periodic perturbation, ε = O(hx), x < 0. Further, we consider generalizations.
Cite
CITATION STYLE
APA
Ivrii, V. (2019). Bethe-sommerfeld conjecture in semiclassical settings. In Microlocal Analysis, Sharp Spectral Asymptotics and Applications V: Applications to Quantum Theory and Miscellaneous Problems (pp. 619–639). Springer International Publishing. https://doi.org/10.1007/978-3-030-30561-1_36
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