In this paper, we study the spectrum of the operator (0.1) on and a pseudodifferential operator of order strictly smaller than M. We prove that most of its eigenvalues admit the asymptotic expansion (0.2) Z is a function (symbol) and (the dual lattice of Gamma).

On the spectrum of the Schrodinger operator on Td: a normal form approach / Bambusi, Dario; Langella, Beatrice; Montalto, Riccardo. - In: COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0360-5302. - 45:4(2020), pp. 303-320. [10.1080/03605302.2019.1670677]

On the spectrum of the Schrodinger operator on Td: a normal form approach

Langella, Beatrice;
2020-01-01

Abstract

In this paper, we study the spectrum of the operator (0.1) on and a pseudodifferential operator of order strictly smaller than M. We prove that most of its eigenvalues admit the asymptotic expansion (0.2) Z is a function (symbol) and (the dual lattice of Gamma).
2020
45
4
303
320
https://arxiv.org/abs/1903.09449
Bambusi, Dario; Langella, Beatrice; Montalto, Riccardo
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/138111
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