Weyl asymptotics for perturbed functional difference operators | Zendy

Ари Лаптев | Zendy; Lukas Schimmer | Zendy; Leon A. Takhtajan | Zendy

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Weyl asymptotics for perturbed functional difference operators

Author(s) -

Ари Лаптев,

Lukas Schimmer,

Leon A. Takhtajan

Publication year - 2019

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.5093401

Subject(s) - mathematics , eigenvalues and eigenvectors , operator (biology) , mathematical physics , spectrum (functional analysis) , pure mathematics , type (biology) , self adjoint operator , symmetry (geometry) , sigma , class (philosophy) , combinatorics , mathematical analysis , physics , quantum mechanics , hilbert space , geometry , ecology , biochemistry , chemistry , repressor , biology , transcription factor , gene , artificial intelligence , computer science

We consider the difference operator HW = U + U−1 + W, where U is the self-adjoint Weyl operator U = e−bP, b > 0, and the potential W is of the form W(x) = x2N + r(x) with N∈N and |r(x)| ≤ C(1 + |x|2N−ɛ) for some 0 0.We consider the difference operator HW = U + U−1 + W, where U is the self-adjoint Weyl operator U = e−bP, b > 0, and the potential W is of the form W(x) = x2N + r(x) with N∈N and |r(x)| ≤ C(1 + |x|2N−ɛ) for some 0 0.

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