Asymptotic Distribution of Negative Eigenvalues for Three Dimensional Pauli Operators with Nonconstant Magnetic Fields | Zendy

Akihiro Shimomura | Zendy

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Asymptotic Distribution of Negative Eigenvalues for Three Dimensional Pauli Operators with Nonconstant Magnetic Fields

Author(s) -

Akihiro Shimomura

Publication year - 2002

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1145476340

Subject(s) - mathematics , eigenvalues and eigenvectors , pauli exclusion principle , distribution (mathematics) , mathematical analysis , pure mathematics , condensed matter physics , physics , quantum mechanics

We study the asymptotic distribution of negative eigenvalues of three dimensional Pauli operators with a two dimensional magnetic field and a three dimensional potential which decay to zero at infinity. For λ > 0 sufficiently small, we estimate the number of eigenvalues less than -λ of such Pauli operators.

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