螺旋磁场和最低特征值的半经典渐近性

IF 0.9 3区数学 Q2 MATHEMATICS

Documenta Mathematica Pub Date : 2023-10-16 DOI:10.4171/dm/922

Bernard Helffer, Ayman Kachmar

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Helical magnetic fields and semi-classical asymptotics of the lowest eigenvalue

We study the 3D Neuman magnetic Laplacian in the presence of a semi-classical parameter and a non-uniform magnetic field with constant intensity. We determine a sharp two term asymptotics for the lowest eigenvalue, where the second term involves a quantity related to the magnetic field and the geometry of the domain. In the special case of the unit ball and a helical magnetic field, the concentration takes place on two symmetric points of the unit sphere.

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来源期刊

Documenta Mathematica 数学-数学

CiteScore

1.60

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： DOCUMENTA MATHEMATICA is open to all mathematical fields und internationally oriented Documenta Mathematica publishes excellent and carefully refereed articles of general interest, which preferably should rely only on refereed sources and references.