Effective operators on an attractive magnetic edge
نویسندگان
چکیده
The semiclassical Laplacian with discontinuous magnetic field is considered in two dimensions. sign changing exactly distinct values and along a smooth closed curve, thereby producing an attractive edge. Various accurate spectral asymptotics are established by means of dimensional reduction involving microlocal phase space localization allowing to deal the discontinuity field.
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ژورنال
عنوان ژورنال: Journal de l'E?cole polytechnique
سال: 2023
ISSN: ['2429-7100', '2270-518X']
DOI: https://doi.org/10.5802/jep.236