Lowest energy band function for magnetic steps
نویسندگان
چکیده
We study the Schrödinger operator in plane with a step magnetic field function. The bottom of its spectrum is described by infimum lowest eigenvalue band function, for which we establish existence and uniqueness non-degenerate minimum. discuss curvature effects on localization properties ground states, among other applications.
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ژورنال
عنوان ژورنال: Journal of spectral theory
سال: 2022
ISSN: ['1664-039X', '1664-0403']
DOI: https://doi.org/10.4171/jst/419