The Erwin Schrr Odinger International Institute for Mathematical Physics Rayleigh{type Isoperimetric Inequality with a Homogeneous Magnetic Field Rayleigh-type Isoperimetric Inequality with a Homogeneous Magnetic Eld
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چکیده
We prove that the two dimensional free magnetic Schrr odinger operator, with a xed constant magnetic eld and Dirichlet boundary conditions on a planar domain with a given area, attains its smallest possible eigenvalue if the domain is a disk. We also give some rough bounds on the lowest magnetic eigenvalue of the disk. Running title: Magnetic Rayleigh-type inequality.
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تاریخ انتشار 1996