# The model magnetic Laplacian on wedges

@article{Popoff2013TheMM, title={The model magnetic Laplacian on wedges}, author={Nicolas Popoff}, journal={arXiv: Analysis of PDEs}, year={2013} }

We study a model Schrodinger operator with constan tmagnetic field on an infinite wedge with natural boundary conditions. This problem is related to the semiclassical magnetic Laplacian on 3d domains with edges. We show that the ground energy is lower than the one coming from the regular part of the wedge and is continuous with respect to the geometry. We provide an upper bound for the ground energy on wedges of small opening. Numerical computations enlighten the theoretical approach.

## 12 Citations

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On the magnetic laplacian with a piecewise constant magnetic field in $\mathbb{R}^3_+$

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We consider the Neumann realization of the magnetic laplacian in R 3+ , in the case in which the magnetic ﬁeld has a piecewise constant strength and a uniform direction. This operator is expected to…

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