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arXiv · 1508.02755

The lowest eigenvalue of Schr\"odinger operators on compact manifolds

Michael G. Dabkowski·Michael T. Lock
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Abstract

The lowest eigenvalue of the Schr\"odinger operator $-\Delta+\mathcal{V}$ on a compact Riemannian manifold without boundary is studied. We focus on the particularly subtle case of a sign changing potential with positive average.

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Michael G. Dabkowski, Michael T. Lock. 2015-08-11. The lowest eigenvalue of Schr\"odinger operators on compact manifolds. https://arxiv.org/abs/1508.02755

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