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arxiv: 1307.7091 · v1 · pith:JBPLVEQAnew · submitted 2013-07-26 · 🧮 math.SP · math-ph· math.MP

Improved Berezin-Li-Yau inequalities with magnetic field

classification 🧮 math.SP math-phmath.MP
keywords fieldmagneticberezin-li-yauboundboundedconstantdirichletdomains
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In this paper we study the eigenvalue sums of Dirichlet Laplacians on bounded domains. Among our results we establish an improvement of the Li-Yau bound in the presence of a constant magnetic field.

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