Eigenvalue estimates for the Aharonov-Bohm operator in a domain
classification
🧮 math-ph
math.MP
keywords
aharonov-bohmestimatesoperatorboundedcomplementcounterexamplediamagneticdomain
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We prove semi-classical estimates on moments of eigenvalues of the Aharonov-Bohm operator in bounded two-dimensional domains. Moreover, we present a counterexample to the generalized diamagnetic inequality which was proposed by Erdos, Loss and Vougalter. Numerical studies complement these results.
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