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An optimization problem for $δ'$ leaky stars

Exner, Pavel
arXiv (All) · Papers
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analysis-of-pdesmathematical-physicsquantum-physicsspectral-theory
We consider singular Schrödinger operators with an attractive $δ'$ interaction of strength $β$ supported by a star graph and prove that the ground-state eigenvalue is uniquely maximized by stars of the maximum symmetry. Two different proofs are presented, one for an even number of edges using a comp
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