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Andrea Serio: Optimal Ground State on Quantum Graphs with Delta Vertex Conditions

Time: Wed 2018-10-10 13.15 - 14.15

Location: Room 306, House 6, Kräftriket, Department of Mathematics, Stockholm University

Participating: Andrea Serio (SU)

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Abstract:
Quantum Graphs are Schrödinger operators defined on metric graphs that can be seen as a set of distinct real intervals joined together by coupling conditions. We are interested in optimizing the ground energy for fixed integral of the potential and fixed sum of the coupling function. We show how to construct the optimal configuration and present its properties.