04-184 Pavel Exner

An isoperimetric problem for point interactions (27K, LaTeX) Jun 10, 04

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Abstract. We consider Hamiltonian with $N$ point interactions in $\R^d,\: d=2,3,$ all with the same coupling constant, placed at vertices of an equilateral polygon $\PP_N$. It is shown that the ground state energy is locally maximized by a regular polygon. The question whether the maximum is global is reduced to an interesting geometric problem.

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