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Absence of a Ground State for Bosonic Coulomb Systems with Critical Charge

Yukimi Goto
(Tokyo University)
Math/Phys Seminar
Tuesday, 3 October, 2017, at 16:15-17:00, in Aud. D4 (1531-219)
Abstract:
We consider bosonic Coulomb systems with N-particles and  K static nuclei. Let E(N, Z) denote the ground state energy  of a bosonic molecule of the total nuclear charge Z.  We prove that the system has no normalizable ground state  when E(N, N-1) = E(N-1, N-1).
Contact person: Jacob Schach Møller