数理科学セミナー：Spectrum of the Hamiltonian with Poisson random point interactions

開催日時

2019年6月25日 16時 30分 ～ 2019年6月25日 17時 30分

場所

理学部３号館３－２１０

講演者

峯 拓矢（京都工芸繊維大学）

概要：
We consider the Hamiltonian with point interactions on \(\mathbf{R}^d\)(\(d=1,2,3\)), whose support is given by the Poisson configuration. We prove the self-adjointness of the Hamiltonian, and calculate its spectrum by the method of admissible potentials. We also give the numerical result of the corresponding integrated density of states in some special cases. This is a joint work with Prof. Masahiro Kaminaga (Tohoku Gakuin Univ.) and Prof. Fumihiko Nakano (Gakushuin Univ.).