A Self-adjointness Criterion for the Schrödinger Operator with Infinitely Many Point Interactions and Its Application to Random Operators

We prove the Schrödinger operator with infinitely many point interactions in R d ( d = 1 , 2 , 3 ) is self-adjoint if the support Γ of the interactions is decomposed into infinitely many bounded subsets { Γ j } j such that inf j ≠ k dist ( Γ j , Γ k ) > 0 . Using this fact, we prove the self-adjo...

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Veröffentlicht in:	Annales Henri Poincaré 2020-02, Vol.21 (2), p.405-435
Hauptverfasser:	Kaminaga, Masahiro, Mine, Takuya, Nakano, Fumihiko
Format:	Artikel
Sprache:	eng
Schlagworte:	Classical and Quantum Gravitation Dynamical Systems and Ergodic Theory Elementary Particles Mathematical and Computational Physics Mathematical Methods in Physics Operators (mathematics) Original Paper Perturbation Physics Physics and Astronomy Quantum Field Theory Quantum Physics Relativity Theory Theoretical
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