Invariant Schrödinger operators with point interactions at the vertices of a regular polyhedron

DOI10.1134/S0001434621090169OpenAlexW3208774968MaRDI QIDQ2666616

Vladimir V. Marchenko, Mark M. Malamud

Publication date: 23 November 2021

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434621090169

zbMATH Keywords

symmetry groupWeyl functionregular polyhedronSchrödinger operator with point interactions

Mathematics Subject Classification ID

Elliptic equations and elliptic systems (35Jxx) General theory of linear operators (47Axx) General mathematical topics and methods in quantum theory (81Qxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dissipative and nonunitary solutions of operator commutation relations
• Generalized resolvents and the boundary value problems for Hermitian operators with gaps
• Essential spectrum of Schrödinger operators with \(\delta\)-interactions on unbounded hypersurfaces
• Spectral theory of Schrödinger operators with infinitely many point interactions and radial positive definite functions
• Multivariate characteristic and correlation functions
• On real resonances for three-dimensional Schrödinger operators with point interactions
• A self-adjointness criterion for the Schrödinger operator with infinitely many point interactions and its application to random operators
• Radial positive definite functions and spectral theory of the Schrödinger operators with point interactions

This page was built for publication: Invariant Schrödinger operators with point interactions at the vertices of a regular polyhedron