On Schrödinger operators modified by \(\delta\) interactions

DOI10.1016/j.aop.2023.169468arXiv2304.01326MaRDI QIDQ6087332

Fatih Erman, O. Teoman Turgut, Kaya Güven Akbaş

Publication date: 15 November 2023

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.01326

zbMATH Keywords

Green's functionSchrödinger operatorspectrumrenormalizationpoint interactionDirac \(\delta\) interaction

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Spinor and twistor methods applied to problems in quantum theory (81R25) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Perturbations in context of PDEs (35B20) Universality and renormalization of dynamical systems (37E20) Green's functions for elliptic equations (35J08) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The infinite square well with a point interaction: a discussion on the different parameterizations
• Expansions in generalized eigenfunctions of selfadjoint operators
• Schrödinger operators with singular interactions
• On the mathematical basis of the Dirac formulation of quantum mechanics
• Asymptotics of eigenvalues of the Schrödinger operator with a strong \(\delta\)-interaction on a loop
• Quantum waveguides
• Spectral properties of a symmetric three-dimensional quantum dot with a pair of identical attractive δ-impurities symmetrically situated around the origin
• Spectral properties of a symmetric three-dimensional quantum dot with a pair of identical attractive δ-impurities symmetrically situated around the origin II
• Heat Kernel Bounds on Hyperbolic Space and Kleinian Groups
• Path integrals for two‐ and three‐dimensional δ‐function perturbations
• Self-Adjoint Extension Schemes and Modern Applications to Quantum Hamiltonians
• A Krein-like formula for singular perturbations of self-adjoint operators and applications

This page was built for publication: On Schrödinger operators modified by \(\delta\) interactions