Hydrogenoid spectra with central perturbations

DOI10.1016/S0034-4877(19)30084-9zbMath1441.81086arXiv1807.01933WikidataQ126842488 ScholiaQ126842488MaRDI QIDQ2194268

Alessandro Michelangeli, Matteo Gallone

Publication date: 25 August 2020

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.01933

zbMATH Keywords

point interactionsself-adjoint extensionsWhittaker functionsKreĭn-Višik-Birman theoryquantum hydrogenoid HamiltoniansSchrödinger-Coulomb on half-line

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (4)

Intermediate statistics in singular quarter-ellipse shaped microwave billiards* ⋮ On creating new essential spectrum by self-adjoint extension of gapped operators ⋮ Self-adjoint extensions with Friedrichs lower bound ⋮ Faber–Krahn inequalities for Schrödinger operators with point and with Coulomb interactions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Self-adjoint extensions in quantum mechanics. General theory and applications to Schrödinger and Dirac equations with singular potentials.
• On radial Schrödinger operators with a Coulomb potential
• Self-adjoint realisations of the Dirac-Coulomb Hamiltonian for heavy nuclei
• On contact interactions realised as Friedrichs systems
• Die zulässigen Randbedingungen bei den singulären Eigenwertproblemen der mathematischen Physik. (Gewöhnliche Differentialgleichungen zweiter Ordnung.)
• Schrödinger operators on half-line with shrinking potentials at the origin
• Distributions and Operators
• Deficiency indices and singular boundary conditions in quantum mechanics
• Perturbation of self-adjoint operators by Dirac distributions
• A Characterization of the Friedrichs Extension of Sturm-Liouville Operators
• Discrete spectra for critical Dirac-Coulomb Hamiltonians
• Self-Adjoint Extensions of Dirac Operator with Coulomb Potential
• Eigenvalues of Robin Laplacians in infinite sectors
• A New Characterization of the Friedrichs Extension of Semibounded Sturm-Liouville Operators
• On spectral theory for Schrödinger operators with strongly singular potentials

This page was built for publication: Hydrogenoid spectra with central perturbations