Direct demonstration of the completeness of the eigenstates of the Schrödinger equation with local and nonlocal potentials bearing a Coulomb tail

DOI10.1063/1.2830976zbMath1153.81404arXiv0712.2651OpenAlexW2028447101MaRDI QIDQ3544609

N. Michel

Publication date: 8 December 2008

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

Full work available at URL: https://arxiv.org/abs/0712.2651

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) (2)-body potential quantum scattering theory (81U05)

Related Items

On radial Schrödinger operators with a Coulomb potential ⋮ On radial Schrödinger operators with a Coulomb potential: general boundary conditions ⋮ The rigged Hilbert space approach to the Gamow states

Cites Work

• A class of exactly solvable potentials. II: The three-dimensional Schrödinger equation
• Analytic Properties of Radial Wave Functions
• Exceptional points of non-Hermitian operators
• The rigged Hilbert space of the algebra of the one-dimensional rectangular barrier potential
• Nonlocal potentials, isolated states, and Levinson’s theorem
• Spectral singularities of non-Hermitian Hamiltonians and SUSY transformations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item