Necessary and sufficient conditions for existence of bound states in a central potential

DOI10.1088/0305-4470/36/38/308zbMath1047.81516arXivmath-ph/0401023OpenAlexW2019062820MaRDI QIDQ4468593

Fabian Brau

Publication date: 10 June 2004

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

Full work available at URL: https://arxiv.org/abs/math-ph/0401023

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

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Light-like scattering in quantum gravity ⋮ Solving eigenproblem by duality transform ⋮ An indirect approach for quantum-mechanical eigenproblems: duality transforms ⋮ Exact solution of inverse-square-root potential \(V(r)=-\frac{\alpha}{\sqrt r}\) ⋮ The auxiliary field method in quantum mechanics ⋮ Bound states and critical behavior of the Yukawa potential ⋮ SEMIRELATIVISTIC HAMILTONIANS AND THE AUXILIARY FIELD METHOD ⋮ Upper bounds on the number of eigenvalues of stationary Schrödinger operators ⋮ Long-range potential scattering: Converting long-range potential to short-range potential by tortoise coordinate

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