Sufficient Conditions for an Attractive Potential to Possess Bound States

DOI10.1063/1.1704255zbMath0132.43505OpenAlexW2033648530MaRDI QIDQ5342427

Francesco Calogero

Publication date: 1965

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

Full work available at URL: https://doi.org/10.1063/1.1704255

zbMATH Keywords

quantum theory

Related Items (10)

Generalization of the Calogero–Cohn bound on the number of bound states ⋮ Upper and lower limits for the number of bound states in a given central potential ⋮ Unnamed Item ⋮ Upper and lower limits for the number of S-wave bound states in an attractive potential ⋮ Upper limit on the number of bound states of the spinless Salpeter equation ⋮ The Woods-Saxon potential with point interactions ⋮ Local approximation to the critical parameters of quantum wells ⋮ Sufficient conditions for the existence of bound states in a potential without spherical symmetry ⋮ A sufficient condition for the existence of bound states in a potential ⋮ Unnamed Item

Cites Work

• A novel approach to elementary scattering theory
• On the Scattering of a Particle by a Static Potential
• On the Number of Bound States in a Central Field of Force

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