A sufficient condition for the existence of bound states in a potential

DOI10.1063/1.531956zbMath0898.34078OpenAlexW2022440518MaRDI QIDQ4379240

K. Chadan, Reido Kobayashi

Publication date: 2 November 1998

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

Full work available at URL: https://doi.org/10.1063/1.531956

zbMATH Keywords

Schrödinger equationbound statesattractive potentialspurely

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items (1)

Local approximation to the critical parameters of quantum wells

Cites Work

• Upper and lower limits for the number of bound states in a given central potential
• On a sufficient condition of the existence of N-particle bound states
• Generalization of the Calogero–Cohn bound on the number of bound states
• Sufficient Conditions for an Attractive Potential to Possess Bound States
• On the Number of Negative Eigen-Values of a Singular Boundary value Problem
• 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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