The Calogero bound for nonzero angular momentum

DOI10.1063/1.531073zbMath0822.34074OpenAlexW2040832309MaRDI QIDQ4836929

Joachim Stubbe, K. Chadan, André Martin

Publication date: 5 October 1995

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

Full work available at URL: http://cds.cern.ch/record/258749

zbMATH Keywords

number of bound statesCalogero boundattractive monotonous potential

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)

Related Items (7)

Generalization of the Calogero–Cohn bound on the number of bound states ⋮ On the decrease of the number of bound states with the increase of the angular momentum ⋮ 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 ⋮ Local approximation to the critical parameters of quantum wells ⋮ Bargmann- and Calogero-type bounds for the Dirac equation ⋮ Generalization of the Birman–Schwinger method for the number of bound states

Cites Work

• Weak type estimates for singular values and the number of bound states of Schrödinger operators
• Upper and lower limits for the number of bound states in a given central potential
• Bounds on the eigenvalues of the Laplace and Schroedinger operators

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