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Upper and lower limits for the number of bound states in a given central potential

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Abstract

Upper and lower limits for the number of bound states in a given central potential are obtained. They imply that for strongly attractive potentials the number of bound states of given angular momentum increases as the square root of the strength of the potential.

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Authors and Affiliations

  1. Istituto di Fisica dell' Università, Roma

    F. Calogero

  2. Istituto Nazionale di Fisica Nucleare, Sezione di Roma, Italy

    F. Calogero

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  1. F. Calogero
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Calogero, F. Upper and lower limits for the number of bound states in a given central potential. Commun.Math. Phys. 1, 80–88 (1965). https://doi.org/10.1007/BF01649591

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  • DOI: https://doi.org/10.1007/BF01649591

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