Bargmann's limit

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In quantum mechanics, Bargmann's limit, named for Valentine Bargmann, provides an upper bound on the number Nl of bound states in a system. It takes the form

Note that the Dirac delta function potential attains this limit.


  • Bargmann, Proc. Natl. Acad. Sci. 38 961 (1952)
  • Schwinger, Proc. Natl. Acad. Sci. 47 122 (1961)