Some new bounds on the number of bound states

  • K. Chadan
  • R. Kobayashi
Part of the Springer Tracts in Modern Physics book series (STMP, volume 119)


In this work, we generalize the well-known bounds of Glaser, Grosse, Martin, and Thirring on the number of bound states of a particle in a spherically symmetric potential. The new bounds fill the gap between the above bounds, and the Calogero bound.


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Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • K. Chadan
    • 1
  • R. Kobayashi
    • 2
  1. 1.Laboratoire de Physique Théorique et Hautes EnergiesUniversité de Paris XIOrsay CedexFrance
  2. 2.Department of MathematicsScience University of TokyoNoda, ChibaJapan

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