K. Chadan et N. Nafari, HOW TO IMPROVE THE CALOGERO BOUND, Comptes rendus de l'Academie des sciences. Serie 2, Mecanique, physique, chimie, sciences de l'univers, sciences de la terre, 318(2), 1994, pp. 153-158
In this Note, we show a method to improve the Calogero bound on the nu
mber of bound states of a potential which is purely attractive (negati
ve) and increasing. This method is general, and applies whenever the p
otential has everywhere a finite derivative, the origin excluded.