The Ultimate Bargmann's limit - American History Information Guide and Reference

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

$N_l \leq \frac{1}{2l+1} \frac{2m}{\hbar^2} \int_0^\infty r |V(r)|_{V<0}\, dr$

Professor Hagen says, "The Bargmann limit provides, if not the best bound, a pretty darn good one."

Note that the delta function potential attains this limit.

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Last updated: 05-11-2005 10:25:26