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DESCRIPTION:Sidney A. Coon \, NSF and New Mexico State University\n\nThe
inverse square potential (V(r)~1/r**2)\, first studied by Cote\,\na contem
porary of Isaac Newton\, is an interesting potential for\nnonrelativistic
quantum mechanics. It lies on the edge of the line\ndividing potentials wh
ich can be treated in the familiar manner and those\nwhich are singular.
Singular potentials have been studied for a long time\nbecause they can be
regarded as models for nonrenormalizable field\ntheories\, and\, more rec
ently\, as an element of the new paradigm of\neffective field theory metho
ds in nuclear physics. In this talk\, I will\ndemonstrate the mathematics
of the 1/r**2 potential\, including the\nanomalous (quantum mechanical) b
reaking of scale symmetry and a rigorous\ntreatment of absorption ("fall t
o the center"). Correct mathematics leads\nto a quantum mechanical underst
anding of the formation of anions\n(electrons bound by the dipole moment o
f a polar molecule) and of a very\nrecent dedicated experimental study of
this potential in the context of\nmanipulation of cold atoms.
DTSTART:20020426T200000Z
LOCATION:Physics Building\, Room 204
SUMMARY:A Singular Potential:from Theorist's Toy to Experimental Realizatio
n
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