The duality relationship (α+2)(ᾱ+2)=4 between the power law potentials with powers α and ᾱ is studied for the limiting cases α→±∞, which correspond to a hard spherical well and to a hard sphere scattering problem respectively. The related power law potential approaches the inverse square potential.
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© 1995 American Association of Physics Teachers.
1995
American Association of Physics Teachers
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