Please join us for an informal seminar sponsored by the Atomic and
Molecular Physics Division, Harvard-Smithsonian Center for Astrophysics.
(Complete schedule at
http://www.cfa.harvard.edu/amp/events.html)
2:00 PM Monday May 23, 2011
Pratt Conference Room
60 Garden St., Cambridge, MA 02138
Canonical quantum potential scattering theory:
Scattering length equation for atom-atom collisions
Mahir S. Hussein
University of São Paulo
A new formulation of potential scattering in quantum mechanics is
developed using a close structural analogy between partial waves and
the classical dynamics of many non-interacting fields. Using a
canonical formalism we find non-linear first-order differential
equations whose solutions supply: the scattering length, effective
range and shape parameter. These equations can be easily solved and
may simplify typical calculations, as we illustrate for atom-atom and
neutron-nucleus scattering systems. Numerical examples arepresented
for the Cs + Cs, and He + He atomic systems and the n + 12C nuclear
system.
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