Computational Physics

28 Quantum scattering with a spherically symmetric potential

Lennard–Jones potential without cut-off is given by the phase shift for the

potential with cut-off plus a correction given by:

δl=

2 m


^2

k

∫∞

rmax

j^2 l(kr)VLJ(r)r^2 dr.

References

[1] A. Messiah,Quantum Mechanics, vols. 1 and 2. Amsterdam, North-Holland, 1961.
[2] S. E. Koonin,Computational Physics. Reading, Benjamin/Cummings, 1986.
[3] J. P. Toennies, W. Welz, and G. Wolf, ‘Molecular beam scattering studies of orbiting resonances
and the determination of Van der Waals potentials for H–He, Ar, Kr, and Xe and for H 2 –Ar, Kr
and Xe,’J. Chem. Phys., 71 (1979), 614–42.
[4] M. Abramowitz and I. A. Stegun,Handbook of Mathematical Functions. Washington DC,
National Bureau of Standards, 1964.