Regularized Semiclassical Approximation:
Figures from A uniform regularized semiclassical propagator for the 1/x^2
potential, R.S. Manning and G.S. Ezra, Phys. Rev. A. 53 (1996) 661.
Unregularized semiclassical and exact quantum propagators
for 1/x^2 potential
Regularized semiclassical and exact quantum propagators
for 1/x^2 potential
Regularized uniform semiclassical and exact quantum propagators
for 1/x^2 potential
The curves are indistinguishable to the eye (though actually
differ by about 1 percent).
rmanning@haverford.edu