Scattering of plane wave on radially symmetrical potential, in two dimensions

Computation of wavefunctions using exact quantum and semiclassical approaches

Examples of two-dimensional potentials

Click on one of the plots below
to see results of calculation
Potential Energy Mass Short description
Gaussian repulsive potential exp(–0.04 r2) 1.3 20 Gaussian repulsive potential
Gaussian attractive potential –exp(–0.04 r2) 0.3 20 Gaussian attractive potential
near the barrier exp(–0.04 r2) 1.001 20 near the barrier
below the barrier exp(–0.04 r2) 0.7 20 below the barrier
modified Gaussian 0.1 r2exp(–0.04 r2) 1 20 modified Gaussian
modified Gaussian, larger energy 0.1 r2exp(–0.04 r2) 2 20 modified Gaussian, larger energy
inverted modified Gaussian, larger energy –0.1 r2exp(–0.04 r2) 2 20 inverted modified Gaussian, larger energy
Gaussian repulsive potential, large energy exp(–0.04 r2) 3 20 Gaussian repulsive potential, large energy
Gaussian attractive potential, large energy –exp(–0.04 r2) 3 20 Gaussian attractive potential, large energy
Yukawa potential –exp(–0.2 r)/r 0.3 20 Yukawa potential
Repulsive Yukawa potential exp(–0.2 r)/r 1 20 Repulsive Yukawa potential
Oscillating Gaussian potential cos(r) exp(–0.04 r2) 2 20 Oscillating Gaussian potential
Inverted oscillating Gaussian potential –cos(r) exp(–0.04 r2) 2 20 Inverted oscillating Gaussian potential

Mathematica programs



Tulane Results of work at Tulane University with M. Herman
Waste icons More Unpublished reports

Designed by A. Sergeev.