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Quantum Mechanical Scattering...
This JAVATM applet integrates the
Schrödinger wave equation.
The wave funcition Psi(x,t) is initially a guassian wave packet moving to the right.
The probability density p(x,t) = |Psi(x,t)|^2 is shown in black.
The real and imaginary parts of Psi(x,t) are shown in blue and green.
The potential energy function v(x) is shown in red.
Notes:
- If this applet runs too slow on your workstation, you might try the smaller version which runs faster.
- The boundary conditions are periodic, so that waves which exit to the right will return on the left.
- The algorithm for integrating the Schrödinger wave equation is from: Richardson, John L., Visualizing quantum scattering on the CM-2 supercomputer, Computer Physics Communications 63 (1991) pp 84-94