[ An efficient method for solving parabolic partial differential equations is implemented in Mathematica using InterCall and an external C routine. As an application, the two-dimensional time-dependent Schroedinger's equation is solved for various initial conditions and potential functions.]
Four different numerical experiments are given: a double slit experiment; tunneling (barrier penetration); scattering of a particle from a cylindrical potential barrier; and interaction of two wave-packets
A particle (wave function) passes through a double slit showing wave-like interference patterns.
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Two particles (wave functions) collide with each other, showing wave-like interference during the collision.
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