Explicit solution for a Gaussian wave packet impinging on a square barrier

Physics – Quantum Physics

Scientific paper

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To be published in J. Phys. A

Scientific paper

10.1088/0305-4470/36/9/313

The collision of a quantum Gaussian wave packet with a square barrier is
solved explicitly in terms of known functions. The obtained formula is suitable
for performing fast calculations or asymptotic analysis. It also provides
physical insight since the description of different regimes and collision
phenomena typically requires only some of the terms.

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