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Explicit solution for a Gaussian wave packet impinging on a square barrier
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classification
quant-ph
keywords
barriercollisiongaussianpacketsquaretermswaveanalysis
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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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