Compute the exact amplitude for transmission and reflection of a particle from a rectangular potential barrier of

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Compute the exact amplitude for transmission and reflection of a particle from a rectangular potential barrier of height V0?and width d by matching the wave function and its derivative at the boundary points x = 0, d. Note that, for a barrier that is high and wide, the leading term has the form of eq. (15.16)

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with a multiplicative coefficient as anticipated in Footnote 1. Show that further corrections, which arise from the exponentially increasing solution in the classically forbidden region, are exponentially suppressed.

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The Physics of Energy

ISBN: 978-1107016651

1st edition

Authors: Robert L. Jaffe, Washington Taylor

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