An electron in an infinite square well with L = 10 -12 m is moving at relativistic

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An electron in an infinite square well with L = 10^-12 m is moving at relativistic speed; hence, the momentum is not given by p = (2mE)^1/2.

(a) Use the uncertainty principle to verify that the speed is relativistic.

(b) Derive an expression for the electron’s allowed energy levels and

(d) By what fraction does E₁ computed in (c) differ from the nonrelativistic E₁?

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Modern Physics

ISBN: 9781429250788

6th Edition

Authors: Paul A. Tipler, Ralph Llewellyn

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Question Posted: Feb 14, 2023 08:14 AM

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An electron in an infinite square well with L = 10 -12 m is moving at relativistic

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a b The width of the well L is still an integer number of ...View the full answer

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