In Section 39.5, we found that the de Broglie equation relates the momentum of a particle to its wavelength through the relation p = h/A. If an ideal free particle has a precisely known momentum p, its wave function is an infinitely long sinusoi- dal wave of wavelength A = h/p, and the particle has equal probability of being at any point along the x axis (Fig. 39.18a). The wave function y for such a free particle moving along the x axis can be written as (x) = Aekx (40.4)

In Section 39.5, we found that the de Broglie equation relates the momentum of a particle to its wavelength through the relation p = h/A. If an ideal free particle has a precisely known momentum p, its wave function is an infinitely long sinusoi- dal wave of wavelength A = h/p, and the particle has equal probability of being at any point along the x axis (Fig. 39.18a). The wave function y for such a free particle moving along the x axis can be written as (x) = Aekx (40.4)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter28: Quantum Physics

Section: Chapter Questions

Problem 58P

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