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show that the wave function y=ln[b(v-xt)] is the solution of a wave function where b is constant

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter40: Quantum Mechanics

Section: Chapter Questions

Problem 16P

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Question

show that the wave function y=ln[b(v-xt)] is the solution of a wave function where b is constant

Expert Solution

Step 1

The linear wave equation in general,

Step 2

The given wave equation,

Differentiate equation (II) partially with respect to x.

Differentiate equation (III) partially with respect to x.

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