Explanation 1) Concept: Using differentiation, we can show that Eq. 38 - 24 is indeed a solution of Eq. 38 - 22 . 2) Calculations: a) Equation 38 - 24 gives ψ x = A e i k x + B e - i k x Differentiating it with x gives d ψ x d x = d d x A e i k x + B e - i k x d ψ x d x = i k A e i k x - i k B e - i k x Again differentiating gives d 2 ψ x d x 2 = d d x i k A e i k x - i k B e - i k x d 2 ψ x d x 2

11th Edition

ISBN: 9781119573968

Author: David Halliday

Publisher: WILEY

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Chapter 38, Problem 62P

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Eq.38-24 is indeed a solution of Eq.38-22.

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Chapter 38, Problem 61P

Chapter 38, Problem 63P

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Chapter 38 Solutions

Fundamentals Of Physics

Ch. 38 - Prob. 1Q Ch. 38 - Prob. 2Q Ch. 38 - Prob. 3Q Ch. 38 - Prob. 4Q Ch. 38 - Prob. 5Q Ch. 38 - Prob. 6Q Ch. 38 - Prob. 7Q Ch. 38 - Prob. 8Q Ch. 38 - Prob. 9Q Ch. 38 - Prob. 10Q

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Eq. 38 - 24 is indeed a solution of Eq. 38 - 22 .

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To show: Eq.38-24 is indeed a solution of Eq.38-22.

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Chapter 38 Solutions

To show:

Eq.38-24 is indeed a solution of Eq.38-22.