Essential University Physics (3rd Edition)
Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Chapter 35, Problem 33P
To determine

To show: If ψ1 and ψ2 are solutions of the Schrödinger equation for the same energy E , then the linear combination aψ1+bψ2 is also a solution.

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Using the wave function and energy E, apply the Schrodinger equation for the particle within the box.
Solve the Schrodinger equation for a quantum particle of massm trapped in a one-dimensional infinite potential well (box) oflength L and obtain the expressions for wave-functions of theparticle.
The wave function for a quantum particle confined to moving in a one-dimensional box located between x = 0 and x = L is                                                        ψ(x) = A sin (nπx/L)Use the normalization condition on ψ to show that                                                               A = √2/L
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