Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 40, Problem 16P
To determine

Show that the wave function is a solution to the Schrodinger equation.

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A one-dimensional harmonic oscillator wave function is                                              ψ = Axe-bx2(a) Show that ψ satisfies as shown. (b) Find b and the total energy E. (c) Is this wave function for the ground state or for the first excited state?
Let Ψ (x, t) = (A / (a2 + x2)) exp (-i 2 π E t / h ) be a normalized solution to Schrodinger’s equationfor constants A, a, and E.(a) What is A in terms of a?(b) What is the potential function V(x)?(c) Evaluate Δx Δp. Is the uncertainty principle satisfied?
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