Problems 7.11 For a particle with unit mass subject to the following potential: V(x) = h²x². Use the following trial wavefunction (x) = e¯ax2/2 and the variational principle to determine the best value a approximating the ground state wavefunction and the best approximation for the ground state energy.
Problems 7.11 For a particle with unit mass subject to the following potential: V(x) = h²x². Use the following trial wavefunction (x) = e¯ax2/2 and the variational principle to determine the best value a approximating the ground state wavefunction and the best approximation for the ground state energy.
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Transcribed Image Text:Problems
7.11
For a particle with unit mass subject to
the following potential:
V(x) = h²x².
Use the following trial wavefunction (x)
= e¯ax2/2 and the variational principle to
determine the best value a approximating
the ground state wavefunction and the
best approximation for the ground state
energy.
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