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.

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter11: Quantum Mechanics: Model Systems And The Hydrogen Atom
Section: Chapter Questions
Problem 11.73E: What are the values of E, L, and Lz for an F8+ atom whose electron has the following wavefunctions,...
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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.
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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