(a) Generalize Problem 8.2, using the trial wave function for arbitrary n. (b) Find the least upper...
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(a) Generalize Problem 8.2, using the trial wave function for arbitrary n.
(b) Find the least upper bound on the first excited state of the harmonic oscillator using a trial function of the form
(c) Notice that the bounds approach the exact energies as n → ∞ . Why is that? Plot the trial wave functions for n = 2, n = 3, and n = 4, and compare them with the true wave functions (Equations 2.60 and 2.63). To do it analytically, start with the identity
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Introduction To Quantum Mechanics
ISBN: 9781107189638
3rd Edition
Authors: David J. Griffiths, Darrell F. Schroeter
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