(a) Use the function (x) = Ax (a-x) (for 0 < x < a, otherwise 0) to...
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(a) Use the function Ψ(x) = Ax (a-x) (for 0 < x < a, otherwise 0) to get an upper bound on the ground state of the infinite square well.
(b) Generalize to a function of the form Ψ(x) = A[x (a-x)]P, for some real number p. What is the optimal value of p, and what is the best bound on the ground state energy? Compare the exact value.
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a First we normalize the function so that A 2 30a 5 The expectation valu...View the full answer
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Related Book For
Introduction To Quantum Mechanics
ISBN: 9781107189638
3rd Edition
Authors: David J. Griffiths, Darrell F. Schroeter
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