Introduction To Quantum Mechanics
3rd Edition
ISBN: 9781107189638
Author: Griffiths, David J., Schroeter, Darrell F.
Publisher: Cambridge University Press
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Question
Chapter 9.3, Problem 9.6P
(a)
To determine
The potential energy above the floor in terms of
(b)
To determine
To solve the Schrodinger equation having potential
(c)
To determine
The first four allowed energies in joules.
(d)
To determine
The ground state energy of electron in
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Show that the uncertainty in the momentum of a ground-state harmonic oscillator is (where h is h-bar, m is the mass, and k is the spring constant).
Consider the wave function for the free particle, as shown. At what value of x is the particle most likely to be found at a given time? (a) at x = 0 (b) at small nonzero values of x (c) at large values of x (d) anywhere along the x axis
The first four Hermite polynomials of the quantum oscillator areH0 = 1, H1 = 2x, H2 = 4x2 − 2, H3 = 8x3 − 12x.
Let p(x) = 12x3 − 8x2 − 12x + 7. Using the basis H = {H0, H1, H2, H3}, find the coordinate vector ofp relative to H. That is, find [p]H.
This is a textbook question, not a graded question
Chapter 9 Solutions
Introduction To Quantum Mechanics
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