Introduction To Quantum Mechanics
3rd Edition
ISBN: 9781107189638
Author: Griffiths, David J., Schroeter, Darrell F.
Publisher: Cambridge University Press
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Chapter 3.2, Problem 3.3P
To determine
Show that if
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Students have asked these similar questions
Show that if (h|ệh) = (Ôh\h) for all functions h (in Hilbert space),
then (flÔg) = (Ôf\g) for all f and g (i.e., the two definitions of "hermi-
tian"-Equations 3.16 and 3.17-are equivalent). Hint: First let h = f+ 8, and
then let h = f + ig.
(SIÊF) = (Ô ƒIS) for all f(x).
[3.16]
(FIÔg) = (Ô ƒ\g) for all f (x) and all g(x).
[3.17]
Consider a rectangular surface of length L and width W in the xy plane with its center at the origin:
Which of the following are valid expressions for the area vector of this surface? Check all that apply.
O (0,0, LW)
O (W, L, 0)
O (0,0, -LW)
O (LW, LW, 0)
O (0, LW, 0)
O (L, W, 0)
Let there be two operators, Aˆ =∂/∂ x and ∇2(x, y, z) = ∂2/∂2x +∂2/∂2y +∂2/∂2z. Which of the followingfunctions are eigenfunctions of Aˆ or ∇2 ? Which are the eigenvalues?a) ψ(x) = xab) ψ(x) = log(ax)c) ψ(x) = exp(ax)d) ψ(x) = cos(ax)e) ψ(x) = cos(ax) + isin(ax)
Chapter 3 Solutions
Introduction To Quantum Mechanics
Ch. 3.1 - Prob. 3.1PCh. 3.1 - Prob. 3.2PCh. 3.2 - Prob. 3.3PCh. 3.2 - Prob. 3.4PCh. 3.2 - Prob. 3.5PCh. 3.2 - Prob. 3.6PCh. 3.3 - Prob. 3.7PCh. 3.3 - Prob. 3.8PCh. 3.3 - Prob. 3.9PCh. 3.3 - Prob. 3.10P
Ch. 3.4 - Prob. 3.11PCh. 3.4 - Prob. 3.12PCh. 3.4 - Prob. 3.13PCh. 3.5 - Prob. 3.14PCh. 3.5 - Prob. 3.15PCh. 3.5 - Prob. 3.16PCh. 3.5 - Prob. 3.17PCh. 3.5 - Prob. 3.18PCh. 3.5 - Prob. 3.19PCh. 3.5 - Prob. 3.20PCh. 3.5 - Prob. 3.21PCh. 3.5 - Prob. 3.22PCh. 3.6 - Prob. 3.23PCh. 3.6 - Prob. 3.24PCh. 3.6 - Prob. 3.25PCh. 3.6 - Prob. 3.26PCh. 3.6 - Prob. 3.27PCh. 3.6 - Prob. 3.28PCh. 3.6 - Prob. 3.29PCh. 3.6 - Prob. 3.30PCh. 3 - Prob. 3.31PCh. 3 - Prob. 3.32PCh. 3 - Prob. 3.33PCh. 3 - Prob. 3.34PCh. 3 - Prob. 3.35PCh. 3 - Prob. 3.36PCh. 3 - Prob. 3.37PCh. 3 - Prob. 3.38PCh. 3 - Prob. 3.39PCh. 3 - Prob. 3.40PCh. 3 - Prob. 3.41PCh. 3 - Prob. 3.42PCh. 3 - Prob. 3.43PCh. 3 - Prob. 3.44PCh. 3 - Prob. 3.45PCh. 3 - Prob. 3.47PCh. 3 - Prob. 3.48P
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