Introduction To Quantum Mechanics
3rd Edition
ISBN: 9781107189638
Author: Griffiths, David J., Schroeter, Darrell F.
Publisher: Cambridge University Press
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Chapter 1.5, Problem 1.7P
To determine
The derivation for Ehrenfest’s theorem which states that the expectation values obey classical laws.
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Which function is preferable to find the
magnitude of a complex number? *
sqrt()
cart2pol()
MATLAB does not support complex
arguments
abs()
All matrices are vectors but all vectors are
not matrices in MATLAB *
False
True
Compute 24 modulo 5. b = mod(24,5) *
b =6
b =4
b =5
b = 3
O O
Find the Laplacian of each of the following scalar functions.
a) V= x^2 + 2xy + 3z +4
b) Φ = sin[x] x sin[y] x sin[z]
c) W = (e^-5x)(sin[4y]) x cos[3z]
d²
Let  = Consider the orthonormal basis:
dx²
|1) = ₁(x) =
[2) = ₂(x) =
√sin(x)
L
2π
sin
and
(a) Find Â1) and Â12).
The operator  can be expressed in a matrix form as follows:
 = a₁1)(1| + a₁21)(2 + a21 2)(1| + a2212X<21.
(b) Use part (a) to compute: amn= (m|Â\n); m, n = 1,2.
Chapter 1 Solutions
Introduction To Quantum Mechanics
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