Introduction To Quantum Mechanics
3rd Edition
ISBN: 9781107189638
Author: Griffiths, David J., Schroeter, Darrell F.
Publisher: Cambridge University Press
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Chapter 11.3, Problem 11.13P
To determine
The lifetime for each of the four
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Consider a composite state of spin j1 = s = 1/2 and angular momentum j2 = l = 2
of an electron. Find all the eigenstates of |j1, j2; j,m〉 as the linear combination of
product states of spin and angular momentum. Give the values of Clebsch-Gordon
coefficients you get from here.
Problem 3: Chemical potential of an Einstein solid.
Consider an Einstein solid for which both N and q are much greater than 1. Think of each
ocillator as a separate “particle".
a) Show that the chemical potential is
H = -kT In (**e)
b) Discuss this result in the limits N » q and N « q, concentrating on the question of how
much S increases when another particle carrying no energy is added to the system. Does
the formula make intuitive sense?
A system with j = 35 is in the state |ψ⟩= 1/√2 |35,35⟩ + 1/2 |35,34⟩ − 1/2 |35,−20⟩. The state is written in |j,m⟩ notation (m is the Jz projection).
Find ⟨Jz⟩ and ∆Jz for this state. Find ⟨Jx⟩ and ∆Jx for this state.
(Note: This must be done by hand with all work shown; also do this in bracket notation instead of working out the matrices)
Chapter 11 Solutions
Introduction To Quantum Mechanics
Ch. 11.1 - Prob. 11.1PCh. 11.1 - Prob. 11.2PCh. 11.1 - Prob. 11.3PCh. 11.1 - Prob. 11.4PCh. 11.1 - Prob. 11.5PCh. 11.1 - Prob. 11.6PCh. 11.1 - Prob. 11.7PCh. 11.1 - Prob. 11.8PCh. 11.1 - Prob. 11.9PCh. 11.3 - Prob. 11.10P
Ch. 11.3 - Prob. 11.11PCh. 11.3 - Prob. 11.12PCh. 11.3 - Prob. 11.13PCh. 11.3 - Prob. 11.14PCh. 11.3 - Prob. 11.15PCh. 11.3 - Prob. 11.16PCh. 11.4 - Prob. 11.17PCh. 11.5 - Prob. 11.18PCh. 11.5 - Prob. 11.19PCh. 11.5 - Prob. 11.20PCh. 11.5 - Prob. 11.21PCh. 11.5 - Prob. 11.22PCh. 11 - Prob. 11.23PCh. 11 - Prob. 11.24PCh. 11 - Prob. 11.25PCh. 11 - Prob. 11.26PCh. 11 - Prob. 11.27PCh. 11 - Prob. 11.28PCh. 11 - Prob. 11.29PCh. 11 - Prob. 11.30PCh. 11 - Prob. 11.31PCh. 11 - Prob. 11.33PCh. 11 - Prob. 11.35PCh. 11 - Prob. 11.36PCh. 11 - Prob. 11.37P
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