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 5.1, Problem 5.9P
(a)
To determine
The four lowest-energy configurations and their corresponding energies and degeneracies of particles of spin
(b)
To determine
The four lowest-energy configurations and their corresponding energies and degeneracies of particles of spin
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TRQ. 3.1 Solve completely the following Quantum problem. Need full detailed answer, equations and if possible, theory/ literature.
Question: A particle of spin 1 and a particle of spin 1/2 are in a configuration for which the total spin is equal to 1/2. If one were to measure the z-component of the spin of the particle with spin = 1, what values might one get and what are the probabilities associated with those values?
Use Clebsch-Gordan table. Write the total spin state |s,ms> as linear combinations of |s1, ms1> |s2, ms2> states.
PROBLEM 2. Consider a spherical potential well of radius R and depth Uo,
so that the potential is U(r) = -Uo at r R.
Calculate the minimum value of Uc for which the well can trap a particle
with l = 0. This means that SE at Uo > Uc has at least one bound ground
state at l = 0 and E < 0. At Ug = Uc the bound state disappears.
PROBLEM 2 Calculate the probability distribution of momenta p for a ld
oscillator in the ground state (n = 0). Calculate the mean square dispersions
(x2), (p²), and the product (r2)(p²).
Chapter 5 Solutions
Introduction To Quantum Mechanics
Ch. 5.1 - Prob. 5.1PCh. 5.1 - Prob. 5.2PCh. 5.1 - Prob. 5.3PCh. 5.1 - Prob. 5.4PCh. 5.1 - Prob. 5.5PCh. 5.1 - Prob. 5.6PCh. 5.1 - Prob. 5.8PCh. 5.1 - Prob. 5.9PCh. 5.1 - Prob. 5.10PCh. 5.1 - Prob. 5.11P
Ch. 5.2 - Prob. 5.12PCh. 5.2 - Prob. 5.13PCh. 5.2 - Prob. 5.14PCh. 5.2 - Prob. 5.15PCh. 5.2 - Prob. 5.16PCh. 5.2 - Prob. 5.17PCh. 5.2 - Prob. 5.18PCh. 5.2 - Prob. 5.19PCh. 5.3 - Prob. 5.20PCh. 5.3 - Prob. 5.21PCh. 5.3 - Prob. 5.22PCh. 5.3 - Prob. 5.23PCh. 5.3 - Prob. 5.24PCh. 5.3 - Prob. 5.25PCh. 5.3 - Prob. 5.26PCh. 5.3 - Prob. 5.27PCh. 5 - Prob. 5.29PCh. 5 - Prob. 5.30PCh. 5 - Prob. 5.31PCh. 5 - Prob. 5.32PCh. 5 - Prob. 5.33PCh. 5 - Prob. 5.34PCh. 5 - Prob. 5.35PCh. 5 - Prob. 5.36PCh. 5 - Prob. 5.38PCh. 5 - Prob. 5.39P
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