Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
3rd Edition
ISBN: 9781107189638
Author: Griffiths, David J., Schroeter, Darrell F.
Publisher: Cambridge University Press
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Chapter 4.3, Problem 4.21P
To determine

The constants Alm and Blm, if the eigenfunctions are to be normalized.

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QUESTION 3: Abstract angular momentum operators: In this problem you may assume t commutation relations between the general angular momentum operators Ĵ, Ĵy, Ĵz. Use whenev possible the orthonormality of normalised angular momentum eigenstate |j, m) and that α = Îx±iĴy, Ĵ²|j,m) = ħ²j(j + 1)|j,m) and Ĵz|j,m) (a) Express ĴĴ_ in terms of Ĵ² and Ĵ₂. = ħmlj, m). (b) Using the result from (a) find the expectation value (j,m|εÎ_|j,m). (This is the nor squared of the state Î_|j,m).)
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