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 4.4, Problem 4.40P

(a)

To determine

The total spin of the particle of the z component and their respective probabilities.

(b)

To determine

The probability of each measurement of the total angular momentum squared of the electron.

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(A) Consider a particle in a cubic box. What is the degeneracy of the level it hasenergy three times greater than that of the lowest level? (Explain the combinations of n that led you to the answer given).  (B) The addition of sodium to ammonia generates a solvated electron that is trapped in a cavity of 0.3 nm in diameter, formed by ammonia molecules. The solvated electron can be modeled as a particle that moves freely inside the cubic box with ammonia molecules in the cube surface. If the length of the box is 0.3 nm, what energy is needed for the electron undergo a transition from a lower energy state to the subsequent state?
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