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 6.6, Problem 6.18P

(a)

To determine

Prove that the translation and inversion do not commute.

(b)

To determine

Show that the Eigen state of momentum and its parity are the same energy.

(c)

To determine

Show that the translation operator mixes 1πcos(px) and 1πsin(px) must be degenerate.

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