(a) Prove the following commutator identities: (b) Show that (c) Show more generally that for any function...

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(a) Prove the following commutator identities:

(b) Show that

for any function f(x) that admits a Taylor series expansion.

(d) Show that for the simple harmonic oscillator

Use Equation 2.54.

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Introduction To Quantum Mechanics

ISBN: 9781107189638

3rd Edition

Authors: David J. Griffiths, Darrell F. Schroeter

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Question Posted: Jan 24, 2023 07:06 AM

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(a) Prove the following commutator identities: (b) Show that (c) Show more generally that for any function...

Question:

[Â+ B.C] = [A.C] + [B.C]. [AB, C] = Â [B.C] + [Â, C] B. (3.64) (3.65)

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Introduction To Quantum Mechanics

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