A particle in a spherically symmetrical potential is known to be in an Eigen state of L

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A particle in a spherically symmetrical potential is known to be in an Eigen state of L₂ and L_z with Eigen values h2l (l + 1) and mh, respectively. Prove that the expectation values between | l m> states satisfy

[1(1+1)A² – m²h²] 2 (L;) = (L;) : |(L,) = (L,) = 0,

Interpret this result semi classically.

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Modern Quantum Mechanics

ISBN: 978-0201539295

Revised Edition

Authors: J.J Sakurai

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Question Posted: Apr 16, 2011 06:41 AM

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A particle in a spherically symmetrical potential is known to be in an Eigen state of L

Question:

[1(1+1)A² – m²h²] 2 (L;) = (L;) : |(L,) = (L,) = 0,

Step by Step Answer:

From L Lytiky 599 y and 3540 L4m clalm1 K21mtl mt1 Hence ...View the full answer

Modern Quantum Mechanics

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