Consider a particle bound to a fixed center by a spherically symmetrical potential V(r). (a) Prove for

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Consider a particle bound to a fixed center by a spherically symmetrical potential V(r).

(a) Prove

for all s-states, ground and excited.

(b) Check this relation for the ground state of a three-dimensional isotropic oscillator, the hydrogen atom, and so on. (This relation has actually been found to be useful in guessing the form of the potential between a quark and an antiquark.)

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Modern Quantum Mechanics

ISBN: 9780805382914

2nd Edition

Authors: J. J. Sakurai, Jim J. Napolitano

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Question Posted: Aug 05, 2023 07:44 AM

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Consider a particle bound to a fixed center by a spherically symmetrical potential V(r). (a) Prove for

Question:

m dv ² = (2²) (4²) dr 1 (0) 1²:

Step by Step Answer:

To prove the given relation and then check it for specific cases lets break down the problem step by step a Proving the relation for all sstates ground and excited For a spherically symmetric potentia...View the full answer

Modern Quantum Mechanics

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