Consider the three-dimensional harmonic oscillator, for which the potential is V ( r ) = 1/2 m

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Consider the three-dimensional harmonic oscillator, for which the potential is

V ( r ) = 1/2 m ω² r²

(a) Show that the separation of variables in Cartesian coordinates turns this into three one-dimensional oscillators, and exploit your knowledge of the latter to determine the allowed energies.

Answer: E_n = ( n + 3/2 ) ħ ω

(b) Determine the degeneracy d ( n ) of E_n

Related Book For answer-question

Introduction to Electrodynamics

ISBN: 978-8120316010

3rd Edition

Authors: David J. Griffiths

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Posted Date: Jan 11, 2021 09:41 PM

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Consider the three-dimensional harmonic oscillator, for which the potential is V ( r ) = 1/2 m

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Introduction to Electrodynamics

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