***Problem 4.39 Because the three-dimensional harmonic oscillator potential (Equa- tion 4.188) is spherically symmetric, the Schrödinger equation can be handled by separation of variables in spherical coordinates, as well as cartesian coordinates. Use the power series method to solve the radial equation. Find the recursion formula for the coefficients, and determine the allowed energies. Check your answer against Equation 4.189.

***Problem 4.39 Because the three-dimensional harmonic oscillator potential (Equa- tion 4.188) is spherically symmetric, the Schrödinger equation can be handled by separation of variables in spherical coordinates, as well as cartesian coordinates. Use the power series method to solve the radial equation. Find the recursion formula for the coefficients, and determine the allowed energies. Check your answer against Equation 4.189.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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***Problem 4.39 Because the three-dimensional harmonic oscillator potential (Equa-
tion 4.188) is spherically symmetric, the Schrödinger equation can be handled by
separation of variables in spherical coordinates, as well as cartesian coordinates.
Use the power series method to solve the radial equation. Find the recursion formula
for the coefficients, and determine the allowed energies. Check your answer against
Equation 4.189.

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