Separation of Variables Spherical Coordinates

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SUMMARY

The discussion centers on a homework problem involving the separation of variables in spherical coordinates, specifically question 1)b)iv) from a past exam. The participant initially miscalculated the result, arriving at 2l+1 instead of the expected value of 1. The error was identified as a simple arithmetic mistake of adding instead of subtracting. The participant expressed relief at resolving the issue, highlighting the importance of careful calculation in solving physics problems.

PREREQUISITES
  • Understanding of spherical coordinates in mathematics
  • Familiarity with the separation of variables technique
  • Basic knowledge of electrodynamics
  • Proficiency in arithmetic operations
NEXT STEPS
  • Review the method of separation of variables in spherical coordinates
  • Study the application of spherical harmonics in physics problems
  • Practice solving similar problems in electrodynamics
  • Explore common pitfalls in mathematical calculations
USEFUL FOR

Students studying physics, particularly those focusing on electrodynamics and mathematical methods in physics, as well as educators looking for examples of common student errors in problem-solving.

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Homework Statement



So I'm doing a question from one of my past exams as attached, there are no copy right issues with this document that I know of and have asked my lecturer who wrote the exam and he said I am welcome to upload it. The question is 1)b)iv), my attempt is attached. I end up with a 2l+1 where there should just be 1, can anybody tell me where I went wrong?

Homework Equations



Relevant equations are attached in the past exam

The Attempt at a Solution



My scan is too large to attach so please use the url provided. Thanks

http://tinypic.com/r/4ki9w5/8
 

Attachments

Physics news on Phys.org
Solved I was adding the two instead of subtracting them. I can do electrodynamics but I can't do simple addition. Time to go and cuff my primary school teacher.
 

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