Reading:

Griffiths section 3.3.2; Boas 13.5

Problems for Review:

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1. (Dave) Griffiths example 3.8.
2. (Ben) Griffiths example 3.9.
3. (Ben) Express the polynomial as a sum of Legendre polynomials . Find the coefficients in the sum in two ways:
   1. Use the hint on Griffiths p. 140, footnote 10: start with the highest power of x and work down in finding the correct coefficients.
   2. Use the orthogonality relations 3.68 to find the coefficients. Again, remember that the degree of the polynomial indicates the highest l in the expansion; that is,

      

4. Boas example problem, section 13.5 (NOTE: We won't do this in class, but you will need to be comfortable with it to do assigned problems 5 and 6.)

Problems to Solve:

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1. Show that for l;SPMgt;0. HINT: consider .
2. Griffiths problem 3.17a.
3. Express the polynomial as a sum of Legendre polynomials . Find the coefficients in the sum in two ways:
   1. Use the hint on Griffiths p. 140, footnote 10: start with the highest power of x and work down in finding the correct coefficients.
   2. Use the orthogonality relations 3.68 to find the coefficients. Again, remember that the degree of the polynomial indicates the highest l in the expansion; that is,

      

4. Griffiths problem 3.18. Hint: use the identity

   

5. Griffiths problem 3.24.
6. Griffiths problem 3.25.

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