Discuss some applications of Legendre polynomial in physics. Derive in detail Spherical harmonics Laguerre polynomials.

Discuss some applications of Legendre polynomial in physics. Derive in detail
Spherical harmonics Laguerre polynomials.

Expert Solution

There is so many application of Legendre polynomials in physics

In Q.M solving Hydrogen atom problem

Solving potentials problems on the spherical surface in electrodynamics.

The Legendre polynomials form a complete set of orthogonal functions and thus an orthonormal basis. We use potentials solving problems in Q.M

In multipole expansion in electrodynamics as we as so many use in boundary value problems

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genius_generous answered 2 years ago

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Discuss some applications of Legendre polynomial in physics. Derive in detail Spherical harmonics Laguerre polynomials.

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