(Untitled)

[houglet]

There is an example of a fairly obvious sequence in L^2 that when you apply the Gram-Schmidt process to you get the Legendre Polynomials. The Legendre Polynomials happen to be a major part of the general solution to the electric potential in spherical coordinates. Why? Why does this make any sense? Are they related? How? What the fuck

Comments

[teapotdome]

'I am a staunch opponent of the idea that mathematics should somehow be fun.'

-TW

[collecchia]

Yeah man: diff eq can SUCK IT. I can't even look at this last math problem set that was due...today. :-$

yo

[anonymous]

Man Juliet, I wish you went to Chicago and played on my college bowl team so you could dominate the math-physics (and Murakami)questions.
Observe:
The diagonal elements of the coupling matrix in an orthonormal n-energy-state system are fully perturbed matrix elements of this object. Adding first-order relativistic corrections to the momentum naturally creates the fine-structure version of this operator, since it is equal to one over the twice the system mass times the inner product of the momentum operator with itself, plus the potential operator. For ten points, identify this operator, the operation of which on the wave function is equal to operation of the energy operator on the wave function according to the Schrödinger equation, that is symbolized “h-hat” and that is named for a 19th Century Irish mathematician.

I know you know.

Re: yo

[houglet]

The Hamiltonian? maybe? I think...