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Author Topic: Physicists?
Paul Goldner
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If I have a 3 by 3 matrix,

H=V( 1 0 0
0 1 0
0 0 2), where H is the hamiltonian, and V is an energy constant, how do I find the eigenfunctions and eigenvalues for H?

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Papa Moose
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quote:
. . . how do I find the eigenfunctions and eigenvalues for H?
I'd say your best bet is to post the question at Hatrack. Someone will probably know the answer.
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Paul Goldner
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THats what I'm hoping [Smile]
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fugu13
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Computation is pretty straightforward, this site should tell you what you need to know:

http://www.sosmath.com/diffeq/system/linear/eigenvalue/eigenvalue.html

note: having done matrix algebra myself, I find great pleasure in letting others do it [Wink] [Razz]

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Happy Camper
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*twitch*
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xnera
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I used to know how to do this. Man, I miss my math classes. Seriously. I loved math.

A quick google shows that most of the examples are for 2x2 matrices. Is it the 3x3 matrix that is causing a problem? If so, this Dr. Math article might be helpful.

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Paul Goldner
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Ok, calling for more help.

Does anyone know a better derivation from maxwell's equations of the speed of light then this one?

http://galileo.phys.virginia.edu/classes/109N/more_stuff/Maxwell_Eq.html

I'm pretty certain I can follow that, but if anyone wants to help out, I'd be glad of the help.

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King of Men
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It's a diagonal matrix, for God's sake. The eigenvalues are V, V, and 2V, no need for computation. If this is homework, you're in trouble.
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quidscribis
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Sheesh. I used to know how to do all that stuff. Decades ago. DO YOU HAVE ANY IDEA JUST HOW OLD YOU'RE MAKING ME FEEL?

THE NERVE OF YOU!

[/old age rant]

Whew! That was scary! [ROFL]

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Paul Goldner
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No need to be rude, KoM. It came up in one of my classes, but was never covered in that class, and I haven't taken linear algebra.
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