Exploring the Quantum Harmonic Oscillator: A Quest for a Discrete Basis

  • Thread starter Thread starter VinceT
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VinceT
Howdy, I'm Vince. I'm a big fan of math and physics. I have a BA in pure mathematics. By day I'm a software developer working on 3D graphics-y stuff, and in my spare time I'm trying to find a discrete basis for quantum physics. I've had a teensy bit of success by finding what I think may be a combinatoric expression for the probability distribution of the second energy level of a quantum harmonic oscillator (the first is just a binomial distribution). Next I want to do some related proofs and find an expression for the nth energy level of a QHO.

So, I'm a nerd, but I'm posting on Physics Forums, so that's a given.
 
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