hydrogen atom lecture

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othocaes 2016-03-29 14:00:53 -04:00
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Theory of the Hydrogen Atom
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Derived from first principles the wave equation of an electron in the hydrogen atom.
-Start with Dirac Notation
- Replace with known general functions
- transform to eigenvalue equation in position space
- replace pieces with function F and find derivatives
F = ∑ Cₖρ
pic 3 first take had factors that needed to be fixed
- Led to the Laguerre Polynomials
These are infinite, though, so
- Force Laguerre Polynomial solutions to truncate
-

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Developed Theory for The Hydrogen Atom