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18 lines
656 B
Plaintext
18 lines
656 B
Plaintext
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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.
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-Start with Dirac Notation
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- Replace with known general functions
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- transform to eigenvalue equation in position space
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- replace pieces with function F and find derivatives
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F = ∑ Cₖρᵏ
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pic 3 first take had factors that needed to be fixed
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- Led to the Laguerre Polynomials
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These are infinite, though, so
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- Force Laguerre Polynomial solutions to truncate
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