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Eigenvalues And Eigenfunctions
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Quantum Mechanics: The Hydrogen Atom - University of …
www1.udel.eduThe eigenvalues (energies) are: E= Z2e2 8ˇ oaon2 = Z e4 8 2h2n2 n= 1;2;3;:: The constant ao is known as the Bohr Radius: 2. ao = 2 oh 2 ˇ e2 The Radial eigenfunctions are: Rnl(r) = " (n l 1)! 2n[(n+l)!]3 #1 2 2Z nao l+3 2 rle Zr nao L2l+1 n+l 2Zr nao The L2l+1 n+l 2Zr nao are the associated Laguerre functions. Those for n= 1 and n= 2 are ...