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Quantum Mechanics: The Hydrogen Atom

QuantumMechanics:TheHydrogenAtom12thApri l2008I. TheHydrogenAtomIn thisnextsection,we willtietogethertheelements of thelastseveralsectionsto arrive at a completedescriptionof thede nitionof ,taken as a completebasis,we willbe abletoconstructapproximationsto morecomplexwave ,theworkof thelastfewlectureshasfundamentallybeenam iedat establishinga foundationformorecomplexproblemsin termsofexactsolutionsforsmaller, TheRadialFunctionWe willstartby reiteratingtheSchrodingerequationin 3 Dsphericalcoordi-natesas (referto any standardtextto getthetransformationfromCartesianto sphericalcoordinatereferencesystems).

Quantum Mechanics: The Hydrogen Atom 12th April 2008 I. The Hydrogen Atom In this next section, we will tie together the elements of the last several sections to arrive at a complete description of the hydrogen atom. This will culminate in the de nition of the hydrogen-atom orbitals and associated energies.

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