classes_winter09_113AID28_P_25_113A_W09

classes_winter09_113AID28_P_25_113A_W09 - Please normalize...

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Preview #25 (Chem113A W’09, due Wed. 3/04/09 at 12:05pm in class) Assigned reading: Engel 9.1—9.3 Attendance record : I am [ ] present at or [ ] absent from this class meeting (see date and time above). Name: ________________________ Forming study groups is permissible, but you must construct your solutions independently. By writing down my name, I confirm that I strictly obey the academic ethic code when doing this preview and my statement on attendance (above) is correct. Please write down the names of everyone who you worked with on this preview in the space above. [1] H-atom: the most important quantum system for chemists [1](a) Spherical coordinate.
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Unformatted text preview: Please normalize the functions exp[-r/a o ] in three-dimensional spherical coordinate, where constant a o is the Borh radius. (Hint: Example Problem 9.1. Hint: check answers with Ψ 100 ) [1](b) H-atom TISE. Please show by algebra that Ψ 100 on p. 164 indeed satisfies the time-independent Schrodinger equation (TISE) of the H-atom, Eq. (9.2). That is, please plug the functional form of Ψ 100 into Eq. (9.2) and show by algebra that LHS=RHS. What is the eigenvalue E ? Note: there could be typo(s) in Eq. (9.2)… sorry, I forgot what the typo(s) is (sign of aging?!). (Hint: check your answer of E with Eq. (9.8))...
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