348-problem35 - ical harmonics are normalized so you don’t need to evaluate tedious integrals b What will be the distribution of results

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Chem. 540 Instructor: Nancy Makri PROBLEM 35 Consider a particle moving on a sphere, with wavefunction in spherical polar coordinates given by { } 1, 1 1, 1 ( , ) ( , ) ( , ) A Y Y θ φ + - Ψ = + , where lm Y is the usual spherical harmonic. a) Determine the value of A in order for Ψ to be normalized. (Notice that the individual spher-
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Unformatted text preview: ical harmonics are normalized, so you don’t need to evaluate tedious integrals.) b) What will be the distribution of results corresponding to individual measurements of 2 L and z L on many identically prepared systems?...
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This note was uploaded on 02/08/2012 for the course CHEM 540 taught by Professor Mccall during the Fall '08 term at University of Illinois, Urbana Champaign.

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