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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.
 Fall '08
 Mccall
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