3. The wave function of a particle is given by: lp(0,9) >= C(12,2 > +3|2,1 > -2|2, –1 >) Where the eigen kets |6, m > are the spherical harmonics. Find: a) The normalization constant C. b) The probability that a measurement of L² gives6h?. c) The possible values of L; that can be obtained from a measurement and their respective probabilities. d) The expectation value of L, i.e < L >.
3. The wave function of a particle is given by: lp(0,9) >= C(12,2 > +3|2,1 > -2|2, –1 >) Where the eigen kets |6, m > are the spherical harmonics. Find: a) The normalization constant C. b) The probability that a measurement of L² gives6h?. c) The possible values of L; that can be obtained from a measurement and their respective probabilities. d) The expectation value of L, i.e < L >.
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![3. The wave function of a particle is given by:
lY(0,g) >= C(|2,2 > +3|2,1 > -2|2, –1 >)
Where the eigen kets |6,m > are the spherical harmonics. Find:
a) The normalization constant C.
b) The probability that a measurement of L² gives6h².
c) The possible values of Le that can be obtained from a measurement and their
respective probabilities.
d) The expectation value of L«, i.e< L.>.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc6d07a66-0d8a-4306-a23a-eab167733cc5%2Fabef55fa-cfee-4ec0-be28-5e6d0b06a096%2F0ae4osa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. The wave function of a particle is given by:
lY(0,g) >= C(|2,2 > +3|2,1 > -2|2, –1 >)
Where the eigen kets |6,m > are the spherical harmonics. Find:
a) The normalization constant C.
b) The probability that a measurement of L² gives6h².
c) The possible values of Le that can be obtained from a measurement and their
respective probabilities.
d) The expectation value of L«, i.e< L.>.
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