Question: A Particle In Three Dimensions Has The Following Wave Function: 4(X, Y, Z) = N(X + Y + Z)E-R2/A2 Where A Is Real And N Is A. A particle in three dimensions has the following wave function: b(x, y, z) = N(x + y + z)e¬r*/a² where a is real and N is a normalization constant. (a) The observables L; and L? are measured; what are the probabilities of finding 0 and 2h?? Recal that Y°(0, 4) = cos 0, Y (0, 4) = FV 3 sin de±iv. 87 (b) Find the probabilities of all possible results of measurements of L2 and L, for this system.
Question: A Particle In Three Dimensions Has The Following Wave Function: 4(X, Y, Z) = N(X + Y + Z)E-R2/A2 Where A Is Real And N Is A. A particle in three dimensions has the following wave function: b(x, y, z) = N(x + y + z)e¬r*/a² where a is real and N is a normalization constant. (a) The observables L; and L? are measured; what are the probabilities of finding 0 and 2h?? Recal that Y°(0, 4) = cos 0, Y (0, 4) = FV 3 sin de±iv. 87 (b) Find the probabilities of all possible results of measurements of L2 and L, for this system.
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Transcribed Image Text:Question: A Particle In Three Dimensions Has The Following Wave
Function: 4(X, Y, Z) = N(X + Y + Z)E-R2/A2 Where A Is Real And N Is A..
A particle in three dimensions has the following wave function:
V(x, y, z) = N(r+y + 2)e-r*/a²
where a is real and N is a normalization constant.
(a) The observables L; and L? are measured; what are the probabilities of finding 0 and 2h?? Recal
that
3
Y°(0, 4) =
V
cos 0, Y(0, 4) = FV
4т
3
sin detiv.
(b) Find the probabilities of all possible results of measurements of L? and L, for this system.
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