Phy5645/AngularMomentumProblem: Difference between revisions

Revision as of 22:00, 30 November 2009

Posted by Group 6:

A system is initally in the state:

\psi (\theta ,\phi )=1/{\sqrt {5}}Y_{1},-_{1}(\theta ,\phi )+{\sqrt {3/5}}Y_{1},_{0}(\theta ,\phi )+1/{\sqrt {5}}Y_{1},_{1}(\theta ,\phi )

Let us now find the value of the opperator

L_{z}

acting on the system as well as the probability of finding each value.

We may first rewright the notation for the system as follows;

|\psi >=1/{\sqrt {5}}|1,-1>+{\sqrt {3/5}}|1,0>+1/{\sqrt {5}}|1,1>

L_{z}

acting on the system produces three values for

l_{z}

;

l_{z}=-\hbar ,0,\hbar

@@ Line 1: / Line 1: @@
 Posted by Group 6:
-A system is initally in the state:
+:A system is initally in the state:
-:<math>psi(\theta,\phi)=1/sqrt{5}</math>
+:<math>\psi(\theta,\phi)=1/\sqrt{5}Y_1,-_1(\theta,\phi)+\sqrt{3/5}Y_1,_0(\theta,\phi)+1/\sqrt{5}Y_1,_1(\theta,\phi)</math>
+:Let us now find the value of the opperator <math>L_z</math> acting on the system as well as the probability of finding each value.
+:We may first rewright the notation for the system as follows;
+:<math>|\psi>=1/\sqrt{5}|1,-1>+\sqrt{3/5}|1,0>+1/\sqrt{5}|1,1></math>
+:<math>L_z</math> acting on the system produces three values for <math>l_z</math>;
+:<math>l_z=-\hbar, 0, \hbar </math>