Hello,(adsbygoogle = window.adsbygoogle || []).push({});

I believe this to be a rather simple problem but I am not quite sure if my thinking is correct.

We have a particle in a j=1 state of angular momentum J. I am first asked to find some eigenvectors of the matrix J(y):

[tex]J_{y}=\frac{\hbar}{\sqrt{2}i}\begin{pmatrix} 0 & -1 & 0\\ 1 & 0 & -1\\ 0 & -1 & 0 \end{pmatrix}[/tex]

Is this correct?

I got the eigenvalues of this matrix to be i√2, -i√2 and 0 which I believe correspond, respectively to,

[tex]\hbar, -\hbar, 0[/tex]

Though my main question (provided the above is correct) is that we are told the system is in a state of the J(y) corresponding to the positive non-zero eigenvector, we are then asked to find the probability of finding each value :

[tex]\hbar, -\hbar, 0[/tex]

of the J(z) angular momentum.

Surely this is just given by the normalized coefficients of the eigenvectors of J(z) and the fact it is in a state of J(y) is not relevant?

I can post the eigenvectors I attained for the J(y) matrix if required.

Thanks,

SK

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Successive Measurements of angular momentum

Loading...

Similar Threads - Successive Measurements angular | Date |
---|---|

I Some (unrelated) questions about the measurement problem | Mar 9, 2018 |

I Reversible Measurement | Feb 28, 2018 |

I Behavior of successive measurements | Apr 3, 2017 |

Success of SE simulations | Jan 13, 2008 |

**Physics Forums - The Fusion of Science and Community**