If I have something like:(adsbygoogle = window.adsbygoogle || []).push({});

$$\lvert \langle M \lvert \hat{L}_x+i\hat{L}_y \rvert M-1 \rangle \rvert ^2=c$$.

where ##c## is any old real number. If I undid the modulus square to find:

$$ \langle M \lvert \hat{L}_x+i\hat{L}_y \rvert M-1 \rangle=\pm \sqrt{c} $$ Would I not have to consider ##c## as being negative, positive as well as imaginary negative positive? So:

$$ \langle M \lvert \hat{L}_x+i\hat{L}_y \rvert M-1 \rangle=\pm i \sqrt{c} $$ as well.

I am trying to get to:

$$ \langle M \lvert \hat{L}_x \rvert M-1 \rangle=\frac{1}{2} \sqrt{c} $$

and:

$$ \langle M \lvert \hat{L}_y \rvert M-1 \rangle=-\frac{i}{2} \sqrt{c} $$

From Landau and Lifshitz QM 3ed page 89, and I am not following. Any tips will be appreciated.

Thanks,

KQ6UP

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

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

# A Phase factors and Modulus Square?

Tags:

Have something to add?

Draft saved
Draft deleted

Loading...

Similar Threads - Phase factors Modulus | Date |
---|---|

I Phase factors of eigenstates in time-dependent Hamiltonians | Nov 17, 2016 |

Additional Phase factors in SU(2) | Aug 31, 2015 |

Phase factors with eigenstates | Mar 15, 2014 |

Phase Factor of Spinors (what they represent) | Jun 22, 2012 |

The physical meaning of a phase factor | Oct 31, 2011 |

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