I'm new to QM, but I've had a linear algebra course before. However I've never dealt with vector spaces having infinite dimension (as far as I remember).(adsbygoogle = window.adsbygoogle || []).push({});

My QM professor said "the eigenvalues of the position operator don't exist". I've googled "eigenvalues of position operator", checked into wikipedia's and wolfram's pages but they seem to only talk briefly on eigenfunctionsof that operator.

I understand that the basis of the vector space spanned by all possible wave functions ##\Psi##'s has infinite dimension so I expect that if I want to write the position operator ##\hat x## under matrix form, it would be an infinite matrix. But I don't think this implies that the eigenvalues don't exist (I guess they are infinite?).

Why are the eigenvalues non existing and what does that mean exactly?

Thanks...

**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!

# Eigenvalues of the position operator

Loading...

Similar Threads - Eigenvalues position operator | Date |
---|---|

I Probabilities for degenerate eigenvalues? | Jan 29, 2018 |

I Eigenvectors - eigenvalues mappings in QM | Jan 1, 2018 |

Eigenvalues of positions in atomic orbitals | Mar 10, 2015 |

Expecting the possible event of zero probability | Nov 8, 2014 |

Eigenvalue of position operator and delta function. | Aug 31, 2012 |

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