Hi, I am not seeking a "complete" treatment of distribution functions (like Gelfand or Schwartz). However, I would like some discussion in regards to multiplying delta functions together---especially in QM.(adsbygoogle = window.adsbygoogle || []).push({});

From the little I have discovered, distributions do not form an algebra, and thus, one cannot "legally" multiply delta functions together. However, we do this all the time:

[tex]

\delta(\mathbf{r}-\mathbf{r}_0) = \delta(x-x_0)\delta(y-y_0)\delta(z-z_0)

[/tex]

Also, I was wondering about a text that discussed indetailthe problem with "complete" sets of eigenfunctions in an infinite-dimensional space ([itex]L_2[/itex]) and normalizing to a delta function rather than to 1. I guess I am looking for better explanations than the typical "it just works" explanation. Do I need von Neumann's book?

Thanks.

**Physics Forums | Science Articles, Homework Help, Discussion**

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!

# Seeking Text On Distributions

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

Loading...

Similar Threads for Seeking Text Distributions |
---|

A On tempered distributions and wavefunctions |

I Effect of momentum distribution on probability density |

A Defining Krauss operators with normal distribution |

A Qubit error rate of QKD BB84 protocol |

A Quantum measurement operators with Poisson distribution |

**Physics Forums | Science Articles, Homework Help, Discussion**