I need to find a matrix representation for operator [itex]A=x\frac{d}{dx}[/itex] using Legendre polinomials as base.(adsbygoogle = window.adsbygoogle || []).push({});

I would use [tex]a_{mn}=\int^{-1}_{-1}P_m(x)\,x\frac{d}{dx}\,P_n(x)\,dx[/tex], but I have the problem that Legendre polinomials aren't orthonormal [tex]\langle P_{i}|P_{l}\rangle=\delta_{il}\frac{2}{2i+1}[/tex].

I don't know if I must mutiply the integral of the [itex]a_{mn}[/itex] terms by the norm, because I have terms in n and m order.

**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!

# Finding a matrix representation for operator A

Loading...

Similar Threads - Finding matrix representation | Date |
---|---|

B Find the missing energy value given a set of data (Hypothetical question) | Mar 3, 2018 |

I Find the height up a ladder where a dropped bottle will break, using only two bottles | Feb 6, 2018 |

I Finding the inverse of a matrix using transformations? | Jun 26, 2017 |

Finding area with matrix | Nov 10, 2015 |

Finding an eigenvector of 3x3 matrix | Feb 1, 2013 |

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