Skip to primary content

Physics Town

continues

Physics Town

Main menu

  • A-Maths Wars
  • Somehow Amazing
  • Ken Chan
  • Physics City
  • Physics Country

Post navigation

← Previous Next →

Octupole Expansion

Posted on April 6, 2008 by rpflee

I have used a whole month to do this derivation.

.

\displaystyle{V(\mathbf{R}) = ... + \frac{1}{4 \pi \varepsilon_0} \frac{3}{2 |\mathbf R|^4} \sum_{ijk} \hat R_i \hat R_j \hat R_k Q_{ijk} + ... }

.

\displaystyle{Q_{ijk} = \int_{\mathbf r} \left[ \delta_{ij} ( r^2 - 5 r_i r_j + \frac{10}{3} r_i r_j \delta_{jk} ) r_k - |\epsilon_{ijk}| 10 r_i r_j r_k \right] \rho(\mathbf r) d^3 r}

.

But I still do not know whether it is correct or not.

.

.

2008.04.06 Sunday \copyright CHK^2

Related

This entry was posted in amaths-wars, Barton Zwiebach, Mathematician, Physicist by rpflee. Bookmark the permalink.
Blog at WordPress.com.
  • Follow Following
    • Physics Town
    • Already have a WordPress.com account? Log in now.
    • Physics Town
    • Customize
    • Follow Following
    • Sign up
    • Log in
    • Copy shortlink
    • Report this content
    • View post in Reader
    • Manage subscriptions
    • Collapse this bar