Reduced description of electric multipole potential in Cartesian coordinates

K. Hinsen (1) , B. Felderhof (1)

1 RWTH - Rheinisch-Westfälische Technische Hochschule Aachen University

The electrostatic potential due to a multipole moment of order l is expressed in terms of 2l+1 independent Cartesian multipole components. The multipole expansion of the electrostatic interaction energy between two charge distributions is reduced correspondingly to the minimum number of Cartesian components.

Domaines: Chimie théorique et/ou physique; Physique [physics]; Modélisation et simulation

K. Hinsen, B. Felderhof. Reduced description of electric multipole potential in Cartesian coordinates. Journal of Mathematical Physics, 1992, 33 (11), pp.3731-3735. ⟨10.1063/1.529869⟩. ⟨hal-02159851⟩