The finite one-dimensional wire problem

Stefan Kehrein , Christian Muenkel , Kay J. Wiese (1)

1 LPTENS - Laboratoire de Physique Théorique de l'ENS [École Normale Supérieure]

We discuss an elementary problem in electrostatics: What does the charge distribution look like for a free charge on a strictly one-dimensional wire of finite length? To the best of our knowledge this question has so far not been discussed anywhere. One notices that a solution of this problem is not as simple as it might appear at first sight.

Domaines: Mécanique statistique [cond-mat.stat-mech]; Enseignement de la physique [physics.ed-ph]; Physique Numérique [physics.comp-ph]

Stefan Kehrein, Christian Muenkel, Kay J. Wiese. The finite one-dimensional wire problem. 1998. ⟨hal-00283830⟩