Note on the numerical solution of the scalar Helmholtz equation in a   nanotorus with uniform Dirichlet boundary conditions
  This note describes the solution of the Helmholtz equation inside a nanotorus with uniform Dirichlet boundary conditions. The eigenfunction symmetry is discussed and the lower-order eigenvalues and eigenfunctions are shown. The similarity with the case of a long cylinder and with that of the vibrations of a circular elastic membrane is discussed. This similarity is used to propose a classification scheme of the eigenfunctions based on three indices. 
N.D. Nguyen (1), R. Evrard (1), Michael A. Stroscio (2) ((1)   D\'epartement de Physique B5, Universit\'e de Li\`ege, B-4000...
cond-mat.mes-hall