Showing papers on "Elliptic coordinate system published in 1969"
8 citations
TL;DR: Polynomial wave functions in elliptical coordinates are suggested for molecules in this article, and a three-terms function approximates the ground state energy with high accuracy with respect to the energy of the molecules.
Abstract: Polynomial wave functions in elliptical coordinates are suggested for molecules Calculations have been made in the case of H2+ A three-terms function approximates the ground state energy with high accuracy
2 citations
TL;DR: In this paper, the authors formalized previous ideas on the possibility of creating solutions to electromagnetic wave problems in three dimensions from the electrostatic and magnetostatic solutions for the corresponding zero-frequency (i.e. static) problems in the same geometry.
Abstract: This paper coordinates and formalizes previous ideas on the possibility of creating solutions to electromagnetic wave (i.e. dynamic) problems in three dimensions from the electrostatic and magnetostatic solutions for the corresponding zero-frequency (i.e. static) problems in the same geometry. Extension of the method to the conical coordinate system is shown to be possible. Previous workers had included the rectangular, circular cylindrical, elliptic cylindrical, parabolic cylindrical, and spherical coordinate systems. It is further reported that it is impossible to extend the method to the other five coordinate systems in which the Laplace and Helmholtz equations, in three dimensions, are separable.
1 citations