✍ Scribed by T Garavaglia; Jagannathan Gomatam
No coin nor oath required. For personal study only.
Orthogonal coordinate systems with helical geometry are constructed in euclidean 3-space and the Schrodinger equations in these coordinate systems are obtained. Of the two helical coordinate systems discussed, the external system consists of flat surfaces while the internal system consists of surfaces of constant Gaussian curvature. A singular cylinder separates these two systems.
📜 SIMILAR VOLUMES
An improved scheme to accelerate the convergence in the calculations of N-electron atoms, which is based on the exact method we proposed before in hyperspherical coordinates, is presented. The factors influencing the rate of convergence in both parts of expansions in wave function with the hypersphe
## Abstract We are interested in finding the sharp regularity with respect to the time variable of the coefficients of a Schrödinger type operator in order to have a well‐posed Cauchy Problem in __H__^∞^. We consider both the cases of the first derivative that breaks down at a point __t__~0~ and of
In this paper we study the existence of global solutions to the Cauchy problem Ž . for the matrix nonlinear Schrodinger equation MNLS in 2 space dimensions. A sharp condition for the global existence is obtained for this equation. This condition is in terms of an exact stationary solution of a semil
A new integral equation method for the numerical solution of the radial Schrödinger equation in one dimension, developed by the authors (1997, J. Comput. Phys. 134, 134), is extended to systems of coupled Schrödinger equations with both positive and negative channel energies. The method, carried out