Variational-Iterative Solution of Ground State for Central Potential

X iv : q ua nt - p h / 02 02 16 1 v 1 2 7 Fe b 20 02 Variational - Iterative Solution of Ground State for Central Potential

The newly developed iterative method based on Green function defined by quadratures along a single trajectory is combined with the variational method to solve the ground state quantum wave function for central potentials. As an example , the method is applied to discuss the ground state solution of Yukawa potential, using Hulthen solution as the trial function.

Existence of a ground state solution for a class of $p$-laplace‎ ‎equations

 According to a class of constrained‎ ‎minimization problems‎, ‎the Schwartz symmetrization process and the‎ ‎compactness lemma of Strauss‎, ‎we prove that there is a‎ ‎nontrivial ground state solution for a class of $p$-Laplace‎ ‎equations without the Ambrosetti-Rabinowitz condition‎.

Empirical Potential Energy Curve for the Ground State of CaH from a Multi-isotopologue Direct Potential Fit Analysis

Vibration-rotation and pure rotational data in the X2Σ+ ground state and electronic data from the A2Π – X2Σ+ and B2Σ+ − X2Σ+ transitions of CaH and CaD were used in the quantum-mechanical direct-potential-fit (DPF) analysis to determine an analytic potential energy function for the X2Σ+ ground state of CaH, and a radial correction function for the CaD isotopologue. The potential energy function...

Numerical solution of Klein-Gordon equation by using the Adomian's decomposition and variational iterative methods

Iterative Methods for Equilibrium Problems, Variational Inequalities and Fixed Points