Virial ans\"atze for the Schr\"odinger Equation with a symmetric strictly convex potential. Part II

• URL: http://arxiv.org/abs/2108.09427v1
• Date: Sat, 21 Aug 2021 03:57:42 GMT
• Title: Virial ans\"atze for the Schr\"odinger Equation with a symmetric strictly convex potential. Part II
• Authors: S. P. Flego
• Abstract summary: We obtain ans"atze, free of parameters, for the eigenfunctions of the time-independent Schr"odinger equation with symmetric convex potentials. We study the behavior of the ans"atze regarding the degree of the potential and to the intervening coupling constant.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: Recently was introduced in the literature a procedure to obtain ans\"atze, free of parameters, for the eigenfunctions of the time-independent Schr\"odinger equation with symmetric convex potential. In the present work, we test this technique in regard to $x^{2\kappa}$-type potentials. We study the behavior of the ans\"atze regarding the degree of the potential and to the intervening coupling constant. Finally, we discuss how the results could be used to establish the upper bounds of the relative errors in situations where intervening polynomial potentials.

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