Virial ansätze for the Schrödinger Equation with a symmetric strictly convex potential. Part II

S. P. Flego

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arXiv · 2108.09427

Virial ansätze for the Schrödinger Equation with a symmetric strictly convex potential. Part II

S. P. Flego

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Abstract

Recently was introduced in the literature a procedure to obtain ansätze, free of parameters, for the eigenfunctions of the time-independent Schrödinger equation with symmetric convex potential. In the present work, we test this technique in regard to $x^{2κ}$-type potentials. We study the behavior of the ansätze 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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S. P. Flego. 2021-08-21. Virial ansätze for the Schrödinger Equation with a symmetric strictly convex potential. Part II. https://arxiv.org/abs/2108.09427

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