2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/183449A numerical method of high precision is used to calculate the energy eigenvalues and eigenfunctions for a symmetric double-well potential. The method is based on enclosing the system within two infinite walls with a large but finite separation and developing a power series solution for the Schr$\ddot{o}$dinger equation. The obtained numerical results are compared with those obtained on the basis of the Zinn-Justin conjecture and found to be in an excellent agreement.Substantial changes including the title and the content of the paper 8 pages, 2 figures, 3 tablesQuantum PhysicsHigh Energy Physics - Theorytext