2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/166635For a class of one-dimensional Schrodinger operators with polynomial potentials that includes Hermitian and PT-symmetric operators, we show that the zeros of scaled eigenfunctions have a limit disctibution in the complex plane as the eigenvalues tend to infinity. This limit distribution depends only on the degree of potential and on the boundary conditions.22 pages, 9 figuresMathematical Physics34B05; 34L20; 34M40; 34M60High energy eigenfunctions of one-dimensional Schrodinger operators with polynomial potentialstext