Articulo
Comment on: "Ground state energies from converging and diverging power series expansions", <i>Ann. Phys</i>. 373 (2016): 456-469
Autor
Amore, Paolo
Fernández, Francisco Marcelo
Institución
Resumen
We compare two alternative expansions for finite attractive wells. One of them is known from long ago and is given in terms of powers of the strength parameter. The other one is based on the solution of the equations of the Rayleigh–Schrödinger perturbation theory in a basis set of functions of period L. The analysis of exactly solvable models shows that although the exact solution of the problem with periodic boundary conditions yields the correct result when L → ∞ the coefficients of the series for this same problem blow up and fail to produce the correct asymptotic expansion. Facultad de Ciencias Exactas Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas