RT Journal Article
T1 Continuum discretization using orthogonal polynomials
A1 Pérez Bernal, Francisco
A1 Martel Bravo, Ismael
A1 Arias Carrasco, José Miguel
A1 Gómez Camacho, Joaquín
AB A method for discretizing the continuum by using a transformed harmonic oscillator basis has recently beenpresented @Phys. Rev. A 63, 052111 ~2001!#. In the present paper, we propose a generalization of that formalismwhich does not rely on the harmonic oscillator for the inclusion of the continuum in the study of weaklybound systems. In particular, we construct wave functions that represent the continuum by making use offamilies of orthogonal polynomials whose weight function is the square of the ground state wave function,expressed in terms of a suitably scaled variable. As an illustration, the formalism is applied to one-dimensionalMorse, Po¨schl-Teller, and square well potentials. We show how the method can deal with potentials havingseveral bound states, and for the square well case we present a comparison of the discretized and exactcontinuum wave functions.
PB American Physical Society
SN 1050-2947
SN 1094-1622 (electrónico)
YR 2003
FD 2003
LK http://hdl.handle.net/10272/8133
UL http://hdl.handle.net/10272/8133
LA eng
NO Pérez Bernal, F., Martel Bravo, I., Arias Carrasco, J.M., Gómez Camacho, J.: "Continuum discretization using orthogonal polynomials". Physical Review A. Vol. 67, 052108 (2003). ISSN 1050-2947
DS Repositorio Institucional de la Universidad de Huelva
RD 30 may 2026