ODPEVP: A program for computing eigenvalues and eigenfunctions and their first derivatives with respect to the parameter of the parametric self-adjoined Sturm–Liouville problem

Main Author: CPC, Mendeley
Other Authors: Chuluunbaatar, O., Gusev, A.A., Vinitsky, S.I., Abrashkevich, A.G.
Format: Dataset
Terbitan: Mendeley , 2009
Subjects:
Online Access: https:/data.mendeley.com/datasets/mb92rhmzdb
Daftar Isi:
  • Abstract A FORTRAN 77 program is presented for calculating with the given accuracy eigenvalues, eigenfunctions and their first derivatives with respect to the parameter of the parametric self-adjoined Sturm-Liouville problem with the parametric third type boundary conditions on the finite interval. The program calculates also potential matrix elements - integrals of the eigenfunctions multiplied by their first derivatives with respect to the parameter. Eigenvalues and matrix elements computed by the O... Title of program: ODPEVP Catalogue Id: AEDV_v1_0 Nature of problem The three-dimensional boundary problem for the elliptic partial differential equation with an axial symmetry similar to the Schrödinger equation with the Coulomb and transverse oscillator potentials is reduced to the two-dimensional one. The latter finds wide applications in modeling of photoionization and recombination of oppositively charged particles (positrons, antiprotons) in the magnet-optical trap [4], optical absorption in quantum wells [5], and channeling of likely charged particles in ... Versions of this program held in the CPC repository in Mendeley Data AEDV_v1_0; ODPEVP; 10.1016/j.cpc.2009.04.017 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)