# POTHEA: A program for computing eigenvalues and eigenfunctions and their first derivatives with respect to the parameter of the parametric self-adjoined 2D elliptic partial differential equation

## Description

Abstract A FORTRAN 77 program is presented for calculating with the given accuracy eigenvalues, surface eigenfunctions and their first derivatives with respect to a parameter of the parametric self-adjoined 2D elliptic partial differential equation with the Dirichlet and/or Neumann type boundary conditions on a finite two-dimensional region. The program calculates also potential matrix elements that are integrals of the products of the surface eigenfunctions and/or the first derivatives of the surface... Title of program: POTHEA Catalogue Id: AESX_v1_0 Nature of problem Solutions of boundary value problems (BVPs) for the elliptic partial differential equations (PDEs) of the Schrödinger type find wide application in molecular, atomic and nuclear physics, for example, in three-dimensional tunneling of a diatomic molecule incident upon a potential barrier, fission model of collision of heavy ions, fragmentation of light nuclei, a hydrogen atom in magnetic field, photoionization of helium like atoms, one photon ionization of atoms, electron-impact ionization of mol ... Versions of this program held in the CPC repository in Mendeley Data AESX_v1_0; POTHEA; 10.1016/j.cpc.2014.04.014 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)