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Manuscript Title: A program for the calculation of energy eigenvalues and eigenstates
of a Schrodinger equation. | ||

Authors: V. Fack, G. Vanden Berghe | ||

Program title: SCHROD | ||

Catalogue identifier: AADV_v1_0Distribution format: gz | ||

Journal reference: Comput. Phys. Commun. 39(1986)187 | ||

Programming language: Fortran. | ||

Computer: SIEMENS 7000 SERIES. | ||

Operating system: BS2000. | ||

RAM: 240K words | ||

Word size: 32 | ||

Keywords: Nuclear physics, Schrodinger equation, Energy eigenvalues and Eigenfunctions, Finite difference Approach, Reduction of band width, Theoretical methods, General purpose, Differential equations. | ||

Classification: 4.3, 17.16. | ||

Nature of problem:Calculation of the energy eigenvalues and eigenstates of the one dimensional Schrodinger equation d**2y(x) / dx**2 + (E - V(x))y(x) = 0 where E denotes the eigenvalue parameter and V(x) the potential. | ||

Solution method:A finite difference representation for d**2y(x) / dx**2 is introduced such that the Schrodinger equation is transformed into an algebraic eigenvalue problem. This problem can be reduced to the calculation of the eigenvalues and eigenvectors of a symmetric tridiagonal matrix, to which the NAG routine FO2BEF can be applied. | ||

Restrictions:It is assumed that the wavefunctions are restricted to obey the Dirichlet boundary condition y(x)=0 at some x-value R. | ||

Running time:The running time depends on the choice of the value R, on the number of terms in the finite difference representation for d**2y(x) / dx**2 and on the considered steplength h. |

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