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Manuscript Title: Numerical solution of the radial Schrodinger equation.
Authors: F. Beleznay
Program title: SCHROD
Catalogue identifier: ACQZ_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 3(1972)334
Programming language: Fortran.
Computer: CDC 3300.
Operating system: MASTER.
RAM: 10K words
Word size: 24
Keywords: Nuclear physics, General purpose, Schrodinger equation, Differential equation, Potential, Scattering, Band structure, Runge-kutta method, Theoretical methods, Muffin-tin.
Classification: 4.3, 17.16.

Nature of problem:
The subroutine SCHR solves the radial Schrodinger equation using a logarithmic mesh without transforming the independent variable. It is applicable in problems where a smooth expansion of the scale near the origin is advantageous.

Solution method:
Given the potential, the starting and the final value of the independent variable and the number of mesh points, the program calculates a suitable logarithmic mesh and integrates the radial Schrodinger equation using a special Runge-Kutta method. It is written as a subroutine with emphasis on its applicability in "muffin-tin" type band structure calculations.

Restrictions:
For a given energy the subroutine solves the Schrodinger equation for the angular momentum values lmin <=l <= lmax.

Running time:
Compile time is a few s, the execution time depends on the number of mesh used-roughly (number of mesh points) X (25 multiplication/division times + 15 addition times) X (number of different l values).