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Manuscript Title: Resonant or bound state solution of the Schrodinger equation in deformed or spherical potential.
Authors: A.T. Kruppa, Z. Papp
Program title: PSEUDO
Catalogue identifier: ACDZ_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 36(1985)59
Programming language: Fortran.
Computer: ES-1035.
Operating system: OS/VS1.
RAM: 456K words
Word size: 8
Peripherals: disc.
Keywords: Nuclear physics, Schrodinger equation, Resonant state, Potential spherical, Matrix elements of the Free green operator, Strum equation, Gamow state, Deformed potential, Harmonic oscillator Functions, Bound state, S matrix poles, Separable expansion of The potential, Shell model, Collective model.
Classification: 17.19, 17.20.

Nature of problem:
Purely outgoing solution of the one-particle Schrodinger equation is searched in special cases. The program PSEUDO (Potential Separable Expansion for Unbound Deformed Orbits) either calculates single particle resonant or bound state energies and wave functions in an axially or spherically symmetric potential or gives the well-depths of the potential belonging to a prescribed energy value (Sturmian problem).

Solution method:
A separable expansion of the original local potential is carried out on the harmonic oscillator basis. The zeros of the Fredholm determinant of the finite rank homogeneous Lippmann-Schwinger equation corresponding to the approximate potential are searched. The number of terms in the potential expansion is increased until convergence is reached.

The form factor of the potential is of the Saxon-Woods type (but easy to change). Only quadrupole and hexadecapole deformations are present. The spin of the particle is one half. The method does not work for broad proton resonances.

Running time:
The running time depends mostly on the size of the basis.