Marching toward the eigenvalues: The Canonical Function Method and the Schrödinger equation

Details Marching toward the eigenvalues: The Canonical Function Method and the Schrödinger equation Marching toward the eigenvalues: The Canonical Function Method and the Schrödinger equation

2010-02-28

arxiv.org/abs/1003.0184v1

Physics

Quantum Physics

10 pages, 9 figures. To submit to American Journal of Physics

Scientific paper

The Canonical Function Method (CFM) is a powerful accurate and fast method
that solves the Schr\"{o}dinger equation for the eigenvalues directly without
having to evaluate the eigenfunctions. Its versatility allows to solve several
types of problems and in this work it is applied to the solution of several 1D
potential problems, the 3D Hydrogen atom and the Morse potential.

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