The Canonical Function Method and its applications in Quantum Physics

Details The Canonical Function Method and its applications in Quantum Physics The Canonical Function Method and its applications in Quantum Physics

2007-02-12

arxiv.org/abs/quant-ph/0702110v1

Physics

Quantum Physics

30 pages, 12 figures- To submit to Reviews of Modern Physics

Scientific paper

10.1016/j.physrep.2008.07.001

The Canonical Function Method (CFM) is a powerful method that solves the radial Schr\"{o}dinger equation for the eigenvalues directly without having to evaluate the eigenfunctions. It is applied to various quantum mechanical problems in Atomic and Molecular physics with presence of regular or singular potentials. It has also been developed to handle single and multiple channel scattering problems where the phaseshift is required for the evaluation of the scattering cross-section. Its controllable accuracy makes it a valuable tool for the evaluation of vibrational levels of cold molecules, a sensitive test of Bohr correspondance principle and a powerful method to tackle local and non-local spin dependent problems.

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