Open AccessBidimensional Sturmian basis for bound states and collision problems
Author(s) -
J M Randazzo,
L. U. Ancarani
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1412/13/132043
Subject(s) - basis (linear algebra) , eigenvalues and eigenvectors , collision , mathematics , bound state , spectral properties , mathematical analysis , statistical physics , physics , geometry , quantum mechanics , computer science , computer security , astrophysics
Synopsis We present a novel spectral approach to deal both with bound states and with stationary continuum waves associated to collision problems. It is based on the definition of a two dimensional radial basis which replaces the combination of single particle basis sets as employed in most of the usual spectral methods. The new basis elements are externally defined as solutions of a generalized Sturmian eigenvalue equation containing the main properties of the physical problem under consideration.