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Maximum entropy approach to Schrödinger's radial equation
Author(s) -
Garcias F.,
Casas M.,
Plastino A.
Publication year - 1995
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19955070406
Subject(s) - eigenvalues and eigenvectors , schrödinger equation , physics , principle of maximum entropy , entropy (arrow of time) , differential equation , mathematics , statistical physics , mathematical analysis , quantum mechanics , statistics
From the sole knowledge (at a finite number of points) of the numerical values of the potential V ( r ) corresponding to Schrödinger's radial equation, it is found that recourse to Information Theory (IT) concepts allows one to infer the pertinent wave functions (and eigenvalues) without attempting to solve the concomitant differential equation. Moreover, the underlying IT ideas allow for an analytical treatment that yields exact wave functions of the maximum (quantal) entropy form in a number of cases of interest.