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Calculation of the probabilities for transitions into the continuous spectrum by using the L 2 basis: A new method of solving the wave‐function renormalization problem
Author(s) -
Smelov G. V.
Publication year - 1992
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560430406
Subject(s) - tridiagonal matrix , normalization (sociology) , basis (linear algebra) , basis function , wave function , spectrum (functional analysis) , mathematics , renormalization , matrix (chemical analysis) , statistical physics , mathematical analysis , physics , mathematical physics , quantum mechanics , eigenvalues and eigenvectors , chemistry , geometry , chromatography , sociology , anthropology
A new method is presented for calculating the normalization factor for continuous spectrum functions in the L 2 basis. One variant of this method is applicable to operators given in the form of a tridiagonal matrix and does not require explicit calculation of the roots of the characteristic equation. The other variant of the method can be used in the general case, where after the basis is introduced, its length is gradually increased.