Open AccessTHE CALCULATING OF MEANINGS OF EIGEN FUNCTIONS OF DISCRETE SEMIBOUNDED FROM BELOW OPERATORS VIA METHOD OF REGULARIZED TRACES
Author(s) -
С.И. Кадченко,
С. Н. Какушкин
Publication year - 2012
Publication title -
vestnik samarskogo universiteta. estestvennonaučnaâ seriâ
Language(s) - English
Resource type - Journals
eISSN - 2712-8954
pISSN - 2541-7525
DOI - 10.18287/2541-7525-2012-18-6-13-21
Subject(s) - eigenfunction , laplace transform , operator (biology) , mathematics , perturbation (astronomy) , laplace operator , eigenvalues and eigenvectors , series (stratigraphy) , variable (mathematics) , schrödinger's cat , mathematical analysis , perturbation theory (quantum mechanics) , function (biology) , physics , quantum mechanics , paleontology , biochemistry , chemistry , repressor , biology , transcription factor , gene , evolutionary biology
The numerical method of nding of meanings of eigenfunctions of discrete semibounded from below operator is developed. Estimates of residuals of sums of series of Reley–Schrodinger of the ”weighed” corrections of the perturbation theory are gained. Approbation of the method on the example of Laplace operator with perturbed function of complex variable is produced.