Approximation of eigenvalues of Schrodinger operators¨
https://doi.org/10.17586/2220-8054-2018-9-2-145-161
Аннотация
It is known that convergence of l. s. b. closed symmetric sesquilinear forms implies norm resolvent convergence of the associated self-adjoint operators and thus, in turn, convergence of discrete spectra. In this paper, in both cases, sharp estimates for the rate of convergence are derived. An algorithm for the numerical computation of eigenvalues of generalized Schrodinger operators in¨ L2(R) is presented and illustrated by explicit examples; the mentioned general results on the rate of convergence are applied in order to obtain error estimates for these computations. An extension of the results to Schrodinger operators on metric graphs is sketched.
Об авторах
J. Brasche
Institut fu¨r Mathematik, Technische Universitat Clausthal
Германия
Германия
R. Fulsche
Institut fu¨r Analysis, Leibniz Universitat Hannover
Германия
Германия
Список литературы
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Рецензия
Для цитирования:
, . Наносистемы: физика, химия, математика. 2018;9(2):145–161. https://doi.org/10.17586/2220-8054-2018-9-2-145-161
For citation:
Brasche J.F., Fulsche R. Approximation of eigenvalues of Schrodinger operators¨. Nanosystems: Physics, Chemistry, Mathematics. 2018;9(2):145–161. https://doi.org/10.17586/2220-8054-2018-9-2-145-161
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