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Autor:
H. Alıcı
Publikováno v:
Volume: 49, Issue: 2 539-552
Hacettepe Journal of Mathematics and Statistics
Hacettepe Journal of Mathematics and Statistics
The Hermite pseudospectral method is one of the natural techniques for the numerical treatment of the problems defined over unbounded domains such as two-dimensional time-independent Schrödinger equation on the whole real plane. However, it is shown
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::101bd40a330da835e6de3fd37b358e79
https://doi.org/10.15672/hujms.459593
https://doi.org/10.15672/hujms.459593
Autor:
Tanfer Tanriverdi, H. Alıcı
Publikováno v:
Journal of Mathematical Chemistry. 58:1041-1057
In this article, we recursively obtain the general solution of the Schrodinger equation $$y_{\nu }''(x;\lambda )+[\lambda -\nu (\nu +1)v(x)]y_{\nu }(x;\lambda )=0$$ for non negative integer values of $$\nu$$ and an arbitrary values of the eigenvalue
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https://explore.openaire.eu/search/publication?articleId=doi_________::ab05bbf744bcad97eb95bb204dbd887e
https://doi.org/10.1007/s10910-020-01120-7
https://doi.org/10.1007/s10910-020-01120-7
Autor:
H. Alıcı, Tanfer Tanriverdi
Publikováno v:
Few-Body Systems. 61
Unfortunately, corrections to equations 3.19 and 3.20 were published incorrect in the original publication.
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https://explore.openaire.eu/search/publication?articleId=doi_________::c3c5c693af8742e4e20eae867289f1a1
https://doi.org/10.1007/s00601-020-01584-y
https://doi.org/10.1007/s00601-020-01584-y
Autor:
Tanfer Tanriverdi, H. Alıcı
Publikováno v:
Few-Body Systems. 61
In this study, we obtain the recursive general solution of the Schrodinger equation $$y_{\nu }''(x;\lambda )+[\lambda -\nu (\nu +1)v(x)]y_{\nu }(x;\lambda )=0$$ for some Poschl–Teller type potentials when $$\nu =0,1,2,\ldots $$ . As a by product of
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https://explore.openaire.eu/search/publication?articleId=doi_________::0e2317503b7707851467c7aeb14cd51d
https://doi.org/10.1007/s00601-020-01575-z
https://doi.org/10.1007/s00601-020-01575-z
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Akademický článek
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Publikováno v:
Journal of Scientific Computing. 71:804-821
The prolate spheroidal wave equation (PSWE) is transformed, using suitable mappings, into three different canonical forms which resemble the Jacobi, Laguerre and the Hermite differential equations. The eigenpairs of the PSWE are approximated with the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2d90e3ad3c74640cf6c8db6bc42e2f44
https://doi.org/10.1007/s10915-016-0321-7
https://doi.org/10.1007/s10915-016-0321-7
The eigenpairs of the angular Mathieu equation under the periodicity condition are accurately approximated by the Jacobi polynomials in a spectral-Galerkin scheme for small and moderate values of the parameter q. On the other hand, the periodic Mathi
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ef041b2fbdb1e4c3674524750706c812
https://aperta.ulakbim.gov.tr/record/29413
https://aperta.ulakbim.gov.tr/record/29413
Autor:
H. Alıcı
Publikováno v:
Computers & Mathematics with Applications. 69:466-476
Energy eigenvalues and wavefunctions of the two-dimensional time-independent Schrodinger equation on the whole real plane with a wide range of nonseparable potentials are obtained to a high accuracy by using Hermite pseudospectral methods. Comparison
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c380e6004353d95a7154c9ddbbcc3b3e
https://doi.org/10.1016/j.camwa.2015.01.002
https://doi.org/10.1016/j.camwa.2015.01.002