Zobrazeno 1 - 10
of 101
pro vyhledávání: '"Abdulaziz D. Alhaidari"'
Publikováno v:
AppliedMath, Vol 3, Iss 2, Pp 461-467 (2023)
An algebraic system is introduced which is very useful for performing scattering calculations in quantum field theory. It is the set of all real numbers greater than or equal to −m2 with parity designation and a special rule for addition and subtra
Externí odkaz:
https://doaj.org/article/e6ba8b23af8b4e9290338997b7489801
Autor:
Abdulaziz D. Alhaidari, Ibsal A. Assi
Publikováno v:
Physics, Vol 4, Iss 3, Pp 1067-1080 (2022)
We obtain an analytic approximation of the bound states solution of the Schrödinger equation on the semi-infinite real line for two potential models with a rich structure as shown by their spectral phase diagrams. These potentials do not belong to t
Externí odkaz:
https://doaj.org/article/c22990858caf49a18b3c465a62ae3e68
Publikováno v:
Reports on Mathematical Physics. 87:313-327
We obtain a class of exact solutions for a Bessel-type differential equation , which is a five-parameter linear ordinary differential equation of the second order with irregular (essential) singularity at the origin. The solutions are obtained using
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8d118bc8bdda26c1fdbfa6c8556ed37a
https://doi.org/10.1016/s0034-4877(21)00039-2
https://doi.org/10.1016/s0034-4877(21)00039-2
Autor:
Abdulaziz D. Alhaidari
Publikováno v:
Theoretical and Mathematical Physics. 206:84-96
We introduce an exponentially confining potential well that can be used as a model to describe the structure of a strongly localized system. We obtain an approximate partial solution of the Schrodinger equation with this potential well where we find
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::18a181f3ea7f9eef169516acab8dccf1
https://doi.org/10.1134/s0040577921010050
https://doi.org/10.1134/s0040577921010050
Autor:
Abdulaziz D Alhaidari
Publikováno v:
Teoreticheskaya i Matematicheskaya Fizika. 206:97-111
Рассматривается экспоненциальная удерживающая потенциальная яма, которая может быть использована в качестве модели для описания стру
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8a5ad2c4299b207212ad88ce45d854cb
https://doi.org/10.4213/tmf9969
https://doi.org/10.4213/tmf9969
Autor:
Abdulaziz D. Alhaidari
Publikováno v:
Theoretical and Mathematical Physics. 202:17-29
We consider a ten-parameter second-order ordinary linear differential equation with four singular points. Three of them are finite and regular, while the fourth is irregular at infinity. We use the tridiagonal representation approach to obtain a solu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d37d59f258efe9bb8c959ab7c86184e7
https://doi.org/10.1134/s0040577920010031
https://doi.org/10.1134/s0040577920010031
This paper is a continuation of the previous one [Journal xx, xxxxx (2022)]. Here, we reformulate the same J-matrix theory by regularizing the inverse square singular potential. The objective is to restore rapid convergence of the calculation in the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ef5a21bb28b783075d6163f4075a1e68
Autor:
Abdulaziz D Alhaidari
Publikováno v:
Teoreticheskaya i Matematicheskaya Fizika. 202:20-33
Рассматривается десятипараметрическое обыкновенное линейное дифференциальное уравнение второго порядка с четырьмя особыми точками.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::91a629e999b5d7c1dd2418a8596d96cc
https://doi.org/10.4213/tmf9707
https://doi.org/10.4213/tmf9707
Publikováno v:
Annals of Physics. 444:169020
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1e501e5e2926e854e6f118ea3e20b68e
https://doi.org/10.1016/j.aop.2022.169020
https://doi.org/10.1016/j.aop.2022.169020
We use the tridiagonal representation approach to solve the radial Schr\"odinger equation for an inverse power-law potential of a combined quartic and sextic degrees and for all angular momenta. The amplitude of the quartic singularity is larger than
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b36d5fa71131e100e5a22862995baab8
http://arxiv.org/abs/2103.03349
http://arxiv.org/abs/2103.03349