Zobrazeno 1 - 10
of 405
pro vyhledávání: '"Hashimi M"'
Autor:
Al-Hashimi, M. H., Wiese, U. -J.
Publikováno v:
Phys. Rev. Research 3, 033079 (2021)
For a particle moving on a half-line or in an interval the operator $\hat p = - i \partial_x$ is not self-adjoint and thus does not qualify as the physical momentum. Consequently canonical quantization based on $\hat p$ fails. Based upon a new concep
Externí odkaz:
http://arxiv.org/abs/2103.01715
Autor:
Al-Hashimi, M. H., Wiese, U. -J.
For a particle in a box, the operator $- i \partial_x$ is not Hermitean. We provide an alternative construction of a momentum operator $p = p_R + i p_I$, which has a Hermitean component $p_R$ that can be extended to a self-adjoint operator, as well a
Externí odkaz:
http://arxiv.org/abs/2012.09596
Autor:
Al-Hashimi, M. G.1, Zeboon, N. H.1 najat.Zeboon@coagri.Uobaghdad.edu.iq
Publikováno v:
Iraqi Journal of Agricultural Sciences. 2024 Special Issue, Vol. 55, p90-98. 9p.
A general method has been developed to solve the Schr\"odinger equation for an arbitrary derivative of the $\delta$-function potential in 1-d using cutoff regularization. The work treats both the relativistic and nonrelativistic cases. A distinction
Externí odkaz:
http://arxiv.org/abs/1607.08593
Publikováno v:
Phys. Rev. D 95, 065007 (2017)
Majorana fermion dynamics may arise at the edge of Kitaev wires or superconductors. Alternatively, it can be engineered by using trapped ions or ultracold atoms in an optical lattice as quantum simulators. This motivates the theoretical study of Majo
Externí odkaz:
http://arxiv.org/abs/1607.08545
The non-relativistic hydrogen atom enjoys an accidental $SO(4)$ symmetry, that enlarges the rotational $SO(3)$ symmetry, by extending the angular momentum algebra with the Runge-Lenz vector. In the relativistic hydrogen atom the accidental symmetry i
Externí odkaz:
http://arxiv.org/abs/1504.04269
Autor:
Al-Hashimi, M. H., Shalaby, A. M.
Publikováno v:
Phys. Rev. D 92, 025043 (2015)
We study the relativistic version of Schr\"odinger equation for a point particle in 1-d with potential of the first derivative of the delta function. The momentum cutoff regularization is used to study the bound state and scattering states. The initi
Externí odkaz:
http://arxiv.org/abs/1503.00786
Autor:
Soker-Elimaliah, Sapir, Jennings, Cailen A., Hashimi, M. Mustafa, Cassim, Tuan Z., Lehrfield, Aviva, Wagner, Jennifer B.
Publikováno v:
In International Journal of Psychophysiology September 2020 155:118-126
We study the solution of the relativistic Schr\"odinger equation for a point particle in 1-d under $\delta$-function potential by using cutoff regularization. We show that the problem is renormalizable, and the results are exactly the same as the one
Externí odkaz:
http://arxiv.org/abs/1406.3265
Publikováno v:
Phys. Rev. D 89, 125023 (2014)
We consider the Schr\"odinger equation for a relativistic point particle in an external 1-dimensional $\delta$-function potential. Using dimensional regularization, we investigate both bound and scattering states, and we obtain results that are consi
Externí odkaz:
http://arxiv.org/abs/1404.3077