Zobrazeno 1 - 10
of 384
pro vyhledávání: '"Al-Jamel A"'
Publikováno v:
Open Physics, Vol 19, Iss 1, Pp 395-401 (2021)
In this article, the Hamiltonian for the conformable harmonic oscillator used in the previous study [Chung WS, Zare S, Hassanabadi H, Maghsoodi E. The effect of fractional calculus on the formation of quantum-mechanical operators. Math Method Appl Sc
Externí odkaz:
https://doaj.org/article/4a1ee8df6a8c43b088388af86b48a6ae
Publikováno v:
Indian Journal of Physics18 September 2024
In this paper, we study the saturation effect in the energy or mass spectra of three quantum models with energy-dependent potentials: the harmonic oscillator, the hydrogen atom, and the heavy quarkonia. We used the method proposed in \cite{garcia2009
Externí odkaz:
http://arxiv.org/abs/2404.00302
Publikováno v:
International Journal of Modern Physics A. 2024
The variational method is used to study the hard confinement of a two-particle quantum system in two potential models, the Cornell potential and the global potential, with Dirichlet-type boundary conditions at various cut-off radii. The trial wavefun
Externí odkaz:
http://arxiv.org/abs/2402.10788
In this work, the conformable Bateman Lagrangian for the damped harmonic oscillator system is proposed using the conformable derivative concept. In other words, the integer derivatives are replaced by conformable derivatives of order $\alpha$ with $0
Externí odkaz:
http://arxiv.org/abs/2301.02769
Publikováno v:
progress in fractional differentiation and applications.2024
In this paper, the conformable Schrodinger equation for hydrogen atom with given conformable potential is solved. The conformable wave functions and energy levels are obtained, and the traditional energy levels and wave function for hydrogen atom are
Externí odkaz:
http://arxiv.org/abs/2209.02699
Publikováno v:
progress in fractional differentiation and applications.2024
In this work, the conformable Schrodinger equation in spherical coordinates is separated into two parts; radial and angular part, the angular part of the Schrodinger equation is solved. The normalized Spherical harmonics function is obtained as a sol
Externí odkaz:
http://arxiv.org/abs/2203.11615
Publikováno v:
Asian-European Journal of Mathematics.2023
In this paper, the conformable Laguerre and associated Laguerre differential equations are solved using the Laplace transform. The solution is found to be in exact agreement with that obtained using the power series. In addition some of properties of
Externí odkaz:
http://arxiv.org/abs/2112.01322
Publikováno v:
Revista Mexicana de F\'isica.2022
In the article, the deformation of special relativity within the frame of conformable derivative is formulated. Within this context, the two postulates of the theory were re-stated. And, the addition of velocity laws were derived and used to verify t
Externí odkaz:
http://arxiv.org/abs/2111.02799
Publikováno v:
Modern Physics Letters A.2022
In this paper, the WKB method is extended to be applicable for conformable Hamiltonian systems where the concept of conformable operator with fractional order $\alpha$ is used. The WKB approximation for the $\alpha$-wavefunction is derived when the p
Externí odkaz:
http://arxiv.org/abs/2111.01547
Autor:
Al-Jamel, Ahmed
Publikováno v:
Modern Physics Letters A, 2 Vol. 33, No. 1 (2019) 1950307
Heavy $c\bar c$ and $b\bar b $ quarkonia are considered as systems confined within a hard-wall potential shaped after a linear combination of a cotangent-- with a square co-secant function. Wave functions and energy spectra are then obtained in close
Externí odkaz:
http://arxiv.org/abs/1908.07707