Zobrazeno 1 - 10
of 182
pro vyhledávání: '"Umar, Mohammad"'
Autor:
Umar, Mohammad
In this study, we introduce the Cantor-structured Dirac comb potential, referred to as the Cantor Dirac comb (CDC-$\rho_{N}$) potential system, and investigate non-relativistic quantum tunneling through this novel potential configuration. This system
Externí odkaz:
http://arxiv.org/abs/2410.08658
To bridge the fractal and non-fractal potentials we introduce the concept of generalized unified Cantor potential (GUCP) with the key parameter $N$ which represents the potential count at the stage $S=1$. This system is characterized by total span $L
Externí odkaz:
http://arxiv.org/abs/2405.11617
In this paper, we introduce and analyze the Smith-Volterra-Cantor potential of power \( n \), denoted as SVC\(\left(\rho, n\right)\). Bridging the gap between the general Cantor and SVC systems, this novel potential offers a fresh perspective on Cant
Externí odkaz:
http://arxiv.org/abs/2312.10501
We introduce a new type of potential system that combines the families of general Cantor (fractal system) and general Smith-Volterra-Cantor (non-fractal system) potentials. We call this system as Unified Cantor Potential (UCP) system. The UCP system
Externí odkaz:
http://arxiv.org/abs/2308.08180
Publikováno v:
Journal of Mathematical Physics 64, 032101 (2023)
We study the tunneling problem from general Smith-Volterra-Cantor (SVC) potential of finite length $L$ characterized by the scaling parameter $\rho$ and stage $G$. We show that the SVC($\rho$) potential of stage $G$ is the special case of super perio
Externí odkaz:
http://arxiv.org/abs/2303.01982
We explore the features of non-relativistic quantum tunneling in space fractional quantum mechanics through a family of Cantor potentials. We consider two types of potentials: general Cantor and general Smith-Volterra-Cantor potential. The Cantor pot
Externí odkaz:
http://arxiv.org/abs/2301.00674
We explicitly prove that the transfer matrix of a finite layered $PT$-symmetric system of fix length $L$ consisting of $N$ units of the potential system `$+iV$' and `$-iV$' of equal thickness becomes a unit matrix in the limit $N \rightarrow \infty$.
Externí odkaz:
http://arxiv.org/abs/2201.00010
Autor:
Umar, Mohammad, Rehman, Yasir, Ambreen, Subiya, Mumtaz, Sayed Md, Shaququzzaman, Mohd, Alam, Mohammad Mumtaz, Ali, Ruhi
Publikováno v:
In Ageing Research Reviews June 2024 97
Autor:
Sheikh, Khursheed Ahmad, Gupta, Amisha, Umar, Mohammad, Ali, Ruhi, Shaquiquzzaman, M., Akhter, Mymoona, Khan, Mohammad Ahmed, Kaleem, Mohammad, Ambast, Pranav Kumar, Charan, Shyama, Alam, M. Mumtaz
Publikováno v:
In Journal of Molecular Structure 5 March 2024 1299
Publikováno v:
In Annals of Physics March 2023 450