Zobrazeno 1 - 10
of 447
pro vyhledávání: '"Kuru, Ş"'
In this work we investigate the confining properties of charged particles of a Dirac material in the plane subject to an electrostatic potential well, that is, in an electric quantum dot. Our study focuses on the effect of mass and angular momenta on
Externí odkaz:
http://arxiv.org/abs/2104.06676
In this work, we have extended the factorization method of scalar shape-invariant Schr\"o\-din\-ger Hamiltonians to a class of Dirac-like matrix Hamiltonians. The intertwining operators of the Schr\"odinger equations have been implemented in the Dira
Externí odkaz:
http://arxiv.org/abs/2104.02732
Autor:
Kızılırmak, D. Demir, Kuru, Ş.
Publikováno v:
Phys. Scr. 96 (2021) 025806
In this study, firstly it is reviewed how the solutions of the Dirac-Weyl equation for a massless charge on the hyperboloid under perpendicular magnetic fields are obtained by using supersymmetric (SUSY) quantum mechanics methods. Then, the solutions
Externí odkaz:
http://arxiv.org/abs/2011.01195
We analyze the structure of the scattering matrix, $S(k)$, for the one dimensional Morse potential. We show that, in addition to a finite number of bound state poles and an infinite number of anti-bound poles, there exist an infinite number of redund
Externí odkaz:
http://arxiv.org/abs/2005.02742
Publikováno v:
J. Phys. A: Math. Theor. 53 405203 (2020)
We characterize the symmetry algebra of the generic superintegrable system on a pseudo-sphere corresponding to the homogeneous space $SO(p,q+1)/SO(p,q)$ where $p+q={\cal N}$, ${\cal N}\in\mathbb N$. We show that this algebra is independent of the sig
Externí odkaz:
http://arxiv.org/abs/2004.07048
Publikováno v:
Physica E: Low-dimens. Syst. and Nanostruct. 118 (2020) 113926
In this paper the Dirac-Weyl equation on a hyperbolic surface of graphene under magnetic fields is considered. In order to solve this equation analytically for some cases, we will deal with vector potentials symmetric under rotations around the z axi
Externí odkaz:
http://arxiv.org/abs/1909.06831
Ladder functions in classical mechanics are defined in a similar way as ladder operators in the context of quantum mechanics. In the present paper, we develop a new method for obtaining ladder functions of one dimensional systems by means of a produc
Externí odkaz:
http://arxiv.org/abs/1812.11582
Publikováno v:
In Physica E: Low-dimensional Systems and Nanostructures August 2022 142
In this paper, we investigate the main algebraic properties of the maximally superintegrable system known as "Perlick system type I". All possible values of the relevant parameters, $K$ and $\beta$, are considered. In particular, depending on the sig
Externí odkaz:
http://arxiv.org/abs/1705.04618
The Fock-Darwin system is analysed from the point of view of its symmetry properties in the quantum and classical frameworks. The quantum Fock-Darwin system is known to have two sets of ladder operators, a fact which guarantees its solvability. We sh
Externí odkaz:
http://arxiv.org/abs/1703.06634