Searcharxiv⌕ Search

arXiv subjects

Sami Ortakaya

Publications and source records attributed to Sami Ortakaya.

6 recordsLinked to original sources
arXiv2025

Intersubband optical absorption in the GaN/AlN qunatum wire with donor-doping

In this study, we investigate the optical absorption within the conduction-subbands of a cylindrical GaN/AlN quantum wire. We analyze the optical absorption rate and the real part of the dielectric function for both quantum wire (QWR) and quantum dot (QD) structures in the presence of donor-impurity states. The results cover that the density of states associated with free motion in the QWR structure leads to a lower optical absorption compared to the QDs, as evidenced by the optical spectra. This study advances the understanding of GaN/AlN heterostructures by offering a comprehensive analysis of the optical properties of QWRs and QDs, especially under donor-doping situation. As a result, the outcomes provide a clear evidence of the effect of semiconductor nanostructures on the optical properties of optoelectronic devices.

quant-ph↗
arXiv2024

Spinor quantum states of the Dirac's core/shell at fm-space

In this study, we present a model for the behavior of Dirac particles under the tensor effect in the spherical core/shell regime. We examine the change of energy levels corresponding to the particles localized in a space of approximately 1.0 fm in the core region of the quantum sphere, with the well width. It also occurs from the analytical solutions that the two different levels accompany particle states of the same mass. Additionally, the solutions exhibiting anomalous behavior, giving rise to antiparticle-type states, occur at heavier mass.

quant-ph↗
arXiv2023

Existence of quantum states for Klein-Gordon particles based on exact and approximate scenarios with pseudo-dot spherical confinement

In the present study, Kummer's eigenvalue spectra from a charged spinless particle located at spherical pseudo-dot of the form $r^2+1/r^2$ is reported. Here, it is shown how confluent hypergeometric functions have principal quantum numbers for considered spatial confinement. To study systematically both constant rest-mass, $m_{0}c^2$ and spatial-varying mass of the radial distribution $m_{0}c^2+S(r)$, the Klein-Gordon equation is solved under exact case and approximate scenario for a constant mass and variable usage, respectively. The findings related to the relativistic eigenvalues of the Klein-Gordon particle moving spherical space show the dependence of mass distribution, so it has been obtained that the energy spectra has bigger eigenvalues than $m_{0}=1$ fm$^{-1}$ in exact scenario. Following analysis shows eigenvalues satisfy the range of $E<m_{0}$ through approximate scenario.

quant-ph↗
arXiv2023

Uniform magnetic field on the relativistic spinless particles with constant rest mass: 2D polar space

We present an interaction modeling for the relativistic spin-0 charged particles moving in a uniform magnetic field. In the absence of an improved perturbative way, we solve directly Kummer's differential equation including principal quantum numbers. As a functional approach to the nuclear interaction, we consider particle bound states without antiparticle regime. Within the approximation line to $1/r^4$, we have also improved the considerations of the $V(r)$$\neq$$0$ and $S(r)$$=$$0$ related to scalar and mass interactions. Moreover, we have founded a closeness for introduced approximation scheme for range of $0.5$ and $1.0$ $\mathrm {fm}$. In this way, minimal coupling might also yields analytically energy spectra. Within the spin-zero relativistic regime, we have considered the inverse-square interaction under uniform magnetic field and founded that the energy levels increase with increasing interaction energy (i.e, quantum well width decreases for given values). Additionally, energy levels increase with larger values of the uniform magnetic fields. The charge distributions is also valid for the central interaction-confinement space. Putting the approximation to spin-zero motion with $V(r)$$\neq$$0$ and $S(r)$$=$$0$, one can introduced solvable model in the 2D polar space.

quant-ph↗
arXiv2022

Deep anharmonicity to relativistic spin-0 particles in the spherical regime

We present an oscillator modeling of the relativistic spin-0 charges moving in the quantum states with minimum coupling of electromagnetic fields. Rather than perturbative approach to spinless regime, we put into operation directly under integer dependent levels for anharmonicity. In this way, the charged particle of rest mass energy kept as 280 MeV. Within the familiar Pekeris-like approximation, we have also improved the deep approximation to the orders of third and fourth near equilibrium of $7.5\,{\rm fm}$. Moreover, we have founded a closer agreement of high order approximation and given potential which has width range of $0.43\,{\rm fm^{-1}}$. Although equality between scalar and vector potentials give output in the solvable form, the improved approximation provides the spatial-independent rest mass as a "pure oscillator" without external field. In the absence of scalar distribution, minimal coupling might also leads to an oscillation at equilibrium distances, so we have considered an adding of extra-energy giving shifted Morse potential in the depth range 80 to 100 MeV. As a result of the shift, it has been concluded that the potential depth of the charged particle affects the relativistic energy levels where we have found about 200 MeV being for particles and nearly -10 MeV being for anti-particles. Besides negative energy states, the typical probability picture showing spin-zero charge distribution has been followed by the wavefunctions as ($n=0$ $\ell=0$) and ($n=1$, $\ell=1$) corresponding to relativistic energies. By taking into account a deep approximation to Klein-Gordon anharmonicity with $V_{v}(r)\neq 0$ and $V_{s}(r)=0$, one can introduced approximate-solvable relativistic oscillatory model.

quant-ph↗