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We report the realization of a hybrid superconductor-quantum dot device by means of top-down nanofabrication starting from a two dimensional electron gas in a InGaAs/InAlAs semiconductor heterostructure. The quantum dot is defined by…

Mesoscale and Nanoscale Physics · Physics 2011-04-15 Fabio Deon , Vittorio Pellegrini , Francesco Giazotto , Giorgio Biasiol , Lucia Sorba , Fabio Beltram

Dirac equation is solved for some exponential potentials, hypergeometric-type potential, generalized Morse potential and Poschl-Teller potential with any spin-orbit quantum number $\kappa$ in the case of spin and pseudospin symmetry,…

Mathematical Physics · Physics 2010-03-05 Altug Arda , Ramazan Sever , Cevdet Tezcan

In the present work, the mass spectra of the bound states of heavy quarks b and c quarks and the Bc meson are studied within the frame work of non relativistic Schrodinger equation. First, we solve Schr\"odinger's equation with a general…

High Energy Physics - Phenomenology · Physics 2020-04-06 Hesham Mansour , Ahmed Gamal

Bound states of hyperbolic potential is investigated by means of a generalized pseudospectral method. Significantly improved eigenvalues, eigenfunctions are obtained efficiently for arbitrary $n, \ell$ quantum states by solving the relevant…

Chemical Physics · Physics 2015-06-22 Amlan K. Roy

A quantum dot proposal for the implementation of topological quantum computation is presented. The coupling of the electron charge to an external magnetic field via the Aharonov-Bohm effect, combined with the control dynamics of a double…

Quantum Physics · Physics 2007-05-23 Roberta Rodriquez , Jiannis K. Pachos

The N-dimensional radial Schrodinger equation has been solved using the Nikiforov Uvarov (NU) method, in which we used the medium modified form of Cornell potential and quasi-particle Debye mass with strong magnetic field background. The…

High Energy Physics - Phenomenology · Physics 2024-06-26 Rishabh Sharma , Siddhartha Solanki , Manohar Lal , Vineet Kumar Agotiya

Approximate analytical solutions of the Dirac equation are obtained for the Yukawa potential plus a tensor interaction with any $\kappa$-value for the cases having the Dirac equation pseudospin and spin symmetry. The potential describing…

Quantum Physics · Physics 2015-06-12 Altug Arda , Ramazan Sever

In the present article, we describe a method of introducing the harmonic potential into the Klein-Gordon equation, leading to genuine bound states. The eigenfunctions and eigenenergies are worked out explicitly.

Quantum Physics · Physics 2008-11-06 Nagalakshmi A Rao , B. A. Kagali

We approximately solve the Dirac equation for a new suggested generalized inversely quadratic Yukawa (GIQY) potential including a Coulomb-like tensor interaction with arbitrary spin-orbit coupling quantum number In the framework of the spin…

Nuclear Theory · Physics 2012-12-11 Sameer M. Ikhdair , Majid Hamzavi

The radial part of Klein-Gordon equation is solved for the Woods-Saxon potential within the framework of an approximation to the centrifugal barrier. The bound states and the corresponding normalized eigenfunctions of the Woods-Saxon…

Mathematical Physics · Physics 2015-05-13 Altug Arda , Ramazan Sever

Thermodynamics properties of heavy mesons are calculated within the framework of the N-dimensional radial Schrodinger equation. The Cornell potential is extended by including the quadratic potential plus the inverse of quadratic potential.…

High Energy Physics - Phenomenology · Physics 2019-06-25 M. Abu-Shady , T. A. Abdel-Karim , Sh. Y. Ezz-Alarab

We discussed exact solutions of the Schroedinger equation for a two-dimensional parabolic confinement potential in a homogeneous external magnetic field. It turns out that the two-electron system is exactly solvable in the sense, that the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Manfred Taut , Helmut Eschrig

We study two-dimensional (2D) droplets of noninteracting electrons in a strong magnetic field, placed in a confining potential with arbitrary shape. Using semiclassical methods adapted to the lowest Landau level, we obtain near-Gaussian…

Mesoscale and Nanoscale Physics · Physics 2024-05-06 Blagoje Oblak , Bastien Lapierre , Per Moosavi , Jean-Marie Stéphan , Benoit Estienne

We theoretically study the optical properties of an InAs/GaAs quantum dot (QD) near the area of the second-order resonance between an electron confined in the QD and two longitudinal optical phonons. We present the absorption spectra of an…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Piotr Kaczmarkiewicz , Paweł Machnikowski

Using the method of the "exact discretization" of the Schr\"odinger equation, we propose a particular discretized version of the N=2 Supersymmetric Quantum Mechanics. After defining the corresponding shape invariance condition, we show that…

Quantum Physics · Physics 2022-10-26 Jonas Sonnenschein , Mirian Tsulaia

The relativistic problem of spin- fermions subject to vector hyperbolic (kink-like) potential tanh (kx) is investigated by using the parametric Nikiforov-Uvarov method. The energy eigenvalue equation and the corresponding normalized wave…

Quantum Physics · Physics 2016-09-01 M. Eshghi , H. Mehraban , Sameer M. Ikhdair

We approximately investigated pseudospin symmetric solutions of the Dirac equation for attractive radial potential including a Coulomb-like tensor interaction under pseudospin symmetry limit for any spin-orbit quantum number . By using the…

Quantum Physics · Physics 2012-08-03 Majid Hamzavi , M. Eshghi , Sameer M. Ikhdair

The analytical solution of the modified radial Schr\"{o}dinger equation for the Hulth\'en potential is obtained within ordinary quantum mechanics by applying the Nikiforov-Uvarov method and supersymmetric quantum mechanics by applying the…

Mathematical Physics · Physics 2016-07-06 H. I. Ahmadov , Sh. I. Jafarzade , M. V. Qocayeva

In this work, the approximate bound state solutions of the fractional Schr\"odinger equation under a spin-spin-dependent Cornell potential are obtained via the convectional Nikiforov-Uvarov approach. The energy spectra are applied to obtain…

High Energy Physics - Phenomenology · Physics 2023-08-31 M. Abu-Shady , E. Omugbe , E. P. Inyang

The growth-diection quantization of confined electron gas in a GaAs/AlGaAs based quantum well structure is obtained in the Kohn-Sham iterative computational scheme. The longitudinal conductance at low temperatures, in the presence of…

Mesoscale and Nanoscale Physics · Physics 2009-01-14 Partha Goswami , Garima Puneyani , Avinashi Kapoor