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Using supersymmetric quantum mechanics we construct the quasi-exactly solvable (QES) potentials with arbitrary two known eigenstates. The QES potential and the wave functions of the two energy levels are expressed by some generating…

Quantum Physics · Physics 2009-11-07 V. M. Tkachuk

The valley splitting in Si two-dimensional electron systems is studied using Si/SiGe single quantum wells (QWs) with different well widths. The energy gaps for 4 and 5.3 nm QWs, obtained from the temperature dependence of the longitudinal…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Kohei Sasaki , Ryuichi Masutomi , Kiyohiko Toyama , Kentarou Sawano , Yasuhiro Shiraki , Tohru Okamoto

The quantum system of particles in a double well potential is a widely studied and extremely useful example for understanding quantum mechanics. This simple system has recently been used in theoretical proposals and related experiments as a…

Quantum Physics · Physics 2011-03-23 C. J. Foot , M. Shotter

The transport in complex multiple quantum well heterostructures is theoretically described. The model is focused on quantum cascade detectors, which represent an exciting challenge due to the complexity of the structure containing 7 or 8…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 C. Koeniguer , G. Dubois , A. Gomez , V. Berger

Considering the increasing number of experimental results in the manufacturing process of quantum dots with different geometries, and the fact that most numerical methods that can be used to investigate quantum dots with non-trivial…

Materials Science · Physics 2022-12-06 G. A. Mantashian , P. A. Mantashyan , D. B. Hayrapetyan

The bound state energies of a 1-dimensional finite quantum square well (FSW) can be determined using a geometric method, involving a smooth mapping between two copies of the complex plane. The method allows one to identify particular…

Quantum Physics · Physics 2022-10-17 Ken Roberts , Najeh Jisrawi , J. Jeyasitharam , Shreyas Suresh , P. C. Deshmukh , S. R. Valluri

We have studied the collective properties of two-dimensional (2D) excitons immersed within a quantum well which contains 2D excitons and a two-dimensional electron gas (2DEG). We have also analyzed the excitations for a system of 2D dipole…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Oleg L. Berman , Godfrey Gumbs , Patrick A. Folkes

A new model for the double well potential is presented in the paper. In the new potential, the exchanging rate could be easily calculated by the perturbation method in supersymmetric quantum mechanics. It gives good results whether the…

Quantum Physics · Physics 2015-05-18 Guihua Tian

We propose a new method for constructing the quasi-exactly solvable (QES) potentials with two known eigenstates using supersymmetric quantum mechanics. General expression for QES potentials with explicitly known energy levels and wave…

Quantum Physics · Physics 2007-05-23 V. M. Tkachuk

The finite square potential well is a staple problem in introductory quantum mechanics. There is an extensive literature on the determination of the allowed energies, which requires the solution of a transcendental equation by numerical,…

Quantum Physics · Physics 2026-03-10 Nivaldo A. Lemos

We calculate the bound plasmonic modes of a quantum metamaterial slab, comprised of multiple quasi two dimensional electron gas (Q2DEG) layers, whose thickness is much smaller than the optical wavelength. For the first order transverse…

Other Condensed Matter · Physics 2009-11-13 J. Plumridge , C. Phillips

Gate-tunable high-mobility InSb/In_{1-x}Al_{x}Sb quantum wells (QWs) grown on GaAs substrates are reported. The QW two-dimensional electron gas (2DEG) channel mobility in excess of 200,000 cm^{2}/Vs is measured at T=1.8K. In asymmetrically…

A simple methodology is suggested for the efficient calculation of certain central potentials having singularities. The generalized pseudospectral method used in this work facilitates {\em nonuniform} and optimal spatial discretization.…

Quantum Physics · Physics 2015-06-16 Amlan K. Roy

The equation describing the capacitance of capacitors is determined. It is shown that by optimizing the material of the conducting electrodes, the capacitance of capacitors reaching the quantum regime can be substantially enhanced or…

Materials Science · Physics 2015-05-13 Thilo Kopp , Jochen Mannhart

In a high mobility two-dimensional electron gas (2DEG) in a GaAs/AlGaAs quantum well we observe a strong magnetoresistance. In lowering the electron density the magnetoresistance gets more pronounced and reaches values of more than 300%. We…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 L. Bockhorn , P. Barthold , D. Schuh , W. Wegscheider , R. J. Haug

We collect and review works which treat two-dimensional electron gases in quantum wells (mostly GaAs/GaAlAs heterostructures) in the presence of quantizing magnetic fields as open systems in contact with outside reservoirs. If a reservoir…

Materials Science · Physics 2015-06-16 W. Zawadzki , A. Raymond , M. Kubisa

Molecular dynamics simulations at a constant electric potential are an essential tool to study electrochemical processes, providing microscopic information on the structural, thermodynamic, and dynamical properties. Despite the numerous…

Semiconductor interfaces, such as these existing in multilayer structures (e.g., quantum wells (QWs)), are interesting because of their ability to form 2D electron gases (2DEGs), in which charge carriers behave completely differently than…

Mesoscale and Nanoscale Physics · Physics 2019-05-22 Aleksandr Kazakov , Tomasz Wojtowicz

Two factors contribute to the electrical capacitance between two electrodes: a classical contribution, stemming from the electric field, and a quantum contribution, governed by the Pauli exclusion principle, which increases the difficulty…

Mesoscale and Nanoscale Physics · Physics 2025-10-08 T. de Ara , B. Olivera , C. Sabater , C. Untiedt

General analytic expressions for the total absorption coefficient of strong electromagnetic waves caused by confined electrons in Infinite semi-parabolic plus Semi-inverse Squared Quantum Wells (ISPSISQW) are obtained by using the quantum…

Mesoscale and Nanoscale Physics · Physics 2024-12-25 Cao Thi Vi Ba , Nguyen Quang Bau , Anh-Tuan Tran , Tang Thi Dien