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We suggest a method for calculating electronic spectra in ordered and disordered semiconductor structures (superlattices) forming double quantum wells (QW). In our method, we represent the solution of Schr\"odinger equation for QW potential…

Materials Science · Physics 2022-04-13 Piotr Garbaczewski , Vladimir A. Stephanovich , Grzegorz Engel

The authors theoretically investigate quantum confinement and transition energies in quantum wells (QWs) asymmetrically positioned in wrinkled nanomembranes. Calculations reveal that the wrinkle profile induces both blue- and redshifts…

Mesoscale and Nanoscale Physics · Physics 2012-06-14 P. Cendula , S. Kiravittaya , O. G. Schmidt

Motivated by recent experimental studies of matter-waves and optical beams in double well potentials, we study the solutions of the nonlinear Schr\"{o}dinger equation in such a context. Using a Galerkin-type approach, we obtain a detailed…

Pattern Formation and Solitons · Physics 2009-11-11 G. Theocharis , P. G. Kevrekidis , D. J. Frantzeskakis , P. Schmelcher

The theory of the linear optical response of excitons in quantum wells and polaritons in planar semiconductor microcavities is reviewed, in the light of the existing experiments. For quantum well excitons, it is shown that disorder mainly…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Vincenzo Savona

Certain superposition states of the 1-D infinite square well have transient zeros at locations other than the nodes of the eigenstates that comprise them. It is shown that if an infinite potential barrier is suddenly raised at some or all…

Quantum Physics · Physics 2016-05-30 Mordecai Waegell , Yakir Aharonov , Taylor Lee Patti

The results of tunnelling studies of the energy spectrum of two-dimensional (2D) states in a surface quantum well in a semiconductor with inverted band structure are presented. The energy dependence of quasimomentum of the 2D states over a…

Condensed Matter · Physics 2009-10-28 G. M. Minkov , A. V. Germanenko , V. A. Larionova , O. E. Rut

The lineshape of the tunneling conductance in double quantum wells with a large-scale roughness of heterointerfaces is investigated. Large-scale variations of coupled energy levels and scattering due to the short-range potential are taken…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 F. T. Vasko , O. G. Balev , Nelson Studart

The Schrodinger equation for a particle moving in a square well potential with BenDaniel - Duke boundary conditions is solved. Using algebraic approximations for trigonometric functions, the transcendental equations of the bound states…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 Victor Barsan , Mihaela-Cristina Ciornei

The effective Hamiltonian for two dimensional quantum wells with rough interfaces is formally derived. Two new terms are generated. The first term is identified to the local energy level fluctuations, which was introduced phenomenologically…

Mesoscale and Nanoscale Physics · Physics 2010-11-16 Chung-Yu Mou , Tzay-ming Hong

We study the quantum behaviour of a particle moving in a one-dimensional double well potential. This double well is obtained by gluing together, at the origin, two shifted harmonic oscillator potentials. The Schr\"odinger equation is…

Quantum Physics · Physics 2017-04-10 N. Mohammedi , Tim. R. Morris

We propose an analytical approach for computing the eigenspectrum and corresponding eigenstates of a hyperbolic double well potential of arbitrary height or width, which goes beyond the usual techniques applied to quasi-exactly solvable…

Quantum Physics · Physics 2021-01-01 D. Kufel , H. Chomet , C. Figueira de Morisson Faria

The energy-based stochastic extension of the Schrodinger equation is perhaps the simplest mathematically rigourous and physically plausible model for the reduction of the wave function. In this article we apply a new simulation methodology…

Quantum Physics · Physics 2009-11-07 Dorje Brody , Lane Hughston , Joanna Syroka

Localization of a particle in the wells of an asymmetric double-well (DW) potential is investigated here. Information entropy-based uncertainty measures, such as Shannon entropy, Fisher information, Onicescu energy, etc., and phasespace…

Quantum Physics · Physics 2019-04-15 Neetik Mukherjee , Amlan K. Roy

The science and applications of electronics and optoelectronics have been driven for decades by progress in growth of semiconducting heterostructures. Many applications in the infrared and terahertz frequency range exploit transitions…

In this paper, we study spectral properties of the one dimensional periodic Schrodinger operator with an adiabatic quasi-periodic perturbation. We show that in certain energy regions the perturbation leads to resonance effects related to…

Mathematical Physics · Physics 2007-05-23 Alexander Fedotov , Frederic Klopp

We investigate theoretically the effect of spatial asymmetry on the energy and momentum transfer rates in a double-quantum-well system using balance equation approach. Our study is limited to the linear regime where the applied electric…

Mesoscale and Nanoscale Physics · Physics 2014-08-13 T. Vazifehshenas , T. Salavati-fard

The studied model describes a particle that obeys a one-dimensional nonlinear Schr\"odinger equation in the potential of a double-well. Transitions between the two lowest self-trapped states of this system under the influence of the…

Quantum Physics · Physics 2007-05-23 P. V. Elyutin , A. N. Rogovenko

Phonon-related decoherence effects in a quantum double-well two-level subsystem coupled to a solid are studied theoretically by the example of deformation phonons. Expressions for the reduced density matrix at T=0 are derived beyond the…

Other Condensed Matter · Physics 2009-11-13 L. A. Openov

We consider time-dependent Schroedinger equations in one dimension with double well potential and an external nonlinear perturbation. If the initial state belongs to the eigenspace spanned by the eigenvectors associated to the two lowest…

Mathematical Physics · Physics 2007-05-23 Andrea Sacchetti

Intervalley mixing between conduction-band states in low-dimensional Si/SiGe heterostructures induces splitting between nominally degenerate energy levels. The symmetric double-valley effective mass approximation and the empirical…

Mesoscale and Nanoscale Physics · Physics 2009-07-27 A. Valavanis , Z. Ikonić , R. W. Kelsall
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