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A theoretical scheme for the analysis of experimental data on IR spectroscopy for a quantum particle in a double well potential (DWP) is suggested. The analysis is based on the trigonometric DWP for which the exact analytic solution of the…

Chemical Physics · Physics 2019-06-06 A. E. Sitnitsky

A short introduction of a relation between a Green's function and a quantum wave impedance function as well as its application to a determination of eigenenergies and eigenfunctions of a quatum-mechanical system is provided. Three different…

Quantum Physics · Physics 2020-10-13 O. I. Hryhorchak

In this paper, we investigate the quantum dynamics of a non-relativistic particle confined by the Aharonov-Bohm quantum flux field with pseudoharmonic-type potential in the background of topological defect produced by a point-like global…

High Energy Physics - Theory · Physics 2023-04-21 Faizuddin Ahmed

The solution to a problem in quantum mechanics is generally a linear superposition of states. The solutions for double well potentials epitomize this property, and go even further than this: they can often be described by an effective model…

Quantum Gases · Physics 2018-03-14 A. Ibrahim , F. Marsiglio

We investigate several aspects of the thermodynamic geometry for a quantum fluid with square-well interactions using a third-order perturbation theory framework based on the path-integral-necklace analogy. A comparison is made between the…

We present quasi-analytical and numerical calculations of Gaussian wave packet solutions of the Schr\"odinger equation for two-dimensional infinite well and quantum billiard problems with equilateral triangle, square, and circular…

Quantum Physics · Physics 2009-11-10 M. A. Doncheski , S. Heppelmann , R. W. Robinett , D. C. Tussey

A quasimodal expansion method (QMEM) is developed to model and understand the scattering properties of arbitrary shaped two-dimensional (2-D) open structures. In contrast with the bounded case which have only discrete spectrum (real in the…

We investigate the conductance of a quantum wire with two embedded quantum dots using a T-matrix approach based on the Lippmann-Schwinger formalism. The quantum dots are represented by a quantum well with Gaussian shape and the wire is…

Advantage is taken of the arbitrariness in energy reference to consider anew integral transcriptions of Schrodinger's equation in the presence of potentials which at infinity acquire constant, nonvanishing values. It is found possible to…

Classical Analysis and ODEs · Mathematics 2020-06-08 Jan A. Grzesik

We investigate the quantum statistical properties of the light emitted by a quantum well interacting with squeezed light from a degenerate subthreshold optical parametric oscillator. We obtain analytical solutions for the pertinent quantum…

Quantum Physics · Physics 2011-09-21 Eyob A. Sete , H. Eleuch

For sedimenting colloidal hard spheres, the propagation and broadening of the crystal-fluid interface is studied by Brownian dynamics computer simulations of an initially homogeneous sample. Two different types of interface broadenings are…

Soft Condensed Matter · Physics 2015-05-28 Elshad Allahyarov , Hartmut Löwen

In this work we explore how nonlinear modes described by a dispersive wave equation (in our example, the nonlinear Schrodinger equation) and localized in a few wells of a periodic potential can act analogously to a chain of coupled…

Pattern Formation and Solitons · Physics 2013-04-30 T. J. Alexander , D. Yan , P. G. Kevrekidis

A behavior of quantum states (superposition of two lowest eigenstates, Gaussian wave packet) in phase space is studied for one and two dimensional double well potential. Two dimensional potential is constructed from double well potential…

Chemical Physics · Physics 2007-05-23 Dmytro Babyuk

We explore the helical quantum two-body problem i.e. two repulsively Coulomb interacting particles confined to move along a helix. The effective potential possesses a tunable number of potential wells superimposed on the repulsive Coulomb…

Quantum Physics · Physics 2026-03-11 Peter Schmelcher

In this paper, we study the Schr\"odinger equation with a new quasi-exactly solvable double-well potential. Exact expressions for the energies, the corresponding wave functions and the allowed values of the potential parameters are obtained…

Mathematical Physics · Physics 2017-02-22 Marzieh Baradaran , Hossein Panahi

Thermodynamic properties of confined systems depend on sizes of the confinement domain due to quantum nature of particles. Here we show that shape also enters as a control parameter on thermodynamic state functions. By considering specially…

Mesoscale and Nanoscale Physics · Physics 2019-01-29 Alhun Aydin , Altug Sisman

Spatially indirect excitons in semiconductor quantum wells are relevant to basic research and device applications because they exhibit enhanced tunability, delocalized wave functions, and potentially longer lifetimes relative to direct…

We report on recent experiments investigating the modification of the inter-band optical response of a piezoelectric semiconductor quantum well structure under the influence of intense short period surface acoustic waves. Experimentally, we…

Condensed Matter · Physics 2008-02-03 C. Rocke , A. Wixforth , J. P. Kotthaus , H. Boehm , G. Weimann

The paper wishes to demonstrate that, in quantum systems with boundaries, different boundary conditions can lead to remarkably different physical behaviour. Our seemingly innocent setting is a one dimensional potential well that is divided…

Quantum Physics · Physics 2009-11-13 Tamas Fulop , Izumi Tsutsui

Intersubband absorption in modulation-doped quantum wells is usually appropriately described as a collective excitation of the confined two-dimensional electron gas. At sufficiently low electron density and low temperatures, however, the…

Condensed Matter · Physics 2009-11-07 Stefano Luin , Vittorio Pellegrini , Fabio Beltram , Xavier Marcadet , Carlo Sirtori