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An eigenvalue equation representing symmetric (dual) quantum equation is introduced. The particle is described by two scalar wavefunctions, and two vector wavefunctions. The eigenfunction is found to satisfy the quantum Telegraph equation…

综合物理 · 物理学 2018-07-26 A. I. Arbab

We discuss the interaction between two resonant states in a quantum double-well structure. The behaviour of the resonant states depends on the coupling between the wells, i.e. the height and width of the barrier that separates them. We…

量子物理 · 物理学 2007-05-23 Wim Vanroose

We have investigated experimentally the magnetoresistance of strongly asymmetric double-wells. The structures were prepared by inserting a thin Al$_{0.3}$Ga$_{0.7}$As barrier into the GaAs buffer layer of a standard modulation-doped…

介观与纳米尺度物理 · 物理学 2009-11-10 Yu. Krupko , L. Smrcka , P. Vasek , P. Svoboda , M. Cukr , L. Jansen

We predict the existence of an energy barrier for collapse in a system of two tunnel-coupled repulsive and attractive quasi two-dimensional condensates trapped in a double-well potential. The ground state in such a system can have a lower…

其他凝聚态物理 · 物理学 2009-11-10 Valery S. Shchesnovich , Solange B. Cavalcanti

As the fundamental quantum mechanical theory predicts, it is believed that electronic states can be bound only to potential wells and not to potential barriers in any dimension and their energies should be below the background potential.…

介观与纳米尺度物理 · 物理学 2018-11-26 Jhinhwan Lee

This paper treats a quantum network from a physical approach, explicitly finds the physical eigenstates and compares them to the quantum-graph description. The basic building block of a quantum network is an X-shaped potential well made by…

介观与纳米尺度物理 · 物理学 2018-04-18 Molte Emil Strange Andersen , Nikolaj Thomas Zinner

We review some results about the suppression of quantum beating in a one dimensional nonlinear double well potential. We implement a single particle double well potential model, making use of nonlinear point interactions. We show that there…

数学物理 · 物理学 2022-07-08 R. Carlone , R. Figari , C. Negulescu , L. Tentarelli

A prime example of quantum tunnelling is the semiclassical 'energy splitting' of the levels of a symmetrical double well potential, or equivalently the flipping rate of an instanton. Curiously the accepted expression for the ground state…

量子物理 · 物理学 2024-03-28 J. H. Hannay

It is proposed that the paradox of wave-particle duality in quantum mechanics may be resolved using a physical picture analogous to magnetic domains. Within this picture, a quantum particle represents a coherent region of a quantum wave…

量子物理 · 物理学 2007-05-23 Alan M. Kadin

We investigate theoretically the fractional quantum Hall effect at half-filling in the lowest Landau level observed in asymmetric wide quantum wells. The asymmetry can be achieved by a potential bias applied between the two sides of the…

介观与纳米尺度物理 · 物理学 2014-05-21 N. Thiebaut , M. O. Goerbig , N. Regnault

We analyze here the energy states and associated wave functions available to a particle acted upon by a delta function potential of arbitrary strength and sign and fixed anywhere within a one-dimensional infinite well. We consider how the…

量子物理 · 物理学 2010-08-03 T. B. Smith , D. A. Dubin , M. A. Hennings

Quantum tunneling between two potential wells in a magnetic field can be strongly increased when the potential barrier varies in the direction perpendicular to the line connecting the two wells and remains constant along this line. An…

量子物理 · 物理学 2009-11-11 B. Ivlev

A Gedanken experiment is described to explore a counter-intuitive property of quantum mechanics. A particle is placed in a one-dimensional infinite well. The barrier on one side of the well is suddenly removed and the chamber dramatically…

量子物理 · 物理学 2017-05-11 Bernhard K. Meister

We present new results on quantum tunneling between deep potential wells, in the presence of a strong constant magnetic field. We construct a family of double well potentials containing examples for which the low-energy eigenvalue splitting…

数学物理 · 物理学 2025-01-03 Charles L. Fefferman , Jacob Shapiro , Michael I. Weinstein

We consider a quantum particle in a waveguide which consists of an infinite straight Dirichlet strip divided by a thin semitransparent barrier on a line parallel to the walls which is modeled by a $\delta$ potential. We show that if the…

介观与纳米尺度物理 · 物理学 2007-05-23 P. Exner , D. Krejcirik

We consider a particle bound to a two-dimensional plane and a double well potential, subject to a perpendicular uniform magnetic field . The energy difference between the lowest two eigenvalues--the eigenvalue splitting--is related to the…

数学物理 · 物理学 2022-01-25 Charles L. Fefferman , Jacob Shapiro , Michael I. Weinstein

We study an anti-symmetric (square) well and barrier potential of depth/height $(V_0)$ placed between two rigid walls. Unlike the usual double-well, here the closely lying sub-barrier doublets need not be the lowest ones in the spectrum.…

量子物理 · 物理学 2014-06-19 Zafar Ahmed , Shashin Pavaskar , Indresh Yadav , Tanayveer Bhatia

Quantum tunneling is the quantum-mechanical effect where a particle tunnels through a classically forbidden region. Double Square Well Potential (DSWP) is a system where this phenomenon is feasible. Numerous phenomena can be illustrated by…

量子物理 · 物理学 2015-06-16 S. T. Tserkis , Ch. C. Moustakidis , S. E. Massen , C. P. Panos

We study the tunnelling trough a potential barrier of the system of two quantum correlated particles. The system is considered in one dimension. The interaction with the barrier and between particles is approximated by $\delta$-potentials.…

数学物理 · 物理学 2016-09-07 S. A. Avdonin , L. A. Dmitrieva , Yu. A. Kuperin , G. E. Rudin

This paper is devoted to the study of quantum dissipation in cluster decay phenomena in the frame of the Lindblad approach to quantum open systems. The tunneling of a metastable state across a piecewise quadratic potential is envisaged for…

量子物理 · 物理学 2016-09-08 S. Misicu