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Eigenstates of a particle in a localized and unconfined harmonic potential well are investigated. Effects due to the variation of the potential parameters as well as certain results from asymptotic expansions are discussed.

Quantum Physics · Physics 2012-10-02 L. B. Castro , A. S. de Castro

The classical and quantum dynamics of a particle trapped in a one-dimensional infinite square well with a time periodic pulsed field is investigated. This is a two-parameter non-KAM generalization of the kicked rotor, which can be seen as…

Chaotic Dynamics · Physics 2009-11-07 R. Sankaranarayanan , A. Lakshminarayan , V. B. Sheorey

We describe a proposal to probe the quantum tunneling mechanism of an individual ion trapped in a double-well electromagnetic potential. The time-evolution of the probability of fluorescence measurement of the electronic ground state is…

Quantum Physics · Physics 2009-11-07 R. M. Serra , C. J. Villas-Boas , M. H. Y. Moussa

A growing number of dynamical situations involve the coupling of particles or singularities with physical waves. In principle these situations are very far from the wave-particle duality at quantum scale where the wave is probabilistic by…

Quantum Physics · Physics 2014-02-07 Stéphane Perrard , Matthieu Labousse , Marc Miskin , Emmanuel Fort , Yves Couder

We report on the first direct observation of coherent control of single particle tunneling in a strongly driven double well potential. In our setup atoms propagate in a periodic arrangement of double wells allowing the full control of the…

Quantum Physics · Physics 2009-11-13 E. Kierig , U. Schnorrberger , A. Schietinger , J. Tomkovic , M. K. Oberthaler

In the paper the dynamic localization of charged particle (electron) in a quantum wire under the external non-uniform time-dependent electric field is considered. The electrons are trapped in a deep 'dynamic' quantum wells which are the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Igor Tralle

Quantum mechanical control of the position of a particle by using a trapping potential well is an important problem for the manipulation of a quantum particle. We study the probability of successful conveyance of a particle trapping in a…

Quantum Physics · Physics 2025-01-07 Satoshi Morita , Yoshiaki Teranishi , Seiji Miyashita

The universal mechanism of trapping and localization of sufficiently slow-speed particles by a potential well deepening with time is established on the basis of fundamental relations of classical mechanics. Such wells may be created for a…

Classical Physics · Physics 2014-03-12 Azad Ch. Izmailov

We investigate numerically the tunneling effect under influence of another particle in a double well system. Such influence from only one degree of freedom makes decoherence and quantum-classical transition, i.e., suppression of the…

Quantum Physics · Physics 2007-05-23 Quanlin Jie , Bambi Hu , Guangjong Dong

Quantum entanglement occurs not just in discrete systems such as spins, but also in the spatial wave functions of systems with more than one degree of freedom. It is easy to introduce students to entangled wave functions at an early stage,…

Physics Education · Physics 2017-11-22 Daniel V. Schroeder

Within the framework of fractional quantum mechanics, an exact solution has been found for the energy spectrum of a quantum particle confined in a quantum well - a symmetric one-dimensional finite potential well. A simple graphical…

Quantum Physics · Physics 2025-09-01 Nick Laskin

We study the ground state of a large bosonic system trapped in a symmetric double-well potential, letting the distance between the two wells increase to infinity with the number of particles. In this context, one should expect an…

Mathematical Physics · Physics 2018-03-14 Nicolas Rougerie , Dominique Spehner

We numerically study influence of a polychromatic perturbation on wave acket dynamics in one-dimensional double-well potential. It is found that time-dependence of the tunneling probability shows two kinds of the motion typically, coherent…

Other Condensed Matter · Physics 2009-11-11 Akira Igarashi , Hiroaki S. Yamada

We present a new interpretation of the terms superposition, entanglement, and measurement that appear in quantum mechanics. We hypothesize that the structure of the wave function for a quantum system at the sub-Planck scale has a…

Quantum Physics · Physics 2009-08-10 Rajendra K Bera , Vikram Menon

We explore a regime of unipolar electronic transport in a multiple quantum well structure with very large current discontinuities - up to five orders of magnitude. Magneto-transport experiments reveal different transport regimes. Quantum…

Materials Science · Physics 2009-11-13 A. Gomez , V. Berger , N. Pere-Laperne , L. A. De Vaulchier

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

A subtle procedure to confine hydrodynamic modes on the free surface of a fluid is presented here. The experiment consists of a square vessel with an immersed square central well vibrating vertically so that the surface waves generated by…

We study acoustic propagation in one dimensional water ducts containing many air-filled blocks. The acoustic band structures for the periodic arrangements of the blocks is calculated, whereas the transmission for various random…

Condensed Matter · Physics 2015-06-24 Pi-Gang Luan , Zhen Ye

Quantum confinement is recognized to be an inherent property in low-dimensional structures. Traditionally it is believed that the carriers trapped within the well cannot escape due to the discrete energy levels. However, our previous…

Mesoscale and Nanoscale Physics · Physics 2024-05-21 Xinxin Li , Zhen Deng , Yang Jiang , Chunhua Du , Haiqiang Jia , Wenxin Wang , Hong Chen

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…

Quantum Physics · Physics 2016-09-08 S. Misicu