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The notion of a double well potential typically involves two regions of space separated by a repulsive potential barrier. The solution is a wave function that is suppressed in the barrier region and localized in the two surrounding regions.…

量子气体 · 物理学 2021-12-22 A. Ibrahim , F. Marsiglio

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…

化学物理 · 物理学 2007-05-23 Dmytro Babyuk

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…

量子物理 · 物理学 2011-03-23 C. J. Foot , M. Shotter

Highly accurate closed-form approximations are given for the ground state and first excited state wavefunctions and energies for a nonrelativistic particle in a one-dimensional double square well potential with a square barrier in between…

量子物理 · 物理学 2017-11-22 Don N. Page

The double well potential is arguably one of the most important potentials in quantum mechanics, because the solution contains the notion of a state as a linear superposition of `classical' states, a concept which has become very important…

物理教育 · 物理学 2012-11-21 V. Jelic , F. Marsiglio

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…

量子物理 · 物理学 2015-05-18 Guihua Tian

An asymmetric double-well potential is considered, assuming that the wells are parabolic around the minima. The WKB wave function of a given energy is constructed inside the barrier between the wells. By matching the WKB function to the…

量子物理 · 物理学 2016-08-04 Dae-Yup Song

A macroscopic, self-propelled wave-particle entity (WPE) that emerges as a walking droplet on the surface of a vibrating liquid bath exhibits several hydrodynamic quantum analogs. We explore the rich dynamical and quantum-like features…

混沌动力学 · 物理学 2025-02-17 Rahil N. Valani , Álvaro G. López

The system of double quantum wells separated by barriers is suggested for switching and modulation of light. The system has potential for high operational speed and large modulation depth.

介观与纳米尺度物理 · 物理学 2021-06-02 B. Laikhtman , S. Suchalkin , G. Belenky

The quantum mechanical behavior of a particle in a double well defies our intuition based on classical reasoning. Not surprisingly, an asymmetry in the double well will restore results more consistent with the classical picture. What is…

量子物理 · 物理学 2015-11-17 T. Dauphinee , F. Marsiglio

For an asymmetric double-well potential system, it is shown that, if the potential is quadratic until it reaches several times of the zero-point energies from the bottoms in each well, the energy eigenvalues of the low lying excited states…

量子物理 · 物理学 2015-03-18 Dae-Yup Song

Time analysis of oscillations of a particle between wells in the one-dimensional double-well potential with infinite high outside walls, based on wave packet use and energy spectrum analysis, is presented. For the double-well potential of…

核理论 · 物理学 2007-05-23 Sergei P. Maydanyuk

We propose the notion of quantum coherence for superpositions over states which are not necessarily mutually orthogonal. This anticipatedly leads to a resource theory of non-orthogonal coherence. We characterize free states and free…

Shallow one-dimensional double well potentials appear in atomic and molecular physics and other fields. Unlike the "deep" wells of macroscopic quantum coherent systems, shallow double wells need not present low-lying two-level systems. We…

We revisit a rectangular barrier as well as a rectangular well (pit) between two rigid walls. The former is the well known double-well potential and the latter is a hole potential. Let $|V_0|$ be the height (depth) of the barrier (well)…

量子物理 · 物理学 2014-02-03 Zafar Ahmed , Tanayveer Bhatia , Shashin Pavaskar , Achint Kumar

We propose to experimentally realize an odd parity eigenstate $\left\vert b\right\rangle $ of two atoms in the double well. The occupation probability of this state shows evident dependence on the interaction, distinct from the result of…

量子气体 · 物理学 2015-05-20 Yanxia Liu , Yunbo Zhang

We describe a simple quantum dot that consists of two crossed two-dimensional troughs. As such there is no potential well; nonetheless, this geometry gives rise to a bound state, centred on the point at which these troughs cross one…

介观与纳米尺度物理 · 物理学 2026-05-25 Connor Walsh , Ian MacPherson , Davidson Joseph , Suyash Kabra , Ripanjeet Singh Toor , Mason Protter , Frank Marsiglio

A two-body quantum correlation is calculated for a particle and an infinite potential well in which it is trapped or either a barrier or finite well over which it traverses. Correlated interference results when the incident and reflected…

量子物理 · 物理学 2014-05-06 F. V. Kowalski , R. S. Browne

A simple approximate solution for the quantum-mechanical quartic oscillator $V= m^2 x^2+g x^4$ in the double-well regime $m^2<0$ at arbitrary $g \geq 0$ is presented. It is based on a combining of perturbation theory near true minima of the…

数学物理 · 物理学 2015-05-13 Alexander V Turbiner

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…

量子物理 · 物理学 2019-04-15 Neetik Mukherjee , Amlan K. Roy
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