ENERGIES OF WEAKLY BOUND AND NEAR-THRESHOLD RESONANCE STATES OF A QUANTUM PARTICLE IN A TWO-DIMENSIONAL PLANE

V. V. Pupyshev

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ENERGIES OF WEAKLY BOUND AND NEAR-THRESHOLD RESONANCE STATES OF A QUANTUM PARTICLE IN A TWO-DIMENSIONAL PLANE

机译：二维平面中量子粒子的弱束缚和近阈共振态能量

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摘要

We assume that a slow quantum particle moves in a two-dimensional plane of a three-dimensional coordinate space and its motion occurs in the field of a central short-range potential. We show that the approximate energies of weakly bound and near-threshold resonance states of this particle are defined by the roots of transcendental equations with two parameters: the scattering length and the effective radius. We find the sufficient conditions for solvability of these equations and study the dependence of their solutions on the parameters.

机译：我们假设慢速量子粒子在三维坐标空间的二维平面中移动，并且其运动发生在中心短程电势的场中。我们表明，该粒子的弱束缚和近阈共振状态的近似能量由具有两个参数的先验方程的根定义：散射长度和有效半径。我们找到了这些方程可解的充分条件，并研究了它们的解对参数的依赖性。

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《Theoretical and mathematical physics》 |2014年第1期|共18页
作者
V. V. Pupyshev;
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正文语种 eng
中图分类物理学的数学方法;
关键词
two-dimensional scattering; effective radius approximation; near-threshold resonance state; weakly bound state;

机译：二维散射;有效半径近似;近阈共振态;弱束缚态;

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专利

1. ENERGIES OF WEAKLY BOUND AND NEAR-THRESHOLD RESONANCE STATES OF A QUANTUM PARTICLE IN A TWO-DIMENSIONAL PLANE [J] . V. V. Pupyshev Theoretical and mathematical physics . 2014,第1期

机译：二维平面中量子粒子的弱束缚和近阈共振态能量
2. Probing by transport the single-particle energy spectrum up to high energy of one quantum dot with the ground state of an adjacent weakly coupled quantum dot [J] . D. G. Austing, G. Yu, C. Payette, Physica Status Solidi. A, Applications and Materials Science . 2007,第2期

机译：通过传输单粒子能谱直至一个量子点的高能和邻近的弱耦合量子点的基态进行探测
3. Elastic scattering of intermediate-energy weakly bound particles on ~(12)C nuclei [J] . V. P. Mikhailyuk The European Physical Journal, A. Hadrons and Nuclei . 2000,第4期

机译：中能弱结合粒子在〜（12）C核上的弹性散射
4. Polaronic and Bound Polaronic Effects in The Energy States of An Electron in A Two-Dimensional Parabolic Quantum Dot in The Presence of Rashba Spin-Orbit interaction [C] . Kuntal Bhattacharyya, Ashok Chatterjee International Conference on Advances in Basic Sciences . 2019

机译：在Rashba旋转轨道相互作用的存在下，在二维抛物线量子点中的电子中的极性和结合的极性效应。
5. Transport in Weakly Coupled Vertical Double Quantum Dots: Single-Particle Energy Level Spectroscopy and Hyperfine Interaction Effects. [D] . Payette, Christopher. 2011

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ENERGIES OF WEAKLY BOUND AND NEAR-THRESHOLD RESONANCE STATES OF A QUANTUM PARTICLE IN A TWO-DIMENSIONAL PLANE

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