Aharonov—Bohm磁通对一维铁磁链中孤子的影响

分析了Ａｈａｒｏｎｏｖ－Ｂｏｈｍ磁通对一维铁磁链中孤子的影响，结果表明Ａｈａｒｏｎｏｖ－Ｂｏｈｍ磁通对孤子的峰值、宽度、静止能量及有效质量均有影响。     

Aharonov－Bohm效应与电磁基础理论教学的改革

Ａｈａｒｏｎｏｖ－Ｂｏｈｍ效应与电磁基础理论教学的改革华南理工大学简趣玲１９５９年，阿哈罗诺夫（Ｙ．Ａｈａｒｏｎｏｖ）和玻姆（Ｄ．Ｂｏｈｍ）提出了一个理想实验，这个实验揭示了电磁场的势具有直接可观测的物理效应．即在电磁场场强为零，但电磁场的势不为零的...     

Aharonov-Bohm磁通对—维铁磁链中孤子的影响

分析了Aharonov-Bohm磁通对一维铁磁链中孤子的影响,结果表明Aharonov-Bohm磁通对孤子的峰值、宽度、静止能量及有效质量均有影响.     

介观圆筒持续电流——紧束缚近似下的严格解

证明了含Ａｈａｒｏｎｏｖ－Ｂｏｈｍ型磁通的空心圆筒中环行电流的单电子理论计算公式，它与圆筒形状及载流子属性（电荷与质量）无关，在紧束缚近似下采用完整晶体模型求得能量和电流的严格解，并研究了电流随磁通变化的周期往，以及持续电流的幅值随筒高与筒厚增大的可能性，获得一系列新结果。 关键词：     

单离子各向异性影响下的一维铁磁链中的孤子

利用行波解法，研究了考虑交换各向异性和单离子各向异性的一维铁磁链，得出椭圆函数波解和孤子解,并讨论了单离子各向异性对椭圆函数波和孤子的影响.研究表明：单离子各向异性对一维铁磁链中椭圆函数波和孤子的激发及其稳定性有显著影响.单离子各向异性不利于易轴铁磁链中椭圆函数波和孤子解的激发，但有利于它们的稳定；而在易平面铁磁链中，单离子各向异性使椭圆函数波和孤子激发变得容易，但不利于它们的稳定.此外，还讨论了单离子各向异性对一维各向同性铁磁链中的孤子激发具有的影响. 关键词： 各向异性 单离子各向异性 孤子 铁磁链     

介观系统中的几何位相和持续流

介观系统中的量子相干效应是一个在理论和应用方面具有重大意义的研究课题。本文系统全面地介绍包括Ａｈａｒｏｎｏｖ－Ｂｏｈｍ效应和Ａｈａｒｏｎｏｖ－Ｃａｓｈｅｒ效应在内的几何位相在介观系统中引发的诸如持续流等一系列新奇现象及其成因，详细讨论这些几何位相间的相互关系，评述了实验和理论研究的最新进展     

Berry相与AB相的关系

Ｂｅｒｒｙ曾论证，Ａｈａｒｏｎｏｖ－Ｂｏｈｍ相可以看成是Ｂｅｒｒｙ相。在论证中放弃了绝热近似，也未涉及量子态的非定态性。重新探讨了此论证，表明Ｂｅｒｒｙ的结论是正确的，但在该论证过程中需要作绝热近热似。     

介观系统中的几何位相和持续流

介观系统中的量子相干效应是一个在理论和应用方面具有重大意义的研究课题。本文系统全面地介绍包括Ａｈａｒｏｎｏｖ－Ｂｏｈｍ效应和Ａｈａｒｏｎｏｖ－Ｃａｓｈｅｒ效应在内的几何位相在介观系统中引发的诸如持续流等一系列新奇现象及其成因,详细讨论这些几何位相间的相互关系,评述了实验和理论研究的最新进展     

中性原子干涉实验

中性原子干涉实验干涉实验是古老的实验，最早的干涉是可见光干涉，演示了光的波动性。最早的物质粒子干涉是电子干涉。著名的电子双缝干涉演示了物质粒子的波动性，为量子力学建立奠定了基础。１９５９年Ａｈａｒｏｎｏｖ－Ｂｏｈｍ提出了ＡＢ效应的理论，１９６０年Ｃｈ...     

特殊磁通量下Aharonov-Bohm散射的简单解法

当ｅΦ／２πｈｃ取半整数时,用抛物从标非常简单地求解了Ａｈａｒｏｎｏｖ－Ｂｏｈｍ解射问题。当ｅΦ／２πｈｃ取整数时,对文献中给出的散射解作了修正。     

Line of magnetic monopoles and an extension of the Aharonov–Bohm effect

In the Landau problem on the two-dimensional plane, physical displacement of a charged particle (i.e., magnetic translation) can be induced by an in-plane electric field. The geometric phase accompanying such magnetic translation around a closed path differs from the topological phase of Aharonov and Bohm in two essential aspects: The particle is in direct contact with the magnetic field and the geometric phase has an opposite sign from the Aharonov–Bohm phase. We show that magnetic translation on the two-dimensional cylinder implemented by the Schrödinger time evolution truly leads to the Aharonov–Bohm effect. The magnetic field normal to the cylinder’s surface corresponds to a line of magnetic monopoles of uniform density whose simulation is currently under investigation in cold atom physics. In order to characterize the quantum problem, one needs to specify the value of the magnetic flux (modulo the flux unit) that threads but not in touch with the cylinder. A general closed path on the cylinder may enclose both the Aharonov–Bohm flux and the local magnetic field that is in direct contact with the charged particle. This suggests an extension of the Aharonov–Bohm experiment that naturally takes into account both the geometric phase due to local interaction with the magnetic field and the topological phase of Aharonov and Bohm.     

Quasi-local action of curl-less vector potential on vortex dynamics in superconductors

Studies of the Abrikosov vortex motion in superconductors based on time-dependent Ginzburg–Landau equations reveal an opportunity to detect the values of the Aharonov–Bohm type curl-less vector potentials without closed-loop electron trajectories encompassing the magnetic flux.     

Necessary and sufficient conditions for the presence of global potentials in space

It is shown that either the presence of a magnetic flux in a finite spatial region or jumps in the field strength are necessary to generate a global potential. The problem of detecting the magnetic Aharonov—Bohm effect is discussed.     

Aharonov–Bohm effects in magnetohydrodynamics

It is shown that an Aharonov–Bohm (AB) effect exists in magnetohydrodynamics (MHD). This effect is best described in terms of the MHD variational variables (Kats, 2004; Yahalom and Lynden-Bell, 2008; Yahalom, 2010) [1], [10], [12]. If a MHD flow has a non-trivial topology some of the functions appearing in the MHD Lagrangian are non-single-valued. These functions have properties similar to the phases in the AB celebrated effect (Aharonov and Bohm, 1959; van Oudenaarden et al., 1998) [2], [3]. While the manifestation of the quantum AB effect is in interference fringe patterns (Tonomura et al., 1982) [4], the manifestation of the MHD Aharonov–Bohm effects are through new dynamical conservation laws.     

The Aharonov–Bohm effect in noncommutative quantum mechanics

The Aharonov–Bohm effect in noncommutative (NC) quantum mechanics is studied. First, by introducing a shift for the magnetic vector potential we give the Schrödinger equations in the presence of a magnetic field on NC space and NC phase space, respectively. Then, by solving the Schrödinger equations, we obtain the Aharonov–Bohm phase on NC space and NC phase space, respectively.     

Holonomic quantum computation based on the scalar Aharonov–Bohm effect for neutral particles and linear topological defects

We discuss holonomic quantum computation based on the scalar Aharonov–Bohm effect for a neutral particle. We show that the interaction between the magnetic dipole moment and external fields yields a non-abelian quantum phase allowing us to make any arbitrary rotation on a one-qubit. Moreover, we show that the interaction between the magnetic dipole moment and a magnetic field in the presence of a topological defect yields an analogue effect of the scalar Aharonov–Bohm effect for a neutral particle, and a new way of building one-qubit quantum gates.     

Impurity-modulated Aharonov–Bohm oscillations and intraband optical absorption in quantum dot–ring nanostructures

In this work we study the electronic states in quantum dot–ring complex nanostructures with an on-center hydrogenic impurity. The influence of the impurity on Aharonov–Bohm energy spectra oscillations and intraband optical absorption is investigated. It is shown that in the presence of a hydrogenic donor impurity the Aharonov–Bohm oscillations in quantum dot–ring structures become highly tunable. Furthermore, the presence of the impurity drastically changes the intraband absorption spectra due to the strong controllability of the electron localization type.     

Quantum transport in carbon nanotubes

A survey will be given on selected experiments showing evidence of quantum transport in carbon nanotubes. The phenomena involve electron confinement, single electron effects and Coulomb–Blockade, Kondo-physics, conductance quantisation, Aharonov–Bohm effect, phase breaking in ballistic transport, and magnetochiral anisotropy.     

Tunable strength saddle-point contacts impact on quantum rings transmission

A particular subject of investigation is the role of several sadle-point contact (QPC) parameters on the scattering properties of an Aharonov–Bohm–Aharonov–Casher quantum ring (QR) under Rashba-type spin orbit interaction. We discuss the interplay of the conductance with the confinement strengths and height of the QPC, which yields new and tunable harmonic and non-harmonics patterns, while one manipulates these constriction parameters. This phenomenology may be of utility to implement a novel way to modulate spin interference effects in semiconducting QRs, providing an appealing test-platform for spintronics applications.