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Path integrals in multiply connected spaces and the Aharonov-Bohm interference 多连通空间中的路径积分与Aharonov-Bohm干涉
Pub Date : 1988-07-01 DOI: 10.1016/0378-4363(88)90173-8
J.Q. Liang

A topological phase factor arising from the homotopy theory of path integrals in multiply connected spaces is equivalent to the non-integrable phase of the Dirac wave function of a charge particle in the presence of an inaccessible, time-independent magnetic flux. The Aharonov-Bohm interference is analysed with the topological phase.

由多连通空间中路径积分的同伦理论产生的拓扑相位因子等价于存在不可达的、与时间无关的磁通量的电荷粒子的狄拉克波函数的不可积相位。用拓扑相位分析了Aharonov-Bohm干涉。
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引用次数: 6
Bell-type inequalities à la Schrödinger 贝尔型不等式<s:1> la Schrödinger
Pub Date : 1988-07-01 DOI: 10.1016/0378-4363(88)90186-6
K. Kraus

Already in 1935, Schrödinger assembled all prerequisites for a proof of Bell-type inequalities, namely: (i) a suitable two-particle state; (ii) a sufficient number of observables which are correlated in that state; and (iii) a tentative interpretation of these correlations in the spirit of local hidden-variables theories. The inequalities derived here from these assumptions are violated in quantum mechanics, which shows once more that quantum correlations cannot be understood in terms of local hidden-variables theories. This was realized before Bell (1964), since all previous authors — including Schrödinger — focused their attention to perfect correlations and underestimated the importance of the imperfect ones.

早在1935年,Schrödinger就汇集了证明贝尔型不等式的所有先决条件,即:(i)合适的两粒子态;(ii)在该状态下相关的足够数量的可观测值;(三)以局部隐变量理论的精神对这些相关性进行尝试性解释。从这些假设推导出的不等式在量子力学中被违背了,这再次表明量子相关性不能用局部隐变量理论来理解。这是在贝尔(1964)之前就认识到的,因为之前的所有作者——包括Schrödinger——都把注意力集中在完美相关性上,而低估了不完美相关性的重要性。
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引用次数: 1
Two- and three-dimensional tunnelling of neutral spin 12 particles through magnetic fields 中性自旋12粒子通过磁场的二维和三维隧穿
Pub Date : 1988-07-01 DOI: 10.1016/0378-4363(88)90164-7
A.O. Barut , M. Božić

Previous studies on the one-dimensional motion of neutral spin 12 particles with an anomalous magnetic moment in magnetic fields in nonrelativistic [1] and relativistic [2] cases are extended to two- and three-dimensional motions. Dirac equation with Pauli coupling is solved exactly.

以往对具有异常磁矩的中性自旋12粒子在非相对论性[1]和相对论性[2]磁场中的一维运动的研究,扩展到二维和三维运动。对具有泡利耦合的狄拉克方程进行了精确求解。
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引用次数: 2
A possible experimental verification of retroactivity 追溯性可能的实验验证
Pub Date : 1988-07-01 DOI: 10.1016/0378-4363(88)90194-5
C.W. Rietdijk

We consider a variant of Young's double-slit experiment with polarized photons for which quantum theory predicts that different amounts of angular momentum will be absorbed at a certain location M according as we set up a revolving plate or a Nicol prism at M. This difference, which implies a retroactive effect because angular momentum is a conserved quantity, can in principle be established experimentally. The relevant experiment differs fundamentally from Wheeler's delayed-choice experiments.

Another experiment is also discussed in which retroactivity cannot be expected to manifest, though it is seemingly similar to the first one.

Finally, we consider an analogous experiment with spin particles, in which it can also be expected from quantum mechanics that a retroactive effect will appear. Here, too, experimental verification is in principle possible.

我们考虑了杨氏偏振光子双缝实验的一种变体,量子理论预测,根据我们在M处设置旋转板或尼科尔棱镜,不同数量的角动量将在某一位置M被吸收。由于角动量是守恒量,这种差异意味着追溯效应,原则上可以通过实验建立。相关实验与惠勒的延迟选择实验有着根本的不同。还讨论了另一个实验,其中追溯性不能期望表现出来,尽管它看起来与第一个相似。最后,我们考虑一个类似的自旋粒子实验,在这个实验中,从量子力学也可以预期会出现追溯效应。在这方面,实验验证原则上也是可能的。
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引用次数: 0
Diffraction-grating neutron interferometers 衍射光栅中子干涉仪
Pub Date : 1988-07-01 DOI: 10.1016/0378-4363(88)90144-1
A.I. Ioffe

Aberration distortions of wavefronts in a very cold neutron interferometer using diffraction gratings are analyzed. Aberrations that considerably reduce the efficiency of a two-grating interferometer are shown to be fully compensable by adding a third diffraction grating, which also permits the interferometer to operate with a non-collimated and non-monochromatized illuminating beam thereby raising its efficiency. A fourth diffraction grating additionally permits compensation of effects of the terrestrial rotation that affect performance of a large interferometer in which the spatial separation of beams can be of the order of a few meters.

It is demonstrated to be practically possible to implement an interferometer for neutrons having a wavelength λ = 20 Å and to use it in experiments aimed at finding the electric charge of the neutron at the level of 10−23 to 10−22 of the electronic charge.

分析了采用衍射光栅的极冷中子干涉仪的波前像差畸变。像差,大大降低了效率的双光栅干涉仪被证明是完全可补偿的,通过增加第三个衍射光栅,这也允许干涉仪与非准直和非单色的照明光束,从而提高其效率。第四个衍射光栅还允许补偿影响大型干涉仪性能的地面旋转效应,其中光束的空间间隔可以达到几米的数量级。它被证明是实际可行的实现中子的干涉仪波长λ = 20 Å,并在实验中使用它旨在寻找中子的电荷水平在10−23至10−22的电子电荷。
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引用次数: 2
Zeeman energy, interference and Neutron Spin Echo: A minimal theory 塞曼能量、干涉和中子自旋回波:一个最小理论
Pub Date : 1988-07-01 DOI: 10.1016/0378-4363(88)90148-9
F. Mezei

In some polarized neutron beam experiments, such as Neutron Spin Echo spectroscopy, it is essential to follow exactly the minute changes of the neutron kinetic energy due to interaction with the magnetic fields, e.g. in a spin flip process. It is emphasized that in the Amperian current loop model of microscopic magnetism, shown to be valid by the experiments, the Zeeman energy term can be treated as a bona fide potential energy. This allows us to describe both the spin and the spatial motion of the neutron by using simple notions of wave propagation across potential steps. In this picture Larmor precessions are represented as interference between two Stern-Gerlach states ↑ and ↓. The approach proves to be sufficient for the interpretation of all known polarized neutron beam phenomena, including crystal interferometry. It also leads to the surprising prediction that, as a pure quantum effect, under special circumstances the Larmor precession frequency can be different from its classical value.

在一些极化中子束实验中,如中子自旋回波光谱,必须精确地跟踪由于与磁场相互作用而引起的中子动能的微小变化,例如在自旋翻转过程中。强调指出,在实验证明有效的微细磁电流环模型中,塞曼能项可以看作是真正的势能。这允许我们用简单的波在势阶上传播的概念来描述中子的自旋和空间运动。在该图中,Larmor岁差被表示为两个Stern-Gerlach状态↑和↓之间的干涉。该方法被证明足以解释所有已知的偏振中子束现象,包括晶体干涉测量。它还导致了一个令人惊讶的预测,作为一个纯量子效应,在特殊情况下,拉莫尔进动频率可以不同于它的经典值。
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引用次数: 35
Quantum effects in semiconductor components 半导体元件中的量子效应
Pub Date : 1988-07-01 DOI: 10.1016/0378-4363(88)90177-5
G. Dorda

The importance of quantum phenomena in semiconductor components, in particular in Si MOSFETs and GaAlAs/ GaAs heterostructures, is outlined. A short theoretical description of quantization effects in surface potential wells and at high magnetic fields is given. Multiple quantum well structures and modulation-doped heterostructures, as well as their possible applications are described. The discovery of the quantum Hall effect (QHE) is shown to be a result of the development of high-quality components. The features and the importance of the QHE for basic physics are outlined. Recent experimental data are discussed showing that the theoretical description of QHE is still unsatisfactory. A possible analogy of QHE to some features of superconductivity based on the idea of a changed effective mass is considered.

概述了半导体元件中量子现象的重要性,特别是在Si mosfet和GaAlAs/ GaAs异质结构中。对表面势阱和强磁场下的量子化效应作了简要的理论描述。描述了多量子阱结构和调制掺杂异质结构及其可能的应用。量子霍尔效应(QHE)的发现是高质量元件发展的结果。概述了QHE的特点及其对基础物理的重要性。讨论了最近的实验数据,表明QHE的理论描述仍然不令人满意。基于有效质量变化的思想,考虑了量子he与超导的一些特征的可能类比。
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引用次数: 1
Diffraction of atoms from a standing light wave 从驻波中衍射原子
Pub Date : 1988-07-01 DOI: 10.1016/0378-4363(88)90175-1
Peter J. Martin , Phillip L. Gould , Bruce G. Oldaker, Andrew H. Miklich, David E. Pritchard

This paper presents experiments concerning momentum transfer to atoms by a standing light wave in the absence of spontaneous decay. This momentum transfer, which occurs in discrete units of 2 ħ k along the k-vector of the standing light wave, can be viewed as absorption/stimulated emission of photon pairs from the counterpropagating traveling waves which make up the standing light wave. In a dual sense, this phenomenon can also be viewed as diffraction of an atomic de Broglie wave from the periodic intensity grating of the standing light wave. In addition, we address how the inherent Heisenberg uncertainty between the focussed waist of the standing light wave and the angular spread of the k-vectors of photons traveling through this waist affects momentum transfer to the atoms by the light. For large widths of the standing light wave, the reduction of the uncertainty in the direction of the photons results in resonances for the momentum transfer only for discrete values of atomic momentum along the k-vector of the standing light wave which satisfy the Bragg condition. We present experimental data which display the Pendellösung effect for Bragg scattering of atomic de Broglie waves from a standing light wave. Finally, we discuss the possibility of exploiting these phenomena to build an atomic interferometer, one that interferes atomic de Broglie waves.

本文介绍了在没有自发衰变的情况下,驻波向原子传递动量的实验。这种动量传递,沿着驻波的k矢量以2 k为离散单位发生,可以看作是来自组成驻波的反传播行波的光子对的吸收/受激发射。在双重意义上,这种现象也可以看作是原子德布罗意波从驻波的周期性强度光栅衍射而来。此外,我们还讨论了驻波聚焦腰和穿过该腰的光子k向量的角传播之间的固有海森堡不确定性如何影响光向原子的动量传递。对于较大宽度的驻波,光子方向不确定性的减小只会导致原子动量沿满足布拉格条件的驻波k矢量的离散值的动量传递共振。本文给出了原子德布罗意波在驻波中的布拉格散射Pendellösung效应的实验数据。最后,我们讨论了利用这些现象来建立原子干涉仪的可能性,这种干涉仪可以干涉原子德布罗意波。
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引用次数: 4
List of contributors 贡献者名单
Pub Date : 1988-07-01 DOI: 10.1016/0378-4363(88)90205-7
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引用次数: 0
List of participants 参会人员名单
Pub Date : 1988-07-01 DOI: 10.1016/0378-4363(88)90204-5
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引用次数: 0
期刊
Physica B+C
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