Comments on "On Bohm trajectories in two-particle interference devices" by L. Marchildon

Reply to: Comment on "Bohmian prediction about a two double-slit experiment and its disagreement with SQM"

In a recent paper, Struyve et al. [Struyve W, De Baere W, De Neve J and De Weirdt S 2003 J. Phys. A 36 1525] attempted to show that the thought experiment proposed in [Golshani M and Akhavan O 2001 J. Phys. A 34 5259, quant-ph/0103101] cannot distinguish between standard and Bohmian quantum mechanics. Here, we want to show that, in spite of their objection, our conclusion still holds out.

Comment on Macroscopic Test of the Aharonov-Bohm Effect

In this Comment it is shown that it cannot be argued that in the magnetic AB effect there is no force acting on the particle, i.e., that the observed phase shift is entirely due to nonzero vector potential. In stationary resistive conductors carrying constant currents there are quasistatic surface charges, which generate not only the electric field inside the wire driving the current, but also a static electric field outside it. These external static electric fields have nothing to do with Boyer's force picture and with his result for the existence of a time delay.

Comment on: "Aharonov-Bohm effect for bound states from the interaction of the magnetic quadrupole moment of a neutral particle with axial fields". Phys. Rev. A 101, 032102 (2020)

We analyze recently published results about the Aharonov-Bohm effect for bound states from the interaction of the magnetic quadrupole moment of a neutral particle with axial fields. We show that the eigenvalues obtained by the authors from an arbitrary truncation of the Frobenius power series correspond to more than one model and, consequently, are unsuitable for drawing any sound physical conclusion. Besides, the prediction of allowed oscillator frequencies is a mere consequence of the truncation condition just mentioned.

评述《量子粒子的能量-速度关系挑战玻姆力学》

Comment on "Energy-speed relationship of quantum particles challenges Bohmian mechanics"

本文反驳了Sharaglazova等人关于能量-速度关系挑战玻姆力学的论断，指出其误解源于操作速度与玻姆粒子速度的混淆，并基于标准玻姆引导方程证明实验与玻姆力学一致。

Comment on "Role of Potentials in the Aharonov-Bohm Effect"

Are the electromagnetic scalar and vector potentials dispensable? Lev Vaidman has suggested that local interactions of gauge-invariant quantities, e.g. magnetic torques, suffice for the description of all quantum electromagnetic phenomena. We analyze six thought experiments that challenge this suggestion. All of them have explanations in terms of $local$ interactions of gauge-dependent quantities, in addition, some have explanations in terms of nonlocal interactions of gauge-invariant quantities. We claim, however, that two of our examples have no gauge-invariant formal description and that, i…

Comment on "Quantum back-reaction through the Bohmian particle"

In this Comment I point out some limitations of the proposal of Prezhdo and Brooksby for coupling quantum and classical degrees of freedom (Phys.Rev.Lett.86(2001)3215) if it is pushed too far.

Comments on the Aharonov-Bohm Effect

In the original setting of the Aharonov-Bohm, the gauge invariant physical longitudinal mode of the vector potential, which is written by the gauge invariant physical current $(-e)\barψ{\boldsymbol γ} ψ$, gives the desired contribution to the Aharonov-Bohm effect. While the scalar mode of the vector potential, which changes under the gauge transformation so that it is the unphysical mode, give no contribution to the Aharonov-Bohm effect. Then Aharonov-Bohm effect really occurs by the physical longitudinal mode in the original Aharonov-Bohm's setting. In the setting of Tonomura {\it et al.}, wh…

Comment on "Observing the Average Trajectories of Single Photons in a Two-Slit Interferometer"

Kocsis et al. (Science, Reports 3 June 2011, p. 1170) state that the experimentally deduced average photon trajectories are identical to the particle trajectories of Bohm's quantum mechanics. No supporting evidence, however, was provided. The photon trajectories presented in their report do not converge to high probability regions, a familiar and necessary behavior of Bohm trajectories. We reanalyze their data and calculations, conclude that the average photon trajectories do indeed agree with Bohm, and discuss possible interpretations of this result.

Comment on "Relativistic Aharonov-Bohm effect in the presence of planar Coulomb potentials"

It is shown that the principal results of a recent work by Khalilov are incorrect. These errors are attributable to the author's insistence that wave functions must be regular at the origin even when the relevant potential is singular at that point.

Reply on `Comment on The relativistic Aharonov-Bohm-Coulomb system with position-dependent mass'

It is shown that the results of our paper are correct, although the use of the chirality operator $γ_5=σ_1$ in the paper is not correct, as fairly the authors of the Comment stated.

Reply to "Comment on "Aharonov-Casher and Scalar Aharonov-Bohm Topological Effects""

In this Reply we argue that (i) the Hamiltonian, Eq. (17) in our paper (Phys. Rev. Lett. 108, 070405 (2012)), is definitely Lorentz invariant; (ii) the conditions of generating topological Aharonov-Casher(AC) and Scalar Aharonov-Bohm (SAB) effects are essential and physically meaningful; (iii) the Hamiltonians both in Phys. Rev. Lett. 74, 2847 (1995) and arXiv:1311.4011 are not suitable to describe the polarized spinor particles.

Lorentz-invariant Bohmian Mechanics

A derivation of the Bohm model, and some general comments about it, are given. A modification of the model which is formally local and Lorentz-invariant is introduced, and its properties studied for a simple experiment.

Comment on "Aharonov-Casher and Scalar Aharonov-Bohm Topological Effects"

In this Comment we point out (i) that the Hamiltonian, Eq. (17) in the Letter(Phys. Rev. Lett. 108, 070405 (2012)), is not a relativistic Hamiltonian, (ii) then that the conditions in the Letter are irrelevant for a topological AC and SAB effects, and (iii) conclusively that the non-relativistic Hamiltonian employed by Peshkin and Lipkin (Phys. Rev. Lett. 74, 2847 (1995)) has the same $U(1)_{mm}$ gauge structure for a fixed spin and then is not wrong, but their incorrect interpretation of the spin autocorrelations led to the incorrect conclusion.

Comment on Hess-Philipp anti-Bell and Gill-Weihs-Zeilinger-Zukowski anti-Hess-Philipp arguments

We present comparative analysis of Gill-Weihs-Zeilinger-Zukowski arguments directed against Hess-Philipp anti-Bell arguments. In general we support Hess-Philipp viewpoint to the sequence of measurements in the EPR-Bohm experiments as stochastic time-like process. On the other hand, we support Gill-Weihs-Zeilinger-Zukowski arguments against the use of time-like correlations as the factor blocking the derivation of Bell-type inequalities. We presented our own time-analysis of measurements in the EPR-Bohm experiments based on the frequency approach to probability. Our analysis gives strong argume…

对“Aharonov-Bohm相是像其他量子相一样局部生成的”一文的评论

Comment on "Aharonov-Bohm Phase is Locally Generated Like All Other Quantum Phases"

本文反驳了Marletto和Vedral关于Aharonov-Bohm相通过纠缠局部生成的观点，指出其模型数学错误，AB相实际源于矢量势相互作用，而非纠缠。

Reply to ``Comment on `On the inconsistency of the Bohm-Gadella theory with quantum mechanics'''

In this reply, we show that when we apply standard distribution theory to the Lippmann-Schwinger equation, the resulting spaces of test functions would comply with the Hardy axiom only if classic results of Paley and Wiener, of Gelfand and Shilov, and of the theory of ultradistributions were wrong. As well, we point out several differences between the ``standard method'' of constructing rigged Hilbert spaces in quantum mechanics and the method used in Time Asymmetric Quantum Theory.

Comment on ``Quantum Phase of Induced Dipoles Moving in a Magnetic Field''

It has recently been suggested that an Aharonov-Bohm phase should be capable of detection using beams of neutral polarizable particles. A more careful analysis of the proposed experiment suffices to show, however, that it cannot be performed regardless of the strength of the external electric and magnetic fields.

对基于弱值的量子悖论与量子测量现实解释的关联的评论

Comment on "Association between quantum paradoxes based on weak values and a realistic interpretation of quantum measurements"

本文指出Aredes和Saldanha对弱值悖论的分析存在形式错误，通过Bohmian力学证明其结论不适用于所有弱值和量子理论，强调弱值后选择位置可被解释为量子系统属性。

基于希尔伯特空间的量子力学中的玻姆轨迹。测量问题的解决方案

Bohmian Trajectories Within Hilbert Space Based Quantum Mechanics. Solution of the Measurement Problem

本文提出了一种结合传统状态-可观测框架与玻姆理论特性的统一框架，通过扩展配置空间至谱空间来处理自旋等离散可观测量，并推导了冯·诺依曼投影规则。

解释玻姆量子势：从经典作用量精确计算量子波

Interpreting Bohm-like quantum potentials in "Computing quantum waves exactly from classical action"

本文通过扩展引理3.1的证明并引入玻姆量子势，论证了在费曼传播子构造中密度不依赖于空间坐标，从而玻姆量子势为零，解决了关于该引理证明缺失密度空间导数的争议。

Comment on ``Time-like flows of energy-momentum and particle trajectories for the Klein-Gordon equation''

Horton, Dewdney, and Nesteruk [quant-ph/0103114] have proposed Bohm-type particle trajectories accompanying a Klein-Gordon wave function psi on Minkowski space. From two vector fields on space-time, W^+ and W^-, defined in terms of psi, they intend to construct a timelike vector field W, the integral curves of which are the possible trajectories, by the following rule: at every space-time point, take either W = W^+ or W = W^- depending on which is timelike. This procedure, however, is ill-defined as soon as both are timelike, or both spacelike. Indeed, they cannot both be timelike, but they ca…