路易·德布罗意没有放弃

指出路易·德布罗意并没有放弃对正统量子力学的挑战 ;文章《波动力学的引路人———L 德布罗意》中所述与历史事实不符 .     

德布罗意物质波公式的建立

本文根据德布罗意在诺贝尔奖获奖典礼上的演讲稿“电子的波动性”的内容,系统介绍了德布罗意通过综合运用波动学、狭义相对论等的基本原理,一步步建立起了关于物质波理论的基本公式的过程,同时自然地引出了物质波的相速度和群速度,并清晰地阐明了它们对应的物理意义．     

L.V.德布罗意及其对量子力学创建的贡献

介绍了Ｌ．德布罗意如何提出作为量子力学基础之一的相位波及波粒二象性理论，并讨论了Ｌ．德布罗意对建立量子力学的贡献及其科学思想对现代科学产生的深远影响和重要意义。     

Space–time transformation for the propagator in de Broglie–Bohm theory

A linear space–time transformation proposed to calculate the propagator in the de Broglie–Bohm theory, viewed as an expansion of the guiding wave function over the velocity space. It is shown that the quantum evolution is preserved in its semiclassical scheme through this change. The case of variable-frequency harmonic oscillator is presented as an example.     

Bosons,fermions, and the Feshbach-Villars transformation

In this paper we develop a general method providing the relativistic equation of wave mechanics for the antiparticles within the frame of the theory of the fusion for particles with arbitrary values of spin (de Broglie, 1954). Such a method will enable us to discuss some fundamental differences between bosons and fermions.On leave at the Fondation Louis de Broglie, Paris.     

The motion of wavelets—An interpretation of the Schrödinger equation

There are stable wavelets which satisfy the Schrödinger equation. The motion of a wavelet is determined by a set of ordinary differential equations. In a certain limit, a wavelet turns out to be the known representation of a classical material point. A de Broglie wave is constructed by superposing similar free wavelets. Conventional energy eigensolutions of the Schrödinger equation can be interpreted as ensembles of wavelets. If the dynamics of wavelets form the quantum mechanical counterpart of Newton's dynamics of particles, then conventional quantum mechanics is the counterpart of Gibbs's mechanics of ensembles. In this way, conventional quantum mechanics is reinterpreted on a deterministic basis. A difficulty of quantum field theory is predictable from this point of view.     

On the structure of the quantum-mechanical probability models

In this paper the role of the mathematical probability models in the classical and quantum physics is shortly analyzed. In particular the formal structure of the quantum probability spaces (QPS) is contrasted with the usual Kolmogorovian models of probability by putting in evidence the connections between this structure and the fundamental principles of the quantum mechanics. The fact that there is no unique Kolmogorovian model reproducing a QPS is recognized as one of the main reasons of the paradoxical behaviors pointed out in the quantum theory from its early days.Paper written in honor of L. de Broglie.     

Wave-particle dualism and the interpretation of quantum mechanics

The realist interpretations of quantum theory, proposed by de Broglie and by Bohm, are re-examined and their differences, especially concerning many-particle systems and the relativistic regime, are explored. The impact of the recently proposed experiments of Vigier et al. and of Ghose et al. on the debate about the interpretation of quantum mechanics is discussed. An indication of how de Broglie and Bohm would account for these experimental results is given.     

Homodyne detection of de Broglie waves

According to de Broglie, a quantum object is composed of a wave which guides a corpuscle, both existing objectively in the space and time. The Copenhagen interpretation of quantum mechanics is completely different. The wavefunction is considered as a mathematical tool to calculate probabilities which collapses whenever a measurement is performed. In this letter we propose an experiment which can distinguish between the two approaches.     

On the Interference of Fullerenes and Other Massive Particles

We report the results of an optical analogue of the fullerene molecule diffraction experiment. Our results, and an analysis of the fullerene experiment, suggest that the patterns observed in the latter can be explained using a localized particle model. There is no evidence that the grating period contributed to the published fullerene diffraction pattern. De Broglie waves, if they exist, are unlikely to have played a significant part in the fullerene diffraction experiment. The observed patterns are not consistent with those expected according to wave theory for the experimental geometry corresponding to the slit-detector system and the de Broglie wavelength. The measurements were performed in the near field, making the demonstration of wave properties difficult. We outline a new classical approach to the electron and neutron interference experiments. The magnetic moment is crucial to this model, which emphasizes a mechanism for generating narrow-band continuum X-radiation. Some experiments are proposed which can decide between the suggested model and quantum mechanics, and which can also rule out an alternative stochastic model.     

The operator formalism of quantum mechanics from the viewpoint of short disturbances in nonrelativistic classical motion

The effect of short disturbances on nonrelativistic motion is formulated in terms of operators. Analogies with quantum mechanics are developed and some disparities noted. For the one-dimensional particle we obtain analogues of the de Broglie wave commonly associated with particle motion, Heisenberg's commutation relation, Schrödinger's equation, and the statistical interpretation. Whether these results have any bearing on quantum mechanics itself is left an open question.     

An experiment to test the reality of de Broglie waves

A second-order interferometric experiment in which de Broglie waves pass through a set of beamsplitters and progressively lose intensity, leading to a decrease in the visibility, is presented. On the contrary, since the intensity reduction is the same in the two overlapping waves, quantum mechanics predicts a constant visibility.     

On the mathematical form of de Broglie's cyclical action integral

Mathematical expressions for the entropyS, the average information gained per trial (ī) from information theory, and the de Broglie cyclical action integralA from his reinterpretation of wave mechanics are shown to be similar. The importance of this observation in our understanding ofS andī is considered. Furthermore, the similarity in the mathematical form of these functions indicates a possible route to further interpretation of de Broglie'sA and the nature of his “hidden thermostat.”     

De Broglie waves and the nature of mass

In this paper an attempt is made to interpret inertial mass as a consequence of the invariant periodicity associated with physical de Broglie waves. In the case of a free particle, such waves, observed from an arbitrary reference frame, would exhibit the velocity-dependent wavelength given by de Broglie's relation; and it is conjectured that the inertial and additive properties of mass (or, more precisely, the conservation of momentum and energy) can be related to nonlinear interference effects occurring between the de Broglie waves for different particles. This picture could throw light on the physical meaning of quantization and suggests the possibility of reformulating classical and quantum mechanics in terms of a quasi-classical nonlinear field theory in which both inertial and quantization effects result essentially from the periodicity of de Broglie waves.     

Macro-scale observation of curl-free vector potential: A manifestation of quantum modulation of the de Broglie wave

Experimental results are presented here reporting the detection of a curl-free vector potential on the macro-scale as contrasted with the detection on the micro-scale à la Aharonov-Bohm. Such a detection is attributed to the ‘quantum modulation’ of the plane wave state of the guiding centre motion of a charged particle in a magnetic field, which is generated concomitantly with the excitation of its Landau levels in a scattering episode, through the mechanism of quantum entanglement between the parallel and perpendicular degrees of freedom of the particle. Such a ‘quantum modulation’ is also a matter wave, but on the macro-scale, and leads to the ‘sensing’ of the curl-free vector potential on the macro-scale. Thus while the Aharonov-Bohm effect is attributed to the sensing of the curl-free vector potential by the de Broglie wave, its sensing on the macro-scale is attributed to the modulation of the de Broglie wave.     

The double slit experiment,the Aharonov-Bohm effect,and a new quantum potential theory: Towards a realistic interpretation of quantum mechanics

In this paper, a new proposal of the quantum potential theory is presented, along with a discussion of the two-slit interference experiment and the Aharonov-Bohm effect, which are explicitly calculated within the scheme adopted. The present formulation holds the notion of particle trajectory and follows the interpretation suggested by de Broglie and Bohm, the quantum potential being a manifestation of the quantum wave. This wave always satisfies the Schrödinger equation and is considered as areal and separate entity from the particle with which is associated. In our approach we try to circumvent some conceptual difficulties that prevent the de Broglie-Bohm's theory from fulfilling a complete objective program. New effects are predicted, specially for the Aharonov-Bohm experiment in the regime of high magnetic fields, and a setup for their detection is proposed.