德布罗意关系中相关基本问题的澄清与修正

任晓敏; 张翼东

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Fundamental Clarification and Modification on de Broglie Relationship

首发时间：2024-06-12

REN Xiaomin ^{1
2
3}
REN Xiaomin (1958-), male, professor, information-photonics materials and devices, nanoheterostructures and quantum optoelectronics, bivergentum theory (theoretical physics and relevant topics of mathematics and philosophy)
ZHANG Yidong
ZHANG Yidong (1992-), male, PH D candidate, information-photonics materials and devices, bivergentum theory

1、State Key Laboratory of Information Photonics and Optical Communications at Beijing University of Posts and Telecommunications, Beijing 100876
2、 Zh. I. Alferov Russian-Chinese Joint Laboratory of Information Optoelectronics and Nanoheterostructures, Beijing 100876
3、 BUPT-HTGD Joint Laboratory of Quantum Optoelectonics and Bivergentum Theory, Beijing 100876

Abstract：The latest understanding on de Broglie relationship is presented in this paper. It has been found that some clarification and modification need to be made on the two formulae of the relationship. It has been proved theoretically that the particle energy in the relativistic sense which determines the wave frequency in the first formula should not include the rest-energy, while in the second formula, the wavelength is not unconditionally determined by the particle momentum only: in the case of zero potential energy, just as what currently known, the wavelength is determined uniquely by the momentum indeed; whereas, in the case of non-zero potential energy, the wavelength is determined not only by the momentum but also by the potential energy. Furthermore, by introducing a coefficient related to the ratio of the potential energy to the kinetic energy, called as the adjoint factor of wave velocity, the second formula can be modified as a more general one. Meanwhile, the above-mentioned theoretical conclusion of the rest-energy exclusion regarding the first formula and the theoretical judgement of the validity of the original second formula in the case of zero potential energy have been experimentally proved by adopting currently available results of RHEED experiments. In addition, an experimental scheme to prove the validity of the modified second formula in the case of non-zero potential energy is also suggested. It is supposed that this work would bring some more fundamental changes to the current theory of quantum mechanics.

keywords： theoretical physics de Broglie relationship wave-particle duality special theory of relativity rest energy adjoint factor of wave velocity RHEED

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德布罗意关系中相关基本问题的澄清与修正

任晓敏 ^{1
2
3}
REN Xiaomin (1958-), male, professor, information-photonics materials and devices, nanoheterostructures and quantum optoelectronics, bivergentum theory (theoretical physics and relevant topics of mathematics and philosophy)
张翼东 ^{1
2
3}
ZHANG Yidong (1992-), male, PH D candidate, information-photonics materials and devices, bivergentum theory

1、北京邮电大学信息光子学与光通信全国重点实验室，北京100876
2、若列斯·伊·阿尔费罗夫信息光电子学与纳异质结构中俄联合实验室，北京100876
3、北邮-亨通量子光电子学与弥聚子论联合实验室，北京 100876

摘要：本文给出对德布罗意关系的最新认知。作者发现，构成该关系的两个公式均存在不完善之处，故需作出澄清与修正。本文已从理论上证明，其第一个公式中用以决定波动频率的相对论意义上的粒子能量不应包含静能；而其第二个公式中的波长则不是无条件地仅由粒子动量所决定的：在零势能情形下，与目前的认知相符，波长的确是唯一地由粒子动量所决定的；然而，在非零势能情形下，波长便不再仅由粒子动量所决定，而是由粒子动量和势能共同决定。而且，通过在第二个公式中引入一个与势能和动能之间比值相关的、称之为波速伴随因子的系数，即可将其修正为一个更具普遍意义的公式。同时，通过引用既有的RHEED实验数据，上述有关在第一个公式中剔除静能的结论和原有第二个公式在零势能情形下成立的判定均已得到证实。此外，还就修正后的第二个公式在非零势能情形下正确性的实验验证方案提出了建议。这一工作有可能在相当广泛的意义上给量子力学现有理论带来新的基础性的变化。

关键词：理论物理学德布罗意关系波粒二象性狭义相对论静能波速伴随因子反射高能电子衍射

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REN Xiaomin,ZHANG Yidong. Fundamental Clarification and Modification on de Broglie Relationship[EB/OL]. Beijing:Sciencepaper Online[2024-06-12]. https://www.paper.edu.cn/releasepaper/content/202406-37.

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论文编号	202406-37
论文题目	德布罗意关系中相关基本问题的澄清与修正
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