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The Quantum Mechanics Needsthe Principle of Wave-Function Collapse—But This Principle Shouldn’t Be Misunderstood 认领 引用 被引量:3
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作者 Sofia D. Wechsler 《Journal of Quantum Information Science》 CAS 2021年第1期42-63,共22页
The postulate of the collapse of the wave-function stands between the microscopic, quantum world, and the macroscopic world. Because of this intermediate position, the collapse process cannot be examined with the form... The postulate of the collapse of the wave-function stands between the microscopic, quantum world, and the macroscopic world. Because of this intermediate position, the collapse process cannot be examined with the formalism of the quantum mechanics (QM), neither with that of classical mechanics. This fact makes some physicists propose interpretations of QM, which avoid this postulate. However, the common procedure used in that is making assumptions incompatible with the QM formalism. The present work discusses the most popular interpretations. It is shown that because of such assumptions those interpretations fail, i.e. predict for some experiments results which differ from the QM predictions. Despite that, special attention is called to a proposal of S. Gao, the only one which addresses and tries to solve an obvious and major contradiction. A couple of theorems are proved for showing that the collapse postulate is necessary in the QM. Although non-explainable with the quantum formalism, this postulate cannot be denied, otherwise one comes to conclusions which disagree with the QM. It is also proved here that the idea of “collapse at a distance” is problematic especially in relativistic cases, and is a misunderstanding. Namely, in an entanglement of two quantum systems, assuming that the measurement of one of the systems (accompanied by collapse of that system on one of its states) collapses the other systems, too without the second system being measured, which leads to a contradiction. 展开更多
关键词 Quantum Mechanics Wave-Function Collapse Interpretations Elements of Reality
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Causality of Phase of Wave Function or Can Copenhagen Interpretation of Quantum Mechanics Be Considered Complete? 认领 引用 被引量:1
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作者 Ivan Georgiev Koprinkov 《Journal of Modern Physics》 2016年第4期390-394,共5页
Theoretical and experimental evidences of a causal relation of the phase of the wave function and physical reality are presented. The Copenhagen interpretation of quantum mechanics, which gives physical meaning to the... Theoretical and experimental evidences of a causal relation of the phase of the wave function and physical reality are presented. The Copenhagen interpretation of quantum mechanics, which gives physical meaning to the amplitude of the wave function only, cannot be considered complete on that ground. A new dynamics-statistical interpretation of quantum mechanics is proposed. 展开更多
关键词 Quantum Mechanics Wave Function Material Phase Causality Interpretation
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Explanation of Relation between Wave Function and Probability Density Based on Quantum Mechanics in Phase Space 认领 引用 被引量:1
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作者 Chol Jong Jin-Sim Kim +1 位作者 Shin-Hyok Jon Son-Il Jo 《World Journal of Mechanics》 2023年第1期20-72,共53页
The main problem of quantum mechanics is to elucidate why the probability density is the modulus square of wave function. For the purpose of solving this problem, we explored the possibility of deducing the fundamenta... The main problem of quantum mechanics is to elucidate why the probability density is the modulus square of wave function. For the purpose of solving this problem, we explored the possibility of deducing the fundamental equation of quantum mechanics by starting with the probability density. To do so, it is necessary to formulate a new theory of quantum mechanics distinguished from the previous ones. Our investigation shows that it is possible to construct quantum mechanics in phase space as an alternative autonomous formulation and such a possibility enables us to study quantum mechanics by starting with the probability density rather than the wave function. This direction of research is contrary to configuration-space formulation of quantum mechanics starting with the wave function. Our work leads to a full understanding of the wave function as the both mathematically and physically sufficient representation of quantum-mechanical state which supplements information on quantum state given solely by the probability density with phase information on quantum state. The final result of our work is that quantum mechanics in phase space satisfactorily elucidates the relation between the wave function and the probability density by using the consistent procedure starting with the probability density, thus corroborating the ontological interpretation of the wave function and withdrawing a main assumption of quantum mechanics. 展开更多
关键词 Quantum Ensemble Theory Quantum Mechanics In Phase Space Wave Function Probability Density Schrödinger Equation
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EXACT TRAVELING WAVE SOLUTIONS OF MODIFIED ZAKHAROV EQUATIONS FOR PLASMAS WITH A QUANTUM CORRECTION 认领 引用 被引量:4
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作者 房少梅 郭昌洪 郭柏灵 《Acta Mathematica Scientia》 SCIE CSCD 2012年第3期1073-1082,共10页
In this article, the authors study the exact traveling wave solutions of modified Zakharov equations for plasmas with a quantum correction by hyperbolic tangent function expansion method, hyperbolic secant expansion m... In this article, the authors study the exact traveling wave solutions of modified Zakharov equations for plasmas with a quantum correction by hyperbolic tangent function expansion method, hyperbolic secant expansion method, and Jacobi elliptic function ex- pansion method. They obtain more exact traveling wave solutions including trigonometric function solutions, rational function solutions, and more generally solitary waves, which are called classical bright soliton, W-shaped soliton, and M-shaped soliton. 展开更多
关键词 Modified Zakharov equations Quantum correction Exact traveling wave solution Function expansion method M-shaped soliton
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Building Wave Functions of the Outer Electron for Alkaline Atoms Theory and Wave Functions Representation 认领 引用
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作者 Amaury de Kertanguy 《Journal of Applied Mathematics and Physics》 2020年第11期2601-2612,共12页
The effects of the polarization potential serve to model spectra of alkaline atoms. These effects have been known for a long time and notably explained by the physicist Max Born (1926). The experimental knowledge of t... The effects of the polarization potential serve to model spectra of alkaline atoms. These effects have been known for a long time and notably explained by the physicist Max Born (1926). The experimental knowledge of these alkaline spectra enables us to specify the values of these quantum defects. A simple code is used to calculate two quantum defects for which δl can be distinguished as: δs l = 0 and δp l = 1. On the theoretical part, it is possible to have an analytical expression for these quantum defects δl. A second code gives the correct wave functions modified by the quantum defects δl with the condition for the principal number: n* = n – δl ≥ 1. It is well known that δl → 0 when the kinetic momentum l ≥ 4, and for such momenta the spectra turns out to be hydrogenic. Modern software such as Mathematica, allows us to efficiently generate the polynomes defining wave functions with fractional quantum numbers. This leads to a good theoretical representation of these wave functions. To get numerically the quantum defects, a simple code is given to obtain these quantities when the levels assigned to a transition are known. Then, the quantum defects are inserted into the arguments of the correct modified wave functions for the outer electron of an atom or ion undergoing the short range polarization potential. 展开更多
关键词 Polarization Potential Experimental Quantum Defects Quantum Wave Functions Mathematica Software
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Nonlocal Physics in the Wave Function Terminology 认领 引用 被引量:1
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作者 Boris V. Alexeev 《Journal of Applied Mathematics and Physics》 2021年第11期2889-2908,共20页
Shortcomings of the Boltzmann physical kinetics and the Schr&#246;dinger wave mechanics are considered. From the position of nonlocal physics, the Schr&#246;dinger equation is a local equation;this fact leads ... Shortcomings of the Boltzmann physical kinetics and the Schr&#246;dinger wave mechanics are considered. From the position of nonlocal physics, the Schr&#246;dinger equation is a local equation;this fact leads to the great shortcomings of the linear Schr&#246;dinger wave mechanics. Nonlocal nonlinear quantum mechanics is considered using the wave function terminology. 展开更多
关键词 Nonlocal Physics Transport Processes in Quantum Mechanics Shortcomings of the Schrödinger Equation Wave Function Terminology
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Atomic Quantum Mechanics Based on Atomic Functions 认领 引用
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作者 Sergei Yu. Eremenko 《Journal of Applied Mathematics and Physics》 2024年第11期3941-3963,共23页
Based on theorems, the Atomic AString Functions theory, evolving since the 1970s, is introduced into Quantum Mechanics to represent a wave function via the shifts and stretches of smooth finite Atomic Function pulses/... Based on theorems, the Atomic AString Functions theory, evolving since the 1970s, is introduced into Quantum Mechanics to represent a wave function via the shifts and stretches of smooth finite Atomic Function pulses/solitonic atoms. It leads to a novel ‘atomic interpretation’ where wave functions become the superpositions of localized Atomic Wave Functions, which can also describe collapsed wave functions, represent Gaussians, uphold Heisenberg’s uncertainly principle, and a more generic concept of Atomic Harmonic Oscillator. Atomic Functions can solve the boundary wave function discontinuity problem for particle-in-a-box and other solutions by introducing atomic wave packets. It highlights some limitations of the Schrödinger equation, yielding harmonic representations that may not be flexible enough to satisfy complex boundary conditions. The theory follows more generic research on Atomic Spacetime, quantum gravity, and field theories to derive common mathematical blocks of unified fields similar to loop quantum gravity and strings theories. 展开更多
关键词 Quantum Mechanics Atomic Function Atomic Wave Function Atomic Oscillator Atomic Spacetime Unified Theories
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基于python实现氢原子波函数的可视化 认领 引用
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作者 李镇 李晓霞 程绪信 《物理通报》 CAS 2026年第1期14-18,共5页
氢原子是量子力学中最简单的原子系统,但由于氢原子定态薛定谔方程的求解过程复杂,波函数、角动量理论等概念抽象,无法直接观察,导致学生难以理解氢原子的微观结构.以python为可视化手段,基于氢原子定态薛定谔方程的解析解,通过数值模... 氢原子是量子力学中最简单的原子系统,但由于氢原子定态薛定谔方程的求解过程复杂,波函数、角动量理论等概念抽象,无法直接观察,导致学生难以理解氢原子的微观结构.以python为可视化手段,基于氢原子定态薛定谔方程的解析解,通过数值模拟分析氢原子径向函数、角向函数、波函数及其概率密度的可视化,分别从主量子数、角动量量子数和磁量子数等3个方面研究氢原子电子云分布,进而更加全面直观地了解微观状态下氢原子中电子的行为. 展开更多
关键词 量子力学 氢原子波函数 python
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Bridging Classical and Quantum Realms: The Conceptual and Theoretical Framework of the Advanced Observer Model 认领 引用 被引量:2
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作者 Joseph H. C. Wong 《Journal of Quantum Information Science》 CAS 2024年第4期123-157,共35页
This paper presents the Advanced Observer Model (AOM), a groundbreaking conceptual framework designed to clarify the complex and often enigmatic nature of quantum mechanics. The AOM serves as a metaphorical lens, brin... This paper presents the Advanced Observer Model (AOM), a groundbreaking conceptual framework designed to clarify the complex and often enigmatic nature of quantum mechanics. The AOM serves as a metaphorical lens, bringing the elusive quantum realm into sharper focus by transforming its inherent uncertainty into a coherent, structured ‘Frame Stream’ that aids in the understanding of quantum phenomena. While the AOM offers conceptual simplicity and clarity, it recognizes the necessity of a rigorous theoretical foundation to address the fundamental uncertainties that lie at the core of quantum mechanics. This paper seeks to illuminate those theoretical ambiguities, bridging the gap between the abstract insights of the AOM and the intricate mathematical foundations of quantum theory. By integrating the conceptual clarity of the AOM with the theoretical intricacies of quantum mechanics, this work aspires to deepen our understanding of this fascinating and elusive field. 展开更多
关键词 Advanced Observer Model AOM Determinacy Indeterminacy Reverse Engineering Observer-Observed Interaction Quantum Wave Function Probability Density Function PDF Probability Space Potential Space Quantum Computing Quantum Information Processing Static Configuration SC Dynamic Configuration DC Sequence of Quantum States SQS Perceptual Sequence of Observations PSO Theory of Relativity Lorentz Transformation
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组分无序对Ga2O3/(AlxGa1-x)2O3核/壳量子盘中界面类氢杂质光电离截面的影响 认领 引用
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作者 杨昊 哈斯花 朱俊 《人工晶体学报》 CAS 北大核心 2026年第2期223-232,共10页
本文提出了一种新型核/壳量子盘结构,其核层和壳层由第四代超宽带隙半导体Ga2O3和(AlxGa1-x)2O3组成,通过结合有限差分法与变分法,研究该核/壳量子盘结构中杂质基态与非束缚态之间,以及不同杂质束缚态之间的光学子带... 本文提出了一种新型核/壳量子盘结构,其核层和壳层由第四代超宽带隙半导体Ga2O3和(AlxGa1-x)2O3组成,通过结合有限差分法与变分法,研究该核/壳量子盘结构中杂质基态与非束缚态之间,以及不同杂质束缚态之间的光学子带间跃迁及其对应的光电离截面。采用数值计算,首次考虑了Al组分无序的相关影响。结果表明,组分无序效应对杂质基态向非束缚态跃迁对应的光电离截面影响可忽略不计。相比之下,组分无序引起的随机势涨落,使不同杂质束缚态之间的跃迁光电离截面在共振峰处表现出显著变化。这些发现可为进一步探索基于超宽带隙材料的光子学和光电设备的应用提供理论指导。 展开更多
关键词 Ga2O3 核/壳量子盘 组分无序 光电离截面 结合能 波函数
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量子力学理论体系的演化 认领 引用
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作者 吴宥伸 《大学物理》 2026年第1期80-85,91,共6页
量子力学自20世纪初诞生以来,深刻改变了微观世界认知.本文将量子力学理论体系分为核心理论、物理诠释和扩展工具三类,系统回顾从1925年矩阵力学到21世纪贝叶斯量子力学的十四种代表性框架,按历史脉络分析其起源、核心概念、数学表达及... 量子力学自20世纪初诞生以来,深刻改变了微观世界认知.本文将量子力学理论体系分为核心理论、物理诠释和扩展工具三类,系统回顾从1925年矩阵力学到21世纪贝叶斯量子力学的十四种代表性框架,按历史脉络分析其起源、核心概念、数学表达及应用场景,通过类比阐释物理内涵,揭示量子力学从单粒子到多体系统、从具体运算到抽象代数的演化轨迹,探讨其对数学、哲学及量子信息领域的深远影响. 展开更多
关键词 量子力学 波函数 物理诠释
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Stable Quantum Filters with Scattering Phenomena 认领 引用 被引量:1
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作者 W.U.Ahamed C.Kambhampati 《International Journal of Automation and computing》 2008年第2期132-137,共6页
Quantum neural network filters for signal processing have received a lot of interest in the recent past. The implementations of these filters had a number of design parameters that led to numerical inefficiencies. At ... Quantum neural network filters for signal processing have received a lot of interest in the recent past. The implementations of these filters had a number of design parameters that led to numerical inefficiencies. At the same time the solution procedures employed were explicit in that the evolution of the time-varying functions had to be controlled. This often led to numerical instabilities. This paper outlines a procedure for improving the stability, numerical efficiency, and the accuracy of quantum neural network filters. Two examples are used to illustrate the principles employed. 展开更多
关键词 Filter estimation quantum neural network probability density function nonlinear wave equation
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There Also Can Be Fuzziness in Quantum States Itself—Breaking through the Framework and the Principle of Quantum Mechanics 认领 引用 被引量:1
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作者 Wenbing Qiu 《Journal of Modern Physics》 2020年第6期952-966,共15页
In this paper, an attempt is made to synthesize fuzzy mathematics and quantum mechanics. By using the method of fuzzy mathematics to blur the probability (wave) of quantum mechanics, the concept of fuzzy wave function... In this paper, an attempt is made to synthesize fuzzy mathematics and quantum mechanics. By using the method of fuzzy mathematics to blur the probability (wave) of quantum mechanics, the concept of fuzzy wave function is put forward to describe the fuzzy quantum probability. By applying the non-fuzzy formula of fuzzy quantity and Schrödinger wave equation of quantum mechanics, the membership function equation is established to describe the evolution of the fuzzy wave function. The concept of membership degree amplitude is introduced to calculate fuzzy probability amplitude. Some important concepts in fuzzy mathematics are also illustrated. 展开更多
关键词 Fuzzy Quantum Probability Fuzzy Wave Function Membership Function Membership Degree Amplitude Fuzzy Probability Amplitude
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基于量子化学计算的配位剂对电沉积影响机理的研究 认领 引用 被引量:1
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作者 邢波 张馥 +3 位作者 宋爱清 王馨怡 贺雨婷 石磊 《电镀与涂饰》 CAS 北大核心 2025年第5期54-61,共8页
[目的]通过量子化学计算方法研究不同配位剂在电沉积过程中的作用,揭示配位剂与电极表面及金属离子间的相互作用机制。[方法]以柠檬酸(Cit)、乙二胺四乙酸(EDTA)和三乙烯四胺(TETA)三种配位剂为例,利用Gaussian 16对金属配合物结构进行... [目的]通过量子化学计算方法研究不同配位剂在电沉积过程中的作用,揭示配位剂与电极表面及金属离子间的相互作用机制。[方法]以柠檬酸(Cit)、乙二胺四乙酸(EDTA)和三乙烯四胺(TETA)三种配位剂为例,利用Gaussian 16对金属配合物结构进行优化计算,结合能量分解分析(EDA)、前线轨道(HOMO-LUMO)能级分析和静电势(ESP)分析,研究配位键能量对沉积速率及镀层性能的影响。[结果]Cit-Ni模型的总相互作用能最低,配位键强度最高,有利于获得致密性和耐蚀性较好的镀层。EDTA-Fe和EDTA-Ni的配位键强度中等,镀层性能稳定,但沉积速率较低;TETA-Ni的配位键稳定性差。[结论]本研究可为电镀工艺中配位剂的选择提供理论依据。 展开更多
关键词 配位剂 量子化学 波函数分析 电沉积 理论计算
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Integrating Quantum Mechanics and the Advanced Observer Model: A New Paradigm for Reality Construction 认领 引用 被引量:1
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作者 Joseph H. C. Wong 《Journal of Quantum Information Science》 CAS 2024年第4期158-195,共38页
This paper introduces a groundbreaking synthesis of fundamental quantum mechanics with the Advanced Observer Model (AOM), presenting a unified framework that reimagines the construction of reality. AOM highlights the ... This paper introduces a groundbreaking synthesis of fundamental quantum mechanics with the Advanced Observer Model (AOM), presenting a unified framework that reimagines the construction of reality. AOM highlights the pivotal role of the observer in shaping reality, where classical notions of time, space, and energy are reexamined through the quantum lens. By engaging with key quantum equations—such as the Schrödinger equation, Heisenberg uncertainty principle, and Dirac equation—the paper demonstrates how AOM unifies the probabilistic nature of quantum mechanics with the determinism of classical physics. Central to this exploration is the Sequence of Quantum States (SQS) and Constant Frame Rate (CFR), which align with concepts like quantum superposition, entanglement, and wave function collapse. The model’s implications extend to how observers perceive reality, proposing that interference patterns between wave functions form the foundation of observable phenomena. By offering a fresh perspective on the interplay between determinacy and indeterminacy, AOM lays a robust theoretical foundation for future inquiry into quantum physics and the philosophy of consciousness. 展开更多
关键词 Advanced Observer Model (AOM) Quantum Mechanics Reality Construction Sequence of Quantum States (SQS) Constant Frame Rate (CFR) Wave Function Collapse Quantum Superposition Quantum Entanglement Observer Effect Determinacy vs. Indeterminacy ħ/CFR Model
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Quantum Computer on Nvidia GPU 认领 引用
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作者 Alexander Soiguine 《Journal of Applied Mathematics and Physics》 2023年第8期2195-2204,共10页
Geometric Algebra formalism opens the door to developing a theory deeper than conventional quantum mechanics. Generalizations, stemming from implementation of complex numbers as geometrically feasible objects in three... Geometric Algebra formalism opens the door to developing a theory deeper than conventional quantum mechanics. Generalizations, stemming from implementation of complex numbers as geometrically feasible objects in three dimensions, unambiguous definition of states, observables, measurements, Maxwell equations solution in those terms, bring into reality a kind of physical fields spreading through the whole three-dimensional space and values of the time parameter. The fields can be modified instantly in all points of space and time values, thus eliminating the concept of cause and effect, and perceiving of one-directional time. In the suggested theory all measured observable values get available all together, not through looking one by one. In this way quantum computer appeared to be a kind of analog computer keeping and instantly processing information by and on sets of objects possessing an infinite number of degrees of freedom. As practical implementation, the multithread GPUs bearing the CUDA language functionality allow to simultaneously calculate observable measurement values at a number of spaceime discrete points only restricted by the GPU threads capacity. 展开更多
关键词 Geometric Algebra Quantum Mechanics Wave Functions Maxwell Equations GPU CUDA
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Towards a Unified Theory of Everything: Integrating Discrete Time Evolution and Classical-Quantum Dynamics in the Advanced Observer Model (AOM) 认领 引用
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作者 Joseph H. C. Wong 《Journal of Quantum Information Science》 CAS 2024年第4期196-233,共38页
This paper introduces the Advanced Observer Model (AOM), a novel framework that integrates classical mechanics, quantum mechanics, and relativity through the observer’s role in constructing reality. Central to the AO... This paper introduces the Advanced Observer Model (AOM), a novel framework that integrates classical mechanics, quantum mechanics, and relativity through the observer’s role in constructing reality. Central to the AOM is the Static Configuration/Dynamic Configuration (SC/DC) conjugate, which examines physical systems through the interaction between static spatial configurations and dynamic quantum states. The model introduces a Constant Frame Rate (CFR) to quantize time perception, providing a discrete model for time evolution in quantum systems. By modifying the Schrödinger equation with CFR, the AOM bridges quantum and classical physics, offering a unified interpretation where classical determinism and quantum uncertainty coexist. A key feature of the AOM is its energy scaling model, where energy grows exponentially with spatial dimensionality, following the relationshipE∝(π)n. This dimensional scaling connects the discrete time perception of the observer with both quantum and classical energy distributions, providing insights into the nature of higher-dimensional spaces. Additionally, the AOM posits that spacetime curvature arises from quantum interactions, shaped by the observer’s discrete time perception. The model emphasizes the observer’s consciousness as a co-creator of reality, offering new approaches to understanding the quantum-classical transition. While speculative, the AOM opens new avenues for addressing foundational questions in quantum mechanics, relativity, dimensionality, and the nature of reality. 展开更多
关键词 Quantum Mechanics Schrödinger Equation Constant Frame Rate (CFR) Advanced Observer Model (AOM) Relativistic Physics Classical-Quantum Transition Wave Function Discrete Time Evolution Spacetime Geometry Unified Theory Quantum-Classical Unification Observer-Dependent Reality Energy Scaling
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利用声悬浮装置对一维无限深势阱中微观粒子的经典类比 认领 引用
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作者 刘蓓 刘玥辰 +4 位作者 陈汝一 徐菁 李品怡 郭红莲 杨玉平 《物理通报》 CAS 2025年第9期27-30,共4页
量子物理中一维无限深势阱中的物质波与经典物理中的声场驻波在波函数形式、能量量子化、概率密度等方面具有相似性.本论文借助声悬浮演示实验和虚拟仿真实验,将一维无限深势阱中抽象的科学概念和不可见的微观事实可视化,实现对量子物... 量子物理中一维无限深势阱中的物质波与经典物理中的声场驻波在波函数形式、能量量子化、概率密度等方面具有相似性.本论文借助声悬浮演示实验和虚拟仿真实验,将一维无限深势阱中抽象的科学概念和不可见的微观事实可视化,实现对量子物理的经典模拟,帮助学生实现宏观世界的经典物理知识点向微观世界的量子物理知识点迁移. 展开更多
关键词 量子物理 一维无限深势阱 声悬浮 波函数 概率密度
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基于量子粒子群的光伏系统MPPT控制方法仿真 认领 引用
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作者 关艳 蔡亦浓 《计算机仿真》 2025年第10期130-133,388,共4页
由于光伏系统的输出功率与光照强度等环境因素密切相关,具有非线性特性,当外部环境快速变化时,导致难以实时适应最大功率点跟踪(Maximum Power Point Tracking,MPPT),容易出现误跟踪现象,影响控制效果。为此,提出基于量子粒子群算法的... 由于光伏系统的输出功率与光照强度等环境因素密切相关,具有非线性特性,当外部环境快速变化时,导致难以实时适应最大功率点跟踪(Maximum Power Point Tracking,MPPT),容易出现误跟踪现象,影响控制效果。为此,提出基于量子粒子群算法的光伏系统MPPT控制方法。分析光伏阵列电压与电流、电压与功率曲线特性,得出系统MPPT控制的目标功率输出;通过Logistic函数和Beta分布优化量子粒子群算法,以提高搜索的效率和准确性;利用优化后的量子粒子群算法求解最优系统MPPT的目标功率输出控制参数,增强MPPT控制的实时适应性,最终根据此参数调整光伏系统MPPT控制,以达到MPPT的目标功率输出。结果表明,所提方法在相同与不同光照环境下都能保证光伏系统MPPT控制良好效果,且算法收敛性能好,有效提升系统作业工作效率。 展开更多
关键词 量子粒子群算法 光伏系统 最大功率点 功率 波函数
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MQHOA优化算法能级稳定过程及判据研究 认领 引用 被引量:4
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作者 周岩 王鹏 +2 位作者 辛罡 李波 王德志 《电子学报》 EI CAS CSCD 北大核心 2019年第6期1337-1343,共7页
多尺度量子谐振子算法(MQHOA)的能级稳定过程是算法的核心部分,对于避免算法陷入局部最优、提高算法求解精度具有重要作用.对算法能级稳定过程进行研究,发现不同的能级稳定判据,会造成算法在同一能级下不同的表现.相对宽松的判据使算法... 多尺度量子谐振子算法(MQHOA)的能级稳定过程是算法的核心部分,对于避免算法陷入局部最优、提高算法求解精度具有重要作用.对算法能级稳定过程进行研究,发现不同的能级稳定判据,会造成算法在同一能级下不同的表现.相对宽松的判据使算法在能级稳定过程中迭代不充分,容易陷入早熟.而更严格的判据能使波函数在同一能级下达到稳定状态,提高算法的全局搜索能力,但会增加算法的计算代价.通过实验证明,相对宽松的能级稳定判据对单峰简单函数具有良好的求解效果,严格的能级稳定判据适用于算法对多峰复杂函数的求解.算法在资源优化、自适应控制及能耗优化管理等方面已取得有效应用. 展开更多
关键词 优化算法 多尺度量子谐振子算法 能级稳定 量子计算 量子谐振子 波函数 量子退火
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