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Springer eBooks

Properties of Quantum Waves

F. Selleri

Published Jan 1, 1990• 0 citations
Publisher
DOI
10.1007/978-94-009-1862-7_4

Related papers

Wave and particle properties can be spatially separated in a quantum entity

Pratyusha Chowdhury, Arun Kumar Pati, Jing‐Ling Chen

Wave and particle are two fundamental properties of nature. The wave–particle duality has indicated that a quantum object may exhibit the behaviors of both wave and particle, depending upon the circumstances of the experiment. The major significance of wave–particle duality has led to a fundamental equation in quantum mechanics: the Schrödinger equation. At present, the principle of wave–particle duality has been deeply rooted in people’s hearts. This leads to a common-sense perception that wave property and particle property coexist simultaneously in a quantum entity, and these two physical attributes cannot be completely separated from each other. In classical physics, a similar common-sense thought is that a physical system is inseparable from its physical properties. However, this has been recently challenged and beaten by a quantum phenomenon called the “quantum Cheshire cat,” in which a cat and its grin can be spatially separated. In this work, we propose a thought experiment based on the technology similar to the quantum Cheshire cat. We find that wave and particle attributes of a quantum entity can be completely separated, thus successfully dismantling the wave–particle duality for a quantum entity. Our result is still consistent with the complementarity principle and deepens the understanding of quantum foundations.

arXiv:2009.00545•Photonics Research•May 11, 2021•11 citations

Quantum and Classical Waves

Springer series in materials science•Jan 1, 2006•0 citations

Wave‐Particle‐Mixedness Relationships Based on l p ‐norm Coherence

Weining Li, Ming Fang, Yuan-Hong Tao +2 more

ABSTRACT We investigate the relationships among the wave property, particle property and mixedness of quantum states based on the ‐norm coherence. By conforming that the ‐norm coherence is an appropriate measure of wave property and introducing a measure of particle property based on the differences between the maximal ‐norm coherence and the general ‐norm coherence, we present tradeoff relationships among the wave, particle and mixedness of quantum states. For , we establish two kinds of tradeoffs of the wave, particle and mixedness with respect to the upper and lower bounds of the ‐norm coherence given by the ‐norm coherence. These trade relations give rise to compressive understanding of the intrinsic connections among the wave, particle and mixedness of quantum states, and cover some existing results as particular ones.

Annalen der Physik•Feb 28, 2026•1 citation

Quantum and Classical Waves

Ping Sheng

Elsevier eBooks•Jan 1, 1995•0 citations

Wave-Particle-Mixedness Relationships Based on lp-norm Coherence

Wei-Ning Li, Ming Fang, Yuan-Hong Tao +2 more

We investigate the relationships among the wave property, particle property and mixedness of quantum states based on the lp-norm coherence. By conforming that the lp-norm coherence is an appropriate measure of wave property and introducing a measure of particle property based on the differences between the maximal l2-norm coherence and the general l2-norm coherence, we present tradeoff relationships among the wave, particle and mixedness of quantum states. For 1<= p <2, we establish two kinds of tradeoffs of the wave, particle and mixedness with respect to the upper and lower bounds of the lp-norm coherence given by the l2-norm coherence. These trade relations give rise to compressive understanding of the intrinsic connections among the wave, particle and mixedness of quantum states, and cover some existing results as particular ones.

quant-pharXiv:2511.05937•Nov 11, 2025•0 citations

The Wave Properties of Matter: The Physical Aspect

Liudmila Borisovna Boldyreva

The aim of the paper is to show that there is a physical process which could underlie the wave properties of matter. A comparison has been drawn between the properties of a pair of electrically unlike virtual particles created by a quantum entity in the physical vacuum and the characteristics of the quantum entity wave function. Analogies were revealed between the spin precession frequency of pair of virtual particles and the wave function frequency, between the size of the electric dipole produced by a pair of virtual particles and the wave function wavelength, and also between the angle of spin precession of pair of virtual particles and the wave function phase. It is shown that quantum correlations of quantum entities may be caused by spin correlations (by spin supercurrents) between virtual particles created by the quantum entities in the physical vacuum. It is shown that the wave properties of a quantum entity are due to precession of spin of pair of virtual particles created by the quantum entity in the physical vacuum.

International Journal of Physics•Oct 26, 2014•4 citations
Wave and particle are two fundamental properties of nature. The wave–particle duality has indicated that a quantum object may exhibit the behaviors of both wave and particle, depending upon the circumstances of the experiment. The major significance of wave–particle duality has led to a fundamental equation in quantum mechanics: the Schrödinger equation. At present, the principle of wave–particle duality has been deeply rooted in people’s hearts. This leads to a common-sense perception that wave property and particle property coexist simultaneously in a quantum entity, and these two physical attributes cannot be completely separated from each other. In classical physics, a similar common-sense thought is that a physical system is inseparable from its physical properties. However, this has been recently challenged and beaten by a quantum phenomenon called the “quantum Cheshire cat,” in which a cat and its grin can be spatially separated. In this work, we propose a thought experiment based on the technology similar to the quantum Cheshire cat. We find that wave and particle attributes of a quantum entity can be completely separated, thus successfully dismantling the wave–particle duality for a quantum entity. Our result is still consistent with the complementarity principle and deepens the understanding of quantum foundations.
ABSTRACT We investigate the relationships among the wave property, particle property and mixedness of quantum states based on the ‐norm coherence. By conforming that the ‐norm coherence is an appropriate measure of wave property and introducing a measure of particle property based on the differences between the maximal ‐norm coherence and the general ‐norm coherence, we present tradeoff relationships among the wave, particle and mixedness of quantum states. For , we establish two kinds of tradeoffs of the wave, particle and mixedness with respect to the upper and lower bounds of the ‐norm coherence given by the ‐norm coherence. These trade relations give rise to compressive understanding of the intrinsic connections among the wave, particle and mixedness of quantum states, and cover some existing results as particular ones.
We investigate the relationships among the wave property, particle property and mixedness of quantum states based on the lp-norm coherence. By conforming that the lp-norm coherence is an appropriate measure of wave property and introducing a measure of particle property based on the differences between the maximal l2-norm coherence and the general l2-norm coherence, we present tradeoff relationships among the wave, particle and mixedness of quantum states. For 1<= p <2, we establish two kinds of tradeoffs of the wave, particle and mixedness with respect to the upper and lower bounds of the lp-norm coherence given by the l2-norm coherence. These trade relations give rise to compressive understanding of the intrinsic connections among the wave, particle and mixedness of quantum states, and cover some existing results as particular ones.
The aim of the paper is to show that there is a physical process which could underlie the wave properties of matter. A comparison has been drawn between the properties of a pair of electrically unlike virtual particles created by a quantum entity in the physical vacuum and the characteristics of the quantum entity wave function. Analogies were revealed between the spin precession frequency of pair of virtual particles and the wave function frequency, between the size of the electric dipole produced by a pair of virtual particles and the wave function wavelength, and also between the angle of spin precession of pair of virtual particles and the wave function phase. It is shown that quantum correlations of quantum entities may be caused by spin correlations (by spin supercurrents) between virtual particles created by the quantum entities in the physical vacuum. It is shown that the wave properties of a quantum entity are due to precession of spin of pair of virtual particles created by the quantum entity in the physical vacuum.