scholarly journals Modelling Wave-Particle Duality of Classical Particles and Waves

2021 ◽  
Author(s):  
Chen Yang ◽  
S. Olutunde Oyadiji
Keyword(s):  
Quantum Mechanics ◽  
Classical Mechanics ◽  
Mathematical Structure ◽  
Momentum Exchange ◽  
The Past ◽  
Wave Particle Duality ◽  
Classical Waves ◽  
Fundamental Phenomenon ◽  
Energy And Momentum ◽  
Classical Particles

Abstract Wave-particle duality is the fundamental phenomenon of particles and fields in quantum mechanics. In the past, the trajectory-like (particle-like) behaviour and wave-like behaviour has been considered separately. In this article, a superimposed model is derived to characterise wave-particle duality of classical particles. The superimposed model reflects an invariant mathematical structure (analogous variables and differential equations) from classical mechanics, classical field theories and quantum mechanics. Its analytical solution carries trajectory-like property (phase-independent) and wave-like property (phase-dependent) of particles that is consistent with to Schrodinger’s picture. Subsequently, the presented model is applied to model duality of classical waves in electromagnetism, acoustics and elasticity. The analysis implies the existence of quantum effects of classical waves at macroscopic scale. It predicts quantum picture on energy and momentum exchange between classical particles and waves. As seen in the model, wave-particle duality reflects inherent and indispensable characteristics of classical objects.

scholarly journals Quantum Mechanics Needs No Interpretation

2005 ◽  
Vol 70 (5) ◽  
pp. 621-637 ◽  
Author(s):  
Lubomír Skála ◽  
Vojtěch Kapsa
Keyword(s):  
Quantum Mechanics ◽  
Equations Of Motion ◽  
Classical Mechanics ◽  
Mathematical Structure ◽  
Uncertainty Relations ◽  
Mean Values ◽  
Vector Potentials ◽  
Probability Densities ◽  
Klein Gordon ◽  
Definition Of

Probabilistic description of results of measurements and its consequences for understanding quantum mechanics are discussed. It is shown that the basic mathematical structure of quantum mechanics like the probability amplitudes, Born rule, probability density current, commutation and uncertainty relations, momentum operator, rules for including scalar and vector potentials and antiparticles can be derived from the definition of the mean values of powers of space coordinates and time. Equations of motion of quantum mechanics, the Klein-Gordon equation, Schrödinger equation and Dirac equation are obtained from the requirement of the relativistic invariance of the theory. The limit case of localized probability densities leads to the Hamilton-Jacobi equation of classical mechanics. Many-particle systems are also discussed.

GEOMETRIC STRUCTURES IN PHYSICS

2012 ◽  
Vol 09 (02) ◽  
pp. 1260026 ◽  
Author(s):  
L. J. BOYA
Keyword(s):  
Hilbert Space ◽  
General Relativity ◽  
Quantum Mechanics ◽  
Path Integral ◽  
Riemannian Manifolds ◽  
Symplectic Geometry ◽  
Gauge Theories ◽  
Classical Mechanics ◽  
The Past ◽  
Modern Physics

Geometry and Physics developed independently, until the past twentieth century, where physicists realized geometry is rather flexible and can adapt itself to the needs and characteristics of modern physics. Besides the use of Riemannian manifolds to describe General Relativity, classical mechanics encounters symplectic geometry, not to speak of the bundle connection ingredient of modern gauge theories; even Quantum Mechanics, after the initial Hilbert space period, is seeking nowadays to adapt itself better to a geometrical interpretation, by imperatives of the path integral description and also to incorporate more clearly the symplectic aspects of its classical antecedent.

The Concept of the Photon in Question

2012 ◽  
Vol 43 (4) ◽  
pp. 453-491 ◽  
Author(s):  
Indianara Silva ◽  
Olival Freire
Keyword(s):  
Twentieth Century ◽  
Quantum Mechanics ◽  
Quantum Optics ◽  
History Of Physics ◽  
Major Event ◽  
Physics Teaching ◽  
Low Intensity ◽  
Wave Particle Duality ◽  
History Of ◽  
Energy And Momentum

The history of the concept of the photon in twentieth-century physics is far from a simple story opening with Einstein’s vision of light as a collection of indivisible particles whose energy and momentum are conserved during its interaction with matter, and reaching closure with the wave-particle duality as an accomplishment of quantum mechanics. Since then there has been an intermittent debate on the need for and adequacy of such a concept, even if this debate has been absent from the literature on the history of physics and from physics teaching. This paper analyzes a major event which led to the revival of this debate, namely, the experiment carried out by Robert Hanbury Brown and Richard Quentin Twiss (HBT) in 1956 in the context of low-intensity interferometry. As part of their work to build a new kind of interferometer to measure the diameter of optical stars, their results seemed to suggest that photons split through two different channels and detectors. These results stirred up a debate involving Edward Purcell, Eric Brannen, Harry Ferguson, Peter Fellgett, Richard Sillitto, Lajos Jánossy, Leonard Mandel, and Emil Wolf, in addition to Hanbury Brown and Twiss themselves. The building of this device in astronomy thus renewed the old controversy about the nature of light. Later on, with the invention of lasers, the HBT experimental results played a role in developments leading to the creation of quantum optics and currently play a role in various fields in physics.

scholarly journals A new epoch of quantum manipulation

2013 ◽  
Vol 1 (1) ◽  
pp. 91-100 ◽  
Author(s):  
Yongjian Han ◽  
Zhen Wang ◽  
Guang-Can Guo
Keyword(s):  
Quantum Mechanics ◽  
Quantum System ◽  
Nobel Prize ◽  
Quantum Computer ◽  
Classical Mechanics ◽  
Quantum Systems ◽  
Microscopic Particle ◽  
Nobel Prize In Physics ◽  
Classical Particles

Abstract The behavior of individual microscopic particles, such as an atom (or a photon), predicted using quantum mechanics, is dramatically different from the behavior of classical particles, such as a planet, determined using classical mechanics. How can the counter-intuitive behavior of the microscopic particle be verified and manipulated experimentally? David Wineland and Serge Haroche, who were awarded the Nobel Prize in physics in 2012, developed a set of methods to isolate the ions and photons from their environment to create a genuine quantum system. Furthermore, they also developed methods to measure and manipulate these quantum systems, which open a path not only to explore the fundamental principles of quantum mechanics, but also to develop a much faster computer: a quantum computer.

scholarly journals A Feasible Interpretation of the Wave-particle Duality Origin of Microscopic Matter Particles

2019 ◽  
Author(s):  
wei fan ◽  
wei fan
Keyword(s):  
Quantum Mechanics ◽  
Classical Mechanics ◽  
Mathematical Representation ◽  
Material World ◽  
Physical Motion ◽  
Wave Particle Duality ◽  
Mechanical Probability ◽  
Laws Of Motion ◽  
Definition Of ◽  
Probability Wave

Classical mechanics describes the laws of motion in the macroscopic material world, while quantum mechanics describes the laws of motion in the microscopic material world that classical mechanics cannot explain, and achieves a highly accurate mathematical representation of the laws of microscopic physical motion. But even with such a successful theory, there is confusion about the probability wave. Therefore, this paper attempts to improve the physical definition of the conceptual basis of quantum mechanics, thus solving the confusion of quantum mechanical probability waves, and finally proposes a feasible interpretation of the wave-particle duality origin of microscopic matter particles.

Sound as a transverse wave

2017 ◽  
Vol 13 (1) ◽  
pp. 4522-4534
Author(s):  
Armando Tomás Canero
Keyword(s):  
Quantum Mechanics ◽  
Gravitational Waves ◽  
Longitudinal Wave ◽  
Transverse Wave ◽  
Sound Propagation ◽  
Correspondence Principle ◽  
Classical Mechanics ◽  
Wave Model ◽  
Scientific Experiments

This paper presents sound propagation based on a transverse wave model which does not collide with the interpretation of physical events based on the longitudinal wave model, but responds to the correspondence principle and allows interpreting a significant number of scientific experiments that do not follow the longitudinal wave model. Among the problems that are solved are: the interpretation of the location of nodes and antinodes in a Kundt tube of classical mechanics, the traslation of phonons in the vacuum interparticle of quantum mechanics and gravitational waves in relativistic mechanics.

The Obligation to Choose

2018 ◽  
Author(s):  
Rachel Crossland
Keyword(s):  
Twentieth Century ◽  
Close Attention ◽  
The Past ◽  
Light Quanta ◽  
Early Twentieth Century ◽  
Wave Particle Duality ◽  
Night And Day ◽  
Scientific Ideas

Chapter 1 explores Woolf’s writings up to the end of 1925 in relation to scientific ideas on wave-particle duality, providing the ‘retrospect of Woolf’s earlier novels’ which Michael Whitworth has suggested shows that she was working ‘in anticipation of the physicists’. The chapter as a whole challenges this idea of anticipation, showing that Woolf was actually working in parallel with physicists, philosophers, and artists in the early twentieth century, all of whom were starting to question dualistic models and instead beginning to develop complementary ones. A retrospect on wave-particle duality is also provided, making reference to Max Planck’s work on quanta and Albert Einstein’s development of light quanta. This chapter pays close attention to Woolf’s writing of light and her use of conjunctions, suggesting that Woolf was increasingly looking to write ‘both/and’ rather than ‘either/or’. Among other texts, it considers Night and Day, Mrs Dalloway, and ‘Sketch of the Past’.

scholarly journals From the Universe to Subsystems: Why Quantum Mechanics Appears More Stochastic than Classical Mechanics

2016 ◽  
Vol 15 (03) ◽  
pp. 1640002 ◽  
Author(s):  
Andrea Oldofredi ◽  
Dustin Lazarovici ◽  
Dirk-André Deckert ◽  
Michael Esfeld
Keyword(s):  
Quantum Mechanics ◽  
Classical Mechanics ◽  
Bohmian Quantum Mechanics ◽  
The Universe

By means of the examples of classical and Bohmian quantum mechanics, we illustrate the well-known ideas of Boltzmann as to how one gets from laws defined for the universe as a whole the dynamical relations describing the evolution of subsystems. We explain how probabilities enter into this process, what quantum and classical probabilities have in common and where exactly their difference lies.

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