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Journal of Quantum Physics and Materials Chemistry

Quantum Mechanics

Huan Liu

Published Nov 15, 2022• 8 citations
Publisher

Abstract

This article has discussed the theories explaining the formation of rays’ wave, collision motion of charged particles in particle collider, force analysis on micro-particles at the quantum level, and the generating mechanism of gravitational wave.
DOI
10.58473/jqpmc0001

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The X rays Diffraction Experiment covers: theory, interaction of photons with the matter, sources of x rays, x rays tube, radioactivity, x rays detector, x rays diffraction process, crystals, miller indices and Bravais lattices, Bragg reflection on crystal, symmetry elements, point group of symmetry, fourteen bravais lattices, crystalline systems bravais, 32 crystalline punctual groups, stereogram of the 32 crystalline punctual groups, brillouin zone and the cubic system lattice, real space (direct lattices) and the reciprocal space (reciprocal lattices), the Laue experiment of x rays diffraction on crystal, experimental set up, scintillators and photomultipliers.Besides, it is researched the Electron Diffraction and the Diffraction and Interference for the electron by using the Fourier Approach and Wave Properties, Diffraction: Heisenberg's Uncertainty Principle, Uncertainty Principle of Heisenberg by applying wave properties, Interference: Double Slit Experiment, The Copenhagen Interpretation, Pilot wave interpretation and why the electron doesn´t radiate energy as a particle.For other hand, Albert Einstein wrote in a research article: "Does the inertia of a body depend on its energy content?" (Ist die Trägheit eines Körpers von seimen Energienhalt abhängig?):"If a body emits energy E in the form of radiation, its mass decreases by E/c 2 ".The fact that the energy that leaves from the body is converted into radiation energy makes no difference, so the more general conclusion is reached that the mass of a body is a measure of the content of its energy...It is not impossible that with bodies whose content of energy is highly variable (for example radio salts) the theory can be successfully tested.If the theory corresponds to the fact, radiation conducts inertia between the bodies that emit and absorb it 1 ".This is true for any type of radiation emitted (gravitational or electromagnetic energy) which produces a decrease in the mass of the body.Respect to the gravitational energy emission, it is demonstrated by theory, experiment and result the discovery formula which describe exactly the variant mass of a particle which emits gravitational energy which was demonstrated by myself at the article: The Fundament of the Mass and Effects of the Gravitation on a Particle and Light in the mass, time, distance, velocity, frequency, wavelength: Variant Mass for a Particle which emits Gravitational Energy for a particle orbiting a large Planet or Sun and for a Binary Star and Variant Frequency for the Light passing close a Gravitational Field from a Massive Object (Sun).The results of the mass formula are of great relevance for Gravitational Interactions.It is in accordance with the classic result for the emission of the total gravitational energy (bond total energy) for a particle orbiting a large Planet or Sun and for a Binary Star.At the atom, the electron only radiates this energy when it jumps from one orbit to another orbit at the atom.It is in accordance with the experimental results from the spectral lines of the atom.The difference is that in a gravitational field the particle or a planet around the sun can take any position at the space and any radius.But, the electron at the atom only can take restricted positions which are explained by quantum mechanics, and the electrons don´t emit radiation when they orbit around the nucleus.At this article, it is demonstrated the development formula for the variant mass of the electron at the atom which describe exactly the variant mass of the electron (charged particle) at the atom which emits electromagnetic energy from one stationary level to other.The results of the formula are compared with the ionization energy emission for the electron at the atom and the bound energy for the diatomic molecules.The results are in agreement with high accuracy.Besides, Maxwell's theory shows that electromagnetic waves are radiated whenever charges accelerate as for example for the electrón.Then, this electromagnetic radiation (photons) produces a decrease in the mass of the electron which is given by the formula of the Variant Mass for an Accelerated Charged Particle which was demonstrated by me at this research.Therefore, an additional objective of this article is to demonstrate by theory, calculations and results the discovered formula which describe exactly the variant mass of an accelerated charged particle.This charged particle emits electromagnetic radiation which is called the Maxwell Radiation.Also, the article analyzes and establishes about the effects of the variant mass on the particle.In addition, the formula is tested with the electromagnetic radiation emitted for an electron when leaves from the atom.Finally, it is obtained the formula for the power energy emitted for an Accelerated Charged Particle.
This article is a continuation of Part(I) to demonstrate more aspects for a successful merge of classical mechanics to the quantum theory. The article starts first with the deduction of the general form of the complimentary energy, next a robust firm mathematical proof is given indicates that the complimentary energy has a wave nature and it is a potential energy, then the radiation condition has been determined, a vector formula expresses the corresponding force was deduced and this force was called adhesion force. A mathematical convergence process has proved the duality of the electromagnetic wave parameters and particle parameters, which results in the existence of a “wave-particle” object. While finding the relationship between the electromagnetic wave parameters and particle parameters, a mathematical relationship was found indicating that not every moving charged mass generates a magnetic field. This relationship for the mass was linked to the effective mass tensor, The geometric representation of the constant energy surface and its relationship to the energy levels of both the orbital model (Bohr model) and the cloud model for different geometric 3D shapes were investigated as a sample of the possible geometric interpretations of the energy equation, that is by employing the triangle method, it is possible to create a geometric representation of the constant energy surfaces. The relation between the energy levels, quantum numbers, and band width is represented geometrically. As a result of proving the relationship between the motion of an electromagnetic wave and the motion of a particle associated with the wave, two new, unprecedented mathematical formulas were developed. The first formula specifies a moving charged mass and its relationship to the resulting wavelength. Thus, the radius of the charged mass is obtained in terms of its wavelength and mass density. The second formula specifies the kinetic energy of a photon. The grand potentials are the potential energy of the Newton’s Law of Universal Gravitation, Coulomb’s Law, and Inverse Square Law of Electromagnetic Waves Intensity. From the potential energy of Newton’s law of universal gravitation, the wavelength of the gravitational wave, as well as the wavelength of quantum gravity were deduced. A mathematical relationship was then deduced that determines the lengths of the functions of conic sections, and in particular the length of perimeter of ellipses. From the potential energy of Coulomb’s law of attraction, a mathematical formulation of the energy levels in general for any atom of an element was obtained. This mathematical formulation was compared with the results obtained by Bohr and Schrödinger for the hydrogen atom. As for the inverse square law of electromagnetic radiation intensity, several innovative mathematical equations have been deduced that link different parameters together. Following the contents of this article requires to be quite familiar with the contents of the first part with the same title, as well as a complete understanding of the concepts of intermediate parameters derived and used in the various equations. Otherwise, it will be extremely difficult to follow the contents of this article.
Purpose This is a continuation of Parts I and II of the paper. In this part it is suggested that microscopic particles behave similarly to macroscopic objects: Features of two entangled particles, having the same “dimension” (kind of feature), may interchange and migrate from one particle to the other while their wave function collapses. In the particular case of electrically charged particles, like an electron and a proton, the migrating features that are interchanged between the particles, may be the electrical charges (that have the same “dimension”). This implies that each atom of matter has some very small probability to be an atom of antimatter, and it may be annihilated if it collides with an atom of matter. The purpose of this study is to suggest how this hypothesis may be tested empirically. Design/methodology/approach The cooler are the molecules of gases, the slower they are. Therefore, according to Heisenberg's principle of uncertainty, the probability that gaseous molecules will collide increases when the gas is cooled. Findings We may expect that when gases are cooled there is a higher than usual probability that gaseous molecules of matter and antimater will collide and will annihilate each other, emitting photons of gamma rays. Such findings has been reported by Molchadzki, but not explained. The same is true regarding other situations in which the probability of collisions of gaseous molecules is higher than the usual, like the colliding of gaseous molecule at the center of an imploding bubble of gas. Originality/value If a procedure that increases the number of collisions between gaseous molecules considerably will be developed, it may be that this procedure will be applicable for obtaining clean energy by annihilations of matter and antimatter.