A Unitary Approach to Relativistic Dynamics and Quantum Particle Interactions | Chapter 7 | Current Research Progress in Physical Science Vol. 4

In this paper, a Unitary Quantum Relativistic Theory was developed. The wavy nature of a quantum particle involves the relativistic dynamics of the wave packet of this particle, and a field of interaction described by Lorentz’s force and three of the four Maxwell equations: the electromagnetic induction law, and the flow laws of the electric and magnetic fields. These equations arise from the group velocity, which is of the form of the Lagrange equation, and from a relativistic principle for wave functions, which asserts that in any system of reference, a wave function has a bounded spectrum with a velocity limit c. When a magnetic circuit law is considered for a field interacting with a quantum particle, this is an electromagnetic field, propagating with the velocity c. This means that the limit velocity c of a quantum particle according to the theory of relativity is also obtained as a necessary condition of quantum dynamics. The relativistic particle wavefunctions considered in this framework, describing finite distributions of densities in the two conjugated spaces of the coordinates and momentum, provide a better description of a collisional phenomenon, in a finite volume occupied by these particles and the photon mediating this collision according to Quantum Electrodynamics.

 

Author (s) Details

 

Eliade Stefanescu
Advanced Studies in Physics Centre of the Romanian Academy, Bucharest, Romania and Academy of Romanian Scientists, Bucharest, Romania.

 

Please see the book here:- https://doi.org/10.9734/bpi/crpps/v4/2904

Dynamics of Matter in a Unitary Relativistic Quantum Framework | Chapter 8 | Current Research Progress in Physical Science Vol. 7

The matter dynamics as a positively defined density P (xⁱ,t)= M|y (xⁱ,t )|² was described and showed that, according to the general theory of relativity, such a distribution can be conceived only as a fragment of matter with a finite mass M equal to a mass  M₀ , as a characteristic of the matter dynamics, M= M₀  – the matter quantization. The group velocities of the Fourier conjugate representations in the coordinate and momentum spaces describe the dynamics of a quantum particle in agreement with the Hamiltonian equations, unlike the Schrodinger representation which is in disagreement with these equations. Under the action of an external (nongravitational) field, the acceleration of the quantum matter has two components: 1) A component perpendicular to the velocity, given by the relativistic mechanical component of the time-dependent phase, and 2) A component given by the additional field terms of this phase. A free quantum particle is described by a non-dispersing wave function  y(xⁱ,t), contrary to the solution of the Schrödinger equation. A coherent electromagnetic field, in resonance with a system of active quantum particles in a Fabry-Perot cavity, has a wave vector approximately proportional to the metric elements, as the resonance frequency is approximately constant – a gravitational wave can be detected by the transmission characteristics of an active Fabry-Perot cavity. In a constant gravitational field, a quantum particle undertakes a velocity and an acceleration, which, at the boundary of a black hole are null – absorption and evaporation processes at the boundary of a black hole arise only by gravitational perturbations. Important perturbations, significantly deforming the gravitational spherical symmetry of a black hole, are produced by strong nuclear and electromagnetic forces leading to the big matter concentrations of the celestial bodies. Generally, a quantum particle is described by a time-space volume, called a graviton, with a spin of 2, and a distribution of a specific matter in this volume, with a half-integer spin for Fermions and an integer spin for Bosons. A graviton Lagrangian is obtained as a curvature integral on a graviton volume, and a Hamiltonian tensor is obtained for the gravitational coordinates and velocities.

 

Author (s) Details

 

Eliade Stefanescu
Advanced Studies in Physics Centre of the Romanian Academy, Academy of Romanian Scientists, Bucharest, Romania.

 

Please see the book here:- https://doi.org/10.9734/bpi/crpps/v7/4094

Information’s Relativistic Convey with Matter Wave’s Non-dispersive Propagation

 The Wave-Particle Duality is a fundamental property of tiny particles. As a basic idea of quantum mechanics, the wave-atom duality hypothesis from elementary particles to great molecules had happened verified by lots of experiments. Different from electromagnetic wave, the matter wave’s diffusion is not only fast but also alterable. According to the special relevance theory, the group velocity accompanying which the overall wrapper shape of the wave, namely the connected particle’s propagation and facts convey speed is erratic with its strength and related awareness, among that only the energy exceeds over the minimum advantage, the propagation maybe starting and the speed is not allowed to surpass the maximum profit i.e. the light speed in emptiness. Take electron as an example, if the free energized matter beam gains energy above around 8.187×10ˉᴵ⁴J and the connected wavelength is shorter than about 5.316×10ˉ³nm, the matter wave with facts can start to propagate.

Author(s) Details:

Wang Xinye,
The Quintet, Singapore. 

Please see the link here: https://stm.bookpi.org/NFPSR-V3/article/view/8595

Study on Theoretical Design Te-Polarization OneDimensional Photonic Crystal | Chapter 10 | Newest Updates in Physical Science Research Vol. 10

 Due to the energy equivalence principle, we show that mass is connected with spacetime curvature, which leads to the development of volume and mass shells in every case. The relationships between a point surface tension and a spacetime curvature are presented. The conclusion is that spacetime is inherently fluid. Finally, we come across the chi psi omega law and the action, both of which are crucial in quantum mechanics. From there, we may calculate the particle's true acceleration.

Author(s) Details

Dr. Elham Jasim Mohammad
Department of Physics, Collage of Science, Mustansiriyah University, Baghdad, Iraq.

View Book :- https://stm.bookpi.org/NUPSR-V10/article/view/2383