Special Issue "Symmetry in Geometrical Physics"

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics and Symmetry/Asymmetry".

Deadline for manuscript submissions: closed (31 December 2019).

Special Issue Editor

Prof. Dr. Rami Ahmad El-Nabulsi
E-Mail Website
Guest Editor
1. Athens Institute for Education and Research, Mathematics and Physics Divisions, 10671 Athens, Greece
2. Research Center for Quantum Technology, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
3. Department of Physics and Materials Science, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
Interests: geometrical dynamics; quantum mechanics; nonlinearity; fractal dynamics; geometrical physics; general relativity and gravitation; operators theory; quantum field theory; plasma MHD and planetary dynamics; chaos and bifurcations; reactor physics and nuclear sciences; solid state physics and magnetism; quantum electronics and nanostructures
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Special Issue Information

Dear Colleagues,

In recent years, rapid developments have taken place in nonlocal-in-time theories characterized by the occurrence of higher-order derivatives. Time non-locality arises in a large number of physical phenomena including classical mechanics, dissipative dynamics, the self-diffusion process, geometrical physics, discrete quantum mechanics, quantum field theory, and the theory of parabolic and hyperbolic differential equations, among others. Nevertheless, after a large number of theoretical studies, it was observed that higher-order derivatives hold a number of generic outcomes, and they constitute an indispensable mathematical tool nowadays in theoretical physics and sciences, e.g., in Abraham–Lorentz electrodynamics theory, which describes the equation of motion for charged particles taking into account radiative effects. There are quite a lot of methodologies that deal with higher-order derivative theories, e.g., the method of perturbative constraints, which is used to study dynamical systems characterized by equations of motion depending on more than one moment in time, in addition to the backward and forward shifting coordinates/positions in time and the nonlocal-in-time kinetic energy approach. These theoretical methodologies were used in quantum mechanics, in stochastic dynamics, and in fluid dynamics, etc. The main aim of this Special Issue is to enlarge the domain of applications of nonlocal-in-time approaches, mainly the nonlocal-in-time kinetic energy approach in different fields in particular classical and quantum mechanics, quantum hydrodynamics, kinetic theory, solid state physics, classical and quantum electrodynamics, and relativity theory, among others.

Prof. Rami Ahmad El-Nabulsi
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1800 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • nonlocal-in-time kinetic energy
  • quantum physics
  • quantum hydrodynamics
  • kinetic theory in statistical physics
  • solid-state physics
  • electrodynamics
  • nonlocal geometrodynamics
  • relativity theory (special and general)

Published Papers (1 paper)

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Research

Article
Oscillatory Properties of Solutions of Even-Order Differential Equations
Symmetry 2020, 12(2), 212; https://doi.org/10.3390/sym12020212 - 02 Feb 2020
Cited by 5 | Viewed by 653
Abstract
This work is concerned with the oscillatory behavior of solutions of even-order neutral differential equations. By using Riccati transformation and the integral averaging technique, we obtain a new oscillation criteria. This new theorem complements and improves some known results from the literature. An [...] Read more.
This work is concerned with the oscillatory behavior of solutions of even-order neutral differential equations. By using Riccati transformation and the integral averaging technique, we obtain a new oscillation criteria. This new theorem complements and improves some known results from the literature. An example is provided to illustrate the main results. Full article
(This article belongs to the Special Issue Symmetry in Geometrical Physics)
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