Dirac Equations and Quantum Mechanics – in Memory of Paul Adrien Maurice Dirac’s 120th Birthday

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

Deadline for manuscript submissions: 30 June 2024 | Viewed by 895

Special Issue Editor


E-Mail Website
Guest Editor
Departamento de Física, Universidade Federal do Maranhão, São Luis 65085-580, Brazil
Interests: quantum mechanics; topological defects; relativistic quantum mechanics
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Relativistic quantum mechanics has been a gigantic breakthrough for physics since its inception more than a century ago. This theory constitutes a natural framework for studying the properties of physical systems in various branches of physics. The applications of these theories have led to great realizations, such as the use of the Dirac equation to build effective models to describe topological insulators, topological superconductors, pseudospin and spin symmetries, topological defects in gravitational theories and condensed matter, pseudoanalytic function theory, models with Lorentz symmetry violation, etc. 

This Special Issue of Symmetry - Dirac Equations and Quantum Mechanics - “In Memory of Paul Adrien Maurice Dirac's 120th Birthday” is devoted to recent advances in theoretical developments in Relativistic Quantum Mechanics and applications in all areas of physics. It is part of the global effort to provide a continuous supply of information to the research community. Original contributions, under various forms and presentations, are welcomed, especially when covering the following topics:

  • Symmetry spin
  • Symmetry pseudo spin
  • Supersymmetry
  • Gauge symmetry
  • Pseudoanalytic function theory
  • Dynamical symmetry group
  • Phase space formulation
  • Maximal symmetry
  • Measurement theory
  • Symmetry group invariance
  • Deformation quantization
  • Lorentz symmetry violation
  • Topological defects
  • κ-deformed Poincaré algebra
  • Curved Spacetime 

Prof. Dr. Edilberto Oliveira Silva
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 submissions that pass pre-check are 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 2400 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.

Published Papers (1 paper)

Order results
Result details
Select all
Export citation of selected articles as:

Research

13 pages, 318 KiB  
Article
Dirac Hydrodynamics in 19 Forms
by Luca Fabbri
Symmetry 2023, 15(9), 1685; https://doi.org/10.3390/sym15091685 - 01 Sep 2023
Cited by 1 | Viewed by 554
Abstract
We consider the relativistic spinor field theory re-formulated in polar variables to allow for the interpretation given in terms of fluid variables. After that, the dynamics of spinor fields are converted as dynamics of a special type of spin fluid. We demonstrate that [...] Read more.
We consider the relativistic spinor field theory re-formulated in polar variables to allow for the interpretation given in terms of fluid variables. After that, the dynamics of spinor fields are converted as dynamics of a special type of spin fluid. We demonstrate that such conversion into dynamical spin fluid is not unique, but it can be obtained through 19 different rearrangements, by explicitly showing the 19 minimal systems of hydrodynamic equations that are equivalent to the Dirac equations. Full article
Back to TopTop