Hypermonogenic Plane Wave Solutions of the Dirac Equation in Superspace
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Applied Clifford Algebras"
DOI: 10.1007/s00006-019-0981-0
Abstract: In this paper, we obtain Cauchy-Kovalevskaya theorems for hypermonogenic superfunctions depending only on purely bosonic and fermionic vector variables. In addition, we use these results to construct plane wave examples of such functions. read more here.
Keywords: plane; plane wave; hypermonogenic plane; dirac equation ... See more keywords
Approximate Treatment of the Dirac Equation with Hyperbolic Potential Function
Sign Up to like & getrecommendations! Published in 2018 at "Few-Body Systems"
DOI: 10.1007/s00601-018-1329-3
Abstract: The time independent Dirac equation is solved analytically for equal scalar and vector hyperbolic potential function in the presence of Greene and Aldrich approximation scheme. The bound state energy equation and spinor wave functions expressed… read more here.
Keywords: approximate treatment; potential function; dirac equation; hyperbolic potential ... See more keywords
Generalized Dirac Equation for a particle in a gravitational field
Sign Up to like & getrecommendations! Published in 2021 at "General Relativity and Gravitation"
DOI: 10.1007/s10714-021-02834-y
Abstract: The existence of a minimal observable length modifies the Heisenberg’s uncertainty principle at Plank scales and leads to some modifications of the Dirac equation. Here, we consider the generalized uncertainty principle (GUP) theory in order… read more here.
Keywords: dirac equation; generalized dirac; gravitational field; equation ... See more keywords
Integration of the Dirac Equation on Lie Groups in an External Electromagnetic Field Admitting a Noncommutative Symmetry Algebra
Sign Up to like & getrecommendations! Published in 2017 at "Russian Physics Journal"
DOI: 10.1007/s11182-017-1013-y
Abstract: Noncommutative integration of the Dirac equation on Lie groups with a right-invariant metric and an invariant electromagnetic field tensor is considered. An electromagnetic field, admitting a noncommutative reduction of the Dirac equation, but not admitting… read more here.
Keywords: electromagnetic field; integration dirac; equation lie; dirac equation ... See more keywords
Optimal constants of smoothing estimates for the 3D Dirac equation
Sign Up to like & getrecommendations! Published in 2024 at "Analysis and Mathematical Physics"
DOI: 10.1007/s13324-025-01083-5
Abstract: Recently,Ikoma [8] considered optimal constants and extremisers for the 2-dimensional Dirac equation using the spherical harmonics decomposition. Though its argument is valid in any dimensions d≥2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$d… read more here.
Keywords: equation; dirac equation; optimal constants; harmonics ... See more keywords
Solution of Dirac equation and greybody radiation around a regular Bardeen black hole surrounded by quintessence
Sign Up to like & getrecommendations! Published in 2019 at "Annals of Physics"
DOI: 10.1016/j.aop.2019.168026
Abstract: Abstract The exact solutions of the Dirac equation that describe a massive, non-charged particle with spin − 1 2 in the curved spacetime geometry of regular Bardeen black hole surrounded by quintessence (BBHSQ) are investigated.… read more here.
Keywords: bardeen black; black hole; quintessence; regular bardeen ... See more keywords
B-Spline Solution of the Two-Center Dirac Equation in the Electronic Continuum for Relativistic Molecular Photoionization.
Sign Up to like & getrecommendations! Published in 2024 at "Journal of chemical theory and computation"
DOI: 10.1021/acs.jctc.4c01232
Abstract: In this work, the two-center Dirac equation is solved numerically using an extension of an adapted B-spline basis set method previously implemented in relativistic atomic calculations (Fischer, C. F.; Zatsarinny, O. Comput. Phys. Commun. 2009,… read more here.
Keywords: phys; center dirac; molecular photoionization; dirac equation ... See more keywords
Dirac equation from stereographic projection of the momentum sphere
Sign Up to like & getrecommendations! Published in 2023 at "European Journal of Physics"
DOI: 10.1088/1361-6404/acdb0e
Abstract: The Dirac equation is commonly demonstrated under stringent hypotheses and after considerable math work made in relativistic quantum mechanics and quantum field theory. Here, a purely geometric approach free from hypotheses is suggested. The suggestion… read more here.
Keywords: equation; stereographic projection; dirac equation; mechanics ... See more keywords
Degenerate solutions to the Dirac equation for massive particles and their applications in quantum tunneling
Sign Up to like & getrecommendations! Published in 2020 at "Physica Scripta"
DOI: 10.1088/1402-4896/abf304
Abstract: In a recent work we have proven the existence of degenerate solutions to the Dirac equation, corresponding to an infinite number of different electromagnetic fields, providing also some examples regarding massless particles. In the present… read more here.
Keywords: electromagnetic fields; solutions dirac; dirac equation; degenerate solutions ... See more keywords
The Dirac equation withPT /non-PT-symmetric potentials in curved spacetime backgrounds
Sign Up to like & getrecommendations! Published in 2023 at "Physica Scripta"
DOI: 10.1088/1402-4896/acdb05
Abstract: In this paper, we have presented the Dirac equation in the frame of position-dependent mass on two dimensional gravitational background in the presence of PT /non-PT -symmetric potential interactions. We have obtained the eigenvalues of… read more here.
Keywords: equation withpt; non symmetric; dirac equation; withpt non ... See more keywords
Proper time method: generation of analytic solutions of the Dirac equation with classical features
Sign Up to like & getrecommendations! Published in 2025 at "Physica Scripta"
DOI: 10.1088/1402-4896/adbbe4
Abstract: We introduce a new method to derive solutions of the Dirac equation in external static fields that have a direct connection to classical physics. Using it, we derive new analytic solutions of the Dirac equation… read more here.
Keywords: solutions dirac; dirac equation; proper time; time method ... See more keywords