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
Solutions of Dirac equations on compact spin manifolds via saddle point reduction
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-016-0350-8
Abstract: In this note, we apply the saddle point reduction to a class of nonlinear Dirac equation with a potential on a compact spin manifold. Two results are obtained, including a multiple theorem. read more here.
Keywords: point reduction; saddle point; solutions dirac; point ... See more keywords
On the classes of explicit solutions of Dirac, dynamical Dirac and Dirac–Weyl systems with non-vanishing at infinity potentials, their properties and applications
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2020.11.037
Abstract: Abstract We construct explicitly potentials, Darboux matrix functions and corresponding solutions of Dirac, dynamical Dirac and Dirac–Weyl systems using generalised Backlund-Darboux transformation (GBDT) in the important case of nontrivial initial systems. In this way, we… read more here.
Keywords: dirac dynamical; solutions dirac; dynamical dirac; dirac weyl ... 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
Quantum backflow in solutions to the Dirac equation of the spin-1 2 free particle
Sign Up to like & getrecommendations! Published in 2018 at "Modern Physics Letters A"
DOI: 10.1142/s0217732318501869
Abstract: It was known that a free, non-relativistic particle in a superposition of positive momenta can, in certain cases, bear a negative probability current — hence termed quantum backflow. Here, it is shown that more variations… read more here.
Keywords: solutions dirac; quantum backflow; dirac equation; particle ... See more keywords
On the Radial Solutions of the Dirac Equation in the Kerr-Newman Black Hole Surrounded by a Cloud of Strings
Sign Up to like & getrecommendations! Published in 2023 at "Axioms"
DOI: 10.3390/axioms12020187
Abstract: In this paper, we obtain the metric of the space-time generated by a charged and rotating gravitational body surrounded by a loud of strings, namely, the Kerr–Newman black hole space-time with the addition of a… read more here.
Keywords: kerr newman; radial solutions; black hole; newman black ... See more keywords