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
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
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
Length-scale competition in the parametrically driven nonlinear Dirac equation with a spatially periodic force
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ab2469
Abstract: Soliton dynamics in the damped and parametrically driven nonlinear Dirac equation, in 1 + 1 dimension with scalar–scalar self-interaction is analysed. The considered parametric force has the spatial period . A variational approach using collective… read more here.
Keywords: nonlinear dirac; dirac equation; soliton; force ... See more keywords
Bounds on the dynamics of periodic quantum walks and emergence of the gapless and gapped Dirac equation
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review A"
DOI: 10.1103/physreva.97.012116
Abstract: We study the dynamics of discrete-time quantum walk using quantum coin operations, $\hat{C}(\theta_1)$ and $\hat{C}(\theta_2)$ in time-dependent periodic sequence. For the two-period quantum walk with the parameters $\theta_1$ and $\theta_2$ in the coin operations we… read more here.
Keywords: theta theta; quantum walks; theta; period quantum ... See more keywords
Topology and the optical Dirac equation
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DOI: 10.1103/physreva.98.043837
Abstract: Through understanding Maxwell's equations as an effective Dirac equation (the `optical Dirac equation'), we re-examine the relationship between electromagnetic interface states and topology. We illustrate a simple case where electromagnetic material parameters play the roles… read more here.
Keywords: topology; optical dirac; topology optical; dirac equation ... See more keywords