Results 61 to 70 of about 3,197,005 (354)
We investigate the strong cosmic censorship for the Dirac field in the higher dimensional Reissner-Norstrom-de Sitter black hole. To achieve this, we first use the con- formal transformation trick to massage the Dirac equation to a pair of coupled ...
Xiaoyi Liu +3 more
doaj +1 more source
A ONE-COMPONENT DIRAC EQUATION [PDF]
We develop a relativistic free wave equation on the complexified quaternions, linear in the derivatives. Even if the wave functions are only one-component, we show that four independent solutions, corresponding to those of the Dirac equation, exist. A partial set of translations between complex and complexified quaternionic quantum mechanics may be ...
openaire +3 more sources
Derivation of the Dirac Equation from Principles of Information Processing [PDF]
Without using the relativity principle, we show how the Dirac equation in three space dimensions emerges from the large-scale dynamics of the minimal nontrivial quantum cellular automaton satisfying unitarity, locality, homogeneity, and discrete isotropy.
G. D’Ariano, P. Perinotti
semanticscholar +1 more source
Electrically Tunable On‐Chip Topological Photonics with Integrated Carbon Nanotubes
This work demonstrates electrically tunable on‐chip topological THz devices by integrating 2D carbon nanotube (CNT) sheets with valley‐Hall photonic crystals, enabling broadband transmission modulation (71% modulation depth) and tunable narrowband filtering (0.54 GHz shift) through electrically induced thermal tuning. This advancement paves the way for
Jifan Yin +7 more
wiley +1 more source
OCTONIONIC VERSION OF DIRAC EQUATIONS [PDF]
It is shown that a simple continuity condition in the algebra of split octonions suffices to formulate a system of differential equations that are equivalent to the standard Dirac equations. In our approach the particle mass and electromagnetic potentials are part of an octonionic gradient function together with the space–time derivatives. As distinct
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The Dirac equation as a quantum walk: higher dimensions, observational convergence [PDF]
The Dirac equation can be modelled as a quantum walk (QW), whose main features are being: discrete in time and space (i.e. a unitary evolution of the wave-function of a particle on a lattice); homogeneous (i.e. translation-invariant and time-independent)
P. Arrighi, M. Forets, V. Nesme
semanticscholar +1 more source
Gd‐doped BFO (BGFO) exhibits a ∼2‐order reduction in leakage current owing to its lowest content of oxygen vacancies. This leads to a ∼2.5‐fold increase in remnant polarization. These improvements in BGFO effectively boost charge separation and transportation, resulting in the greatest incident photon‐to‐current efficiency of 12.9 ± 0.73% and a ∼1.5 ...
Ming‐Wei Chu +7 more
wiley +1 more source
Relativistic scattering of fermions in quaternionic quantum mechanics
In this article, we propose a quaternionic version of the Dirac equation in the presence of scalar and vector potentials. It has been shown that in complex limit of such an equation, the complex version of this equation can be covered.
Hassan Hassanabadi +2 more
doaj +1 more source
Quantifying Spin Defect Density in hBN via Raman and Photoluminescence Analysis
An all‐optical method is presented for quantifying the density of boron vacancy spin defects in hexagonal boron nitride (hBN). By correlating Raman and photoluminescence signals with irradiation fluence, defect‐induced Raman modes are identified and established an relationship linking optical signatures to absolute defect densities. This enables direct
Atanu Patra +8 more
wiley +1 more source
The stationary Maxwell–Dirac equations [PDF]
The Maxwell-Dirac equations are the equations for electronic matter, the "classical" theory underlying QED. In this article we examine the stationary Maxwell-Dirac equations under weak regularity and decay assumptions. We prove that: There are no embedded eigenvalues in the essential spectrum, $-m\leq E\leq m$.
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