Results 41 to 50 of about 1,518 (237)
Global surpluses of spin-base invariant fermions
Physics Letters B, 2015 The spin-base invariant formalism of Dirac fermions in curved space maintains the essential symmetries of general covariance as well as similarity transformations of the Clifford algebra.
Holger Gies, Stefan Lippoldt
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International Journal of Differential Equations, 2023 This manuscript aims to highlight the existence and uniqueness results for the following Schrödinger problem in the extended Colombeau algebra of generalized functions. 1/ı∂/∂tut,x−△ut,x+vxut,x=0,t∈R+,x∈Rn,vx=δx,u0,x=δx, where δ is the Dirac distribution.
Ali El Mfadel +3 more
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International Journal for Numerical Methods in Fluids, EarlyView.We introduce an efficient open‐source numerical framework for the automated search for the placements of injection and production wells in hot fracture‐controlled reservoirs that sustainably optimize geothermal energy production. We model the reservoirs as discrete fracture networks in 3D. The fluid flow and heat transport in the reservoirs are modeled
Ondřej Pártl, Ernesto Meneses Rioseco
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κ-Deformation of an extended Dirac oscillator
Results in Physics, 2019 We study a deformation, based on the κ-Poincaré-Hopf algebra, of an extended version of the Dirac oscillator, where the latter is coupled to a pseudoscalar Coulomb potential.
Yassine Chargui
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Solvability of invariant systems of differential equations on H2$\mathbb {H}^2$ and beyond
Mathematische Nachrichten, EarlyView.Abstract We show how the Fourier transform for distributional sections of vector bundles over symmetric spaces of non‐compact type G/K$G/K$ can be used for questions of solvability of systems of invariant differential equations in analogy to Hörmander's proof of the Ehrenpreis–Malgrange theorem.
Martin Olbrich, Guendalina Palmirotta
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Comment on `Dirac theory in spacetime algebra' [PDF]
Journal of Physics A: Mathematical and General, 2002 In contrast to formulations of the Dirac theory by Hestenes and by the current author, the formulation recently presented by W. P. Joyce [J. Phys. A: Math. Gen. 34 (2001) 1991--2005] is equivalent to the usual Dirac equation only in the case of vanishing mass. For nonzero mass, solutions to Joyce's equation can be solutions either of the Dirac equation
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Mathematical Methods in the Applied Sciences, EarlyView.We develop a full randomization of the classical hyper‐logistic growth model by obtaining closed‐form expressions for relevant quantities of interest, such as the first probability density function of its solution, the time until a given fixed population is reached, and the population at the inflection point.
Juan Carlos Cortés +2 more
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AIMS MathematicsFirst, some important properties of functions valued in the parameter dependent Clifford algebra $ \mathcal{B}_{n}(2, \alpha_{j}, \gamma_{ij}) $ were studied.
Xiaojing Du +2 more
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
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Riemann Boundary Value Problem for Triharmonic Equation in Higher Space
The Scientific World Journal, 2014 We mainly deal with the boundary value problem for triharmonic function with value in a universal Clifford algebra: Δ3[u](x)=0, x∈Rn∖∂Ω, u+(x)=u-(x)G(x)+g(x), x∈∂Ω, (Dju)+(x)=(Dju)-(x)Aj+fj(x), x∈∂Ω, u(∞)=0, where (j=1,…,5) ∂Ω is a Lyapunov surface in ...
Longfei Gu
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