Dirac equations
Convergence of very weak solutions to A Dirac equations in Clifford analysis
... elliptic equations maybe not obtained in the corresponding function space, then the concept of ‘very weak solution’ is produced in order to study the solutions to elliptic equations in a wider ...A-harmonic ...
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On Group Invariant Solutions to the Maxwell Dirac equations
... Maxwell Dirac equations for a relativistic electron spinor in its own self-consistent electromag- netic ...Maxwell Dirac equations are written in a gauge indepen- dent tensor form, in terms of ...
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The manifestly gauge invariant Maxwell Dirac equations
... static Dirac spinor field, finding that localised compact objects with a shell-like structure exist in this ...Maxwell-Dirac equations, but in the bilinear ...
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The non-relativistic limits of the Maxwell and Dirac equations: the role of Galilean and gauge invariance
... wave equations is generally confined to the formalities of the limiting process, and the sense in which the results may be deemed “non-relativistic” is not considered ...
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Spectrum of the quadratic eigenparameter dependent discrete Dirac equations
... difference equations have been treated by various authors in con- nection with the classical moment problem (see the monographs of Agarwal [], Agarwal- Wong [] and Kelley-Peterson [] and the papers of Agarwal et ...
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On The Inverse Problem of the Scattering Theory for a Class of Systems of Dirac Equations with Discontiunous Coefficient
... Abstract. In this paper it is devoted to study the inverse scattering problem for a singular boundary value problem of generalized form of system Dirac type. The new representation for the solutions of the ...
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Chiral Dirac Equation Derived From Quaternionic Maxwell’s Systems
... the Dirac operator and the Maxwell operators under chiral ...the Dirac particle is fulfilled if the electric field E is parallel to the magnetic field ...the Dirac equation and on the quaternionic ...
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The relation between Maxwell, Dirac, and the Seiberg Witten equations
... In what follows, we analyze these claims of [14] and prove that they are wrong (Section 3). The reasons for our enterprise is that, as will become clear in what follows, understanding (1.1) and (1.2) together with some ...
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APPLICATION OF THE GENERALIZED CLIFFORD-DIRAC ALGEBRA TO THE PROOF OF THE DIRAC EQUATION FERMI-BOSE DUALITY
... the Dirac equation (both in the Foldy-Wouthuysen and the Pauli-Dirac representations), which proof was started in [2]- [5], where the bosonic symmetries of this equation were found, is demonstrated here on ...
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Optical leptons
... Nonlinear Dirac equations (NDEs). The equations are represented in a spinor ...linear Dirac equation with potential depending only on “r ” ...linear Dirac equations with ...
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Fermions Confinement to a 4-Dimensional Universe is the Source for Dark Matter
... Maxwell equations will describe opposite spins, only if we assume opposite ...currrents. Dirac equations contains opposite spins as a result of mirror ...
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A Harmonic Equations and the Dirac Operator
... This component is the scalar real part of the Dirac system, under appropriate identifications. Hence any real-valued solution to the Dirac system is an A-harmonic function. As such, the class of A-harmonic ...
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DIRAC experiment at CERN
... Fig. 1. DIRAC setup: MDC are microdrift gas chambers, SFD is a scintillating fiber detector and IH is a scintil- lation ionization hodoscope. Downstream the spectrometer magnet there are drift chambers (DC), ...
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On Spectral Invariants of Dirac Operators on Noncommutative Tori and Curvature of the Determinant Line Bundle for the Noncommutative Two Torus
... anymore. Here, the spectral geometry offers a solution, namely, to look at the Rieman- nian metric through the window of spectral invariants of elliptic (pseudo)differential operators on Riemannian manifolds. Therefore ...
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On the Origin of Charge Asymmetric Matter II Localized Dirac Waveforms
... physical Dirac field of a real matter becomes a finite-sized particle, and it is approached here as a practical ...the Dirac field followed from an observation [1] that the local time flows slower at higher ...
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Born infeld electrodynamics: Clifford number and spinor representations
... of equations may be written in highly compact form for this ...massless Dirac equation form, that may help to find more profound connections between electrodynamics and quantum ...
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Bohmian Quantum Mechanics Revisited
... is attributed to the particle spin. The spin force is a dissipative force. The quantum potential may be attributed to the interaction between the two subfields S and R comprising the quantum particle. This results in ...
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Constituent quark models for hadronic systems
... The Dirac and Schrödinger equations are able to describe the behavior of quarks inside the hadrons in the relativistic and non-relativistic ...the Dirac and Schrödinger equations of the ...
5
AIMS-pp-05.pdf
... Two independent positive energy solutions to the Dirac equation!.. The Dirac equation should have 4 independent solutions[r] ...
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Addressing Scalability with Message Queues: Architecture and Use Cases for DIRAC Interware
... redundancy. DIRAC is a general-purpose interware software for distributed computing sys- tems, which offers a common interface to a number of heterogeneous providers and guarantees transparent and reliable usage ...
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