The Dirac Equation
The Hypercomplex Solution of the Dirac Equation
... and later this subject was developed in several hundreds of works. There is another method to use the Dirac equation for the derivation of new equations. According to this method the ψ-function is ...
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Bound states of the Dirac equation on Kerr spacetime
... There is a subtlety in the above picture. Localized states are (generically) asymmetric under time-reversal, due to non-Hermiticity in the Dirac equation on black hole spacetimes. Flux is absorbed through ...
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Understanding the Dirac Equation and the Electron-Vacuum System
... the Dirac Equation and the Electron-Vacuum System William ...the Dirac equation first appeared, but it has yet to be understood on an intuitive, fundamental ...the equation is expressed ...
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Accurate solution of the Dirac equation on Lagrange meshes
... Livio Filippin † and Michel Godefroid ‡ Chimie Quantique et Photophysique, C. P. 160/09, Universit´e Libre de Bruxelles (ULB), B-1050 Brussels, Belgium (Received 12 February 2014; published 10 April 2014) The ...
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APPLICATION OF THE GENERALIZED CLIFFORD-DIRAC ALGEBRA TO THE PROOF OF THE DIRAC EQUATION FERMI-BOSE DUALITY
... the Dirac equation is invariant, were ...massless Dirac equation ([27]-[33] and references ...of Dirac equation with m = 0 was ...
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Solutions of the Dirac Equation with Gravitational plus Exponential Potential
... ABSTRACT The solutions of the Alhaidari formalism of the Dirac equation for the gravitational plus exponential potential have been presented using the parametric Nikiforov-Uvarov method. The energy ...
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On a Special Class of Solutions of the Dirac Equation for Massive Particles With Electric
... the Dirac equation considering electric potentials depending upon one spacial variable, based upon the Taylor series in formal powers, in order to examine the probability functions that describe the ...
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The Foldy Wouthuysen Transformation of the Dirac Equation in Noncommutative Phase Space
... Schrödinger-Pauli equation in noncommutative phase-space, which is the nonrelativistic limit of the Dirac equation in a simple way using the Foldy-Wouthuysen transformation, this one achieved by a ...
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Link between the Relativistic Canonical Quantum Mechanics and the Dirac Equation
... Foldy equation into the Dirac equation, is written down (section ...the Dirac equation derivation is ...the Dirac equation (and its content) would follow di- rectly and ...
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Symmetry of boundary conditions of the Dirac equation for electrons in carbon nanotubes
... the Dirac equation may be writ- ten as Ψ = M Ψ where M is an Hermitian, unitary 4 × 4 matrix M 2 = 1 with the additional constraint that it an- ticommutes with the component of the current operator normal ...
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THE DIRAC EQUATION AS THE CONSEQUENCE OF THE QUANTUM-MECHANICAL SPIN 1/2 DOUBLET MODEL
... the equation and the algebra of observables of RCQM into the equation and the algebra of observables of the Foldy-Wouthuysen (FW) representation for the spinor ...the Dirac equation in its ...
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The analogy of equation of rotation in complex plane with the Dirac equation, and its foundation
... In present work, we try to use the classical concepts mentioned above to formulate a model analogous to the relativistic quantum mechanics. Thus this approach does not base on the quantum postulates (wave function, and ...
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The hydrogen atom and the Dirac equation Part I: Massaging the Schrodinger equation for an electron
... Again, what follows should be regarded as motivation. I’m not sure it’s historically correct but even if it is, there’s a lot of context missing. Since we are going to extend the Schrodinger equation to deal with ...
On Negative-Energy 4-Spinors and Masses in the Dirac Equation
... algebraic equation Det(ˆ p − m) = 0 and Det(ˆ p + m) = 0 for u− and v− 4-spinors have solutions with p 0 = ±E p = ± p p 2 + m 2 ...the Dirac-Feynman-Stueckelberg procedure for elimination of negative-energy ...
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A Real Version of the Dirac Equation and Its Coupling to the Electromagnetic Field
... real Dirac equation at the outset seems to make sense only as an equation for a quantum but not classical spinor ...real Dirac equation as here derived has essentially the same physical ...
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General Spin Dirac Equation
... bare Dirac Equation? Prevailing wisdom suggests that anomalous gyromagnetic ratio arise because the particles under question are not fundamental ...the Dirac Equation that is applicable to ...
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General Spin Dirac Equation (II)
... Schrödinger equation describes spin-0 atoms and molecules [6], the Klein-Gordon equation describes spin- 0 particles (that is carriers of forces), while the Dirac equation describes spin- 1 2 ...
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Quasi-exact Solvability of. Dirac-Pauli Equation. and generalized Dirac oscillators
... For Dirac equations, it had been shown that Dirac equation with Coulomb interaction supplemented by a linear radial potential [10], and planar Dirac equation with Coulomb and ...
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Mass Spectrum of Dirac Equation with Local Parabolic Potential
... the Dirac equation with local parabolic potential which is approximately equal to the short distance poten- tial generated by spinor ...of Dirac equation with complicated ...
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Asymptotic Solutions of a Discrete Schrödinger Equation Arising from a Dirac Equation with Random Mass
... the Dirac equation (1) is a one-dimensional equation which can be rep- resented as a zero-dimensional quantum problem, using the concept of second ...
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