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The Hypercomplex Solution of the Dirac Equation

The Hypercomplex Solution of the Dirac Equation

... the hypercomplex Dirac equation describes the system of connected fields: 4-scalar, 4-pseudoscalar, 4-vector, 4-pseudovector and antisymmetric 4-tensor second rank ... See full document

9

Periodic Solutions of the Dirac-Lorentz Equation

Periodic Solutions of the Dirac-Lorentz Equation

... the Dirac physical assumptions. We have showed also that the fourth Dirac equation is a consequence of the first three ones, that implies the Dirac system is not overdetermined – three ... See full document

17

Exact Solution of Dirac Equation with Charged Harmonic Oscillator in Electric Field: Bound States

Exact Solution of Dirac Equation with Charged Harmonic Oscillator in Electric Field: Bound States

... the Dirac equation in 3 + 1 dimensions. The Dirac equation with scalar and vector HO potentials along with the tensor potential as a sum of linear and Coulomb-like potentials has been stud- ... See full document

10

Energy Levels of Spin 1/2 Particles with Yukawa Interaction

Energy Levels of Spin 1/2 Particles with Yukawa Interaction

... In this article, Yukawa interaction is used to study the relativistic spin-1/2 particles and obtain their energy levels. The role of Yukawa potential on the spin and pseudospin symmetry solution is investigated ... See full document

9

Quasiclassical Approximation in the Non-Relativistic and Relativistic Problems of Tunneling Ionization of a Hydrogen-Like Atom in a Uniform Electric Field

Quasiclassical Approximation in the Non-Relativistic and Relativistic Problems of Tunneling Ionization of a Hydrogen-Like Atom in a Uniform Electric Field

... quasiclassical solution of the one- dimensional equation obtained after the separation of variables in the Schrödinger equa- tion in parabolic coordinates is ...the Dirac equation with an ... See full document

6

SOLUTION OF DIRAC EQUATION FOR AN ELECTRON MOVING IN A HOMOGENEOUS MAGNETIC FIELD: EFFECT OF MAGNETIC FLUX QUANTIZATION

SOLUTION OF DIRAC EQUATION FOR AN ELECTRON MOVING IN A HOMOGENEOUS MAGNETIC FIELD: EFFECT OF MAGNETIC FLUX QUANTIZATION

... An interesting recent approach to investigation of properties of spinning particles is based on the use of Kerr twistorial structures (see Ref. [5] and references therein). In particular, combination of Kerr approach ... See full document

12

Solution of Dirac Equation with the Time Dependent Linear Potential in Non Commutative Phase Space

Solution of Dirac Equation with the Time Dependent Linear Potential in Non Commutative Phase Space

... So the present task is to solve Equation (5). There are also several methods to study time-dependent Dirac equa- tion [22,23] in commutative space. In this paper, we used the so-called Lewis-Riesenfield ... See full document

5

Creation of Bielectron of Dirac Cone: The Tachyon Solution in Magnetic Field

Creation of Bielectron of Dirac Cone: The Tachyon Solution in Magnetic Field

... Schrödinger equation for pair of two massless Dirac particles when magnetic field is applied in Landau gauge is solved ...chiral Dirac equation in cylindric coordinate is ...tachyon ... See full document

7

Jost Solution and the Spectrum of the Discrete Dirac Systems

Jost Solution and the Spectrum of the Discrete Dirac Systems

... Jost solutions of quadratic pencil of Schr ¨odinger, Klein-Gordon, and q-Sturm-Liouville equations have been obtained in 7–9. In 10–17, using the analytical properties of Jost functions, the spectral analysis of ... See full document

11

Solutions of the Dirac Equation with Gravitational plus Exponential Potential

Solutions of the Dirac Equation with Gravitational plus Exponential Potential

... the Dirac equation are only possible for some potentials of physical interest ...the Dirac equation for a number of special potentials using different methods ...(KG) equation or the ... See full document

6

Mass Spectrum of Dirac Equation with Local Parabolic Potential

Mass Spectrum of Dirac Equation with Local Parabolic Potential

...    (2.5) where the index “T” stands for transpose, m z ∈ { 0, 1, 2, ± ±  } , and u v k k , k ( = 1,2 ) are real functions of r and θ . However, the exact solution of (2.5) does not exist, and we have to solve ... See full document

14

Tachyonic Dirac Equation Revisited

Tachyonic Dirac Equation Revisited

... a Dirac-type equation consistent with the tachyonic energy-momentum ...tachyonic Dirac-type equation we mean a covariant equation that describes, in the quantum mechanics framework, the ... See full document

13

APPLICATION OF THE GENERALIZED CLIFFORD-DIRAC ALGEBRA TO THE PROOF OF THE DIRAC EQUATION FERMI-BOSE DUALITY

APPLICATION OF THE GENERALIZED CLIFFORD-DIRAC ALGEBRA TO THE PROOF OF THE DIRAC EQUATION FERMI-BOSE DUALITY

... the Dirac equation and the generalized real Clifford-Dirac (CD) algebra are under ...the Dirac equation means that this equation in addition to the well-known fermionic properties ... See full document

16

THE DIRAC EQUATION AS THE CONSEQUENCE OF THE QUANTUM-MECHANICAL SPIN 1/2 DOUBLET MODEL

THE DIRAC EQUATION AS THE CONSEQUENCE OF THE QUANTUM-MECHANICAL SPIN 1/2 DOUBLET MODEL

... does not appeal to the complete sets of operators, then the solutions of the SF equation (9) are linked directly only with the Sturm-Liouville problem for the energy operator (6). In this case one comes to ... See full document

13

Analytic Spin and Pseudospin Solutions to the Dirac Equation for the Manning-Rosen Plus Hellmann Potential and Yukawa-Like Tensor Interaction

Analytic Spin and Pseudospin Solutions to the Dirac Equation for the Manning-Rosen Plus Hellmann Potential and Yukawa-Like Tensor Interaction

... conservative quantities with > .. being the total angular momentum operator and = = #1. A. + 1% is the spin-orbit where A. is the orbital angular momentum of the spherical nucleons that commutes with the Dirac ... See full document

8

NUMERICAL SOLUTION OF AN INVERSE PROBLEM FOR THE LIOUVILLE EQUATION

NUMERICAL SOLUTION OF AN INVERSE PROBLEM FOR THE LIOUVILLE EQUATION

... In this section, we present numerical solution of three inverse problems of the form (9)-(10) by using the method developed in the previous section. The computations are performed using MATLAB R2014a program on a ... See full document

12

NUMERICAL SOLUTION OF THE INTERRELATED DIFFERENTIAL EQUATION OF MOTION IN PHONON ENGINEERING

NUMERICAL SOLUTION OF THE INTERRELATED DIFFERENTIAL EQUATION OF MOTION IN PHONON ENGINEERING

... motion equation of atoms in a crystal with some simplification, results in a second order ordinary differential equation and two interrelated second order differential equations for 3 polarizations ... See full document

7

The analogy of equation of rotation in complex plane with the Dirac equation, and its foundation

The analogy of equation of rotation in complex plane with the Dirac equation, and its foundation

... where 𝑨𝑨 and � are coefficients related to the rotation of the system (Appendix I). Equation (15) is a complex velocity equation. The properties of the coefficients are shown in Appendix II. As shown in ... See full document

11

Unified Field Theory in a Nutshell—Elicit Dreams of a Final Theory Series

Unified Field Theory in a Nutshell—Elicit Dreams of a Final Theory Series

... field Equation (2) is a tensor, it does not suffer the same problem suffered by the geodesic Equation ...field Equation (2) needs not be formulated exclusively in Gaussian coordinate sys- ... See full document

35

The Method of Organizing the Iterative Process of the System of the Linear Algebraic Equations Solution Excluding the Multidigit Multiplication Operation

The Method of Organizing the Iterative Process of the System of the Linear Algebraic Equations Solution Excluding the Multidigit Multiplication Operation

... systems solution on the basis of the first order delta-modulations, as well as substantial proximity on the number of iterations to the fixed point iteration method and in some cases represents the advantage over ... See full document

9

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