Dirac equation
Solution of Dirac Equation with the Time Dependent Linear Potential in Non Commutative Phase Space
... of Dirac equation with time-dependent linear potential in non-commutative phase space ...the Dirac equation with time-de- pendent linear potential and to obtain, through the Lewis- ...
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A Real Version of the Dirac Equation and Its Coupling to the Electromagnetic Field
... real Dirac equation has a beta matrix that is antisymmetric, a property which causes problems for the fundamental Lorentz-invariant bilinear forms, such as ΨΨ which vanishes ...Majorana equation, if ...
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Symmetry of boundary conditions of the Dirac equation for electrons in carbon nanotubes
... Schr¨odinger equation and integrating with respect to fast degrees of freedom that vary on the scale of the unit cell leads to the Dirac equation ...the Dirac equation shows that the ...
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Link between the Relativistic Canonical Quantum Mechanics and the Dirac Equation
... obvious way be generalized for particle multiplets with arbitrary spin. For the case of arbitrary spin and multi- component wave functions, we suggested [7, 8] to call such type of equations as the Schr¨ odinger–Foldy ...
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A Variational Approach for Numerically Solving the Two Component Radial Dirac Equation for One Particle Systems
... the Dirac equation whose analytical solution generates the same set of en- ergy eigenvalues as the usual four dimensional represen- tation and further that it makes possible to construct a numerical method ...
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Chiral Dirac Equation Derived From Quaternionic Maxwell’s Systems
... the Dirac equation in the Weyl representation with Maxwell’s equations in the chiral formulation of Born Fedorov and show that only when the E field and H field are spatially parallel, we have that this ...
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Telegraph Equations and Complementary Dirac Equation from Brownian Movement
... Dirac Equation (3.16) in one spatial dimension and its generalization into the form given by Equation (3.19) appear naturally as the consequence of master Equations (2.2) and (3.10) of Brownian ...
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Analysis of the Numerical Solutions for the Massive Dirac Equation with Electric Potential Employing Biquaternionic Functions
... the Dirac equation, since, as the reader shall verify, most part of them are only accessible by means of the numerical analysis, because the integral expressions that will be further displayed can not be ...
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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- ...
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Tachyonic Dirac Equation Revisited
... The Dirac equation is one of the most widely used mathematical tools in modern theoretical physics ...the Dirac equation and the Schrodinger equation together form the main ...the ...
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New Solutions for the Massive Dirac Equation with Electric Potential, Employing Biquaternionic and Pseudoanalytic Functions
... the Dirac equation, such like scalar potentials, also studied in ...Vekua equation for vector spaces whose dimension is higher than two, as it was posed in ...
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The Phase Space Noncommutativity Effect on the Large and Small Wave Function Components Approach at Dirac Equation
... the Dirac equation, using sev- eral ways, including that there is the Douglas-Kroll-Hell approach, it used most- ly as part of relativistic quantum chemistry, and the Foldy-Wouthuysen trans- formation, ...
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THE DIRAC EQUATION AS THE CONSEQUENCE OF THE QUANTUM-MECHANICAL SPIN 1/2 DOUBLET MODEL
... The extended and detailed presentation of the results of the paper [1], which was re- ported at the 14-th International Conference on Mathematical Methods in Electromagnetic Theory and published in the Proceedings of ...
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Analytical Solutions of the 1D Dirac Equation Using the Tridiagonal Representation Approach
... one-dimensional Dirac equation using the Tridiagonal Re- presentation Approach ...in Dirac Equation, the problem can be reduced to solving an effective Schrodinger-like equation which ...
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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 ...
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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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General Spin Dirac Equation (II)
... As already stated, in (1), it is not clear why the quantity “ s ” has to take integral values s 1, 2, 3, , etc. . Because spin has to take integral and half integral values, it was assumed without proof ...
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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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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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Quantum transport simulations of graphene nanoribbon devices using Dirac equation calibrated with tight binding π bond model
... binding Dirac equation (TBDE), calibrated with para- meters from the tight-binding π -bond model (TB- π ) [10-13], is used together with the non-equilibrium Green ’ s function approach (NEGF) [14] to ...
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