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Abstract: The dimensionless electromagnetic coupling constant $\alpha=e^2 /\hbar c$ may have three interpretations: as the well known ratio between the electron charge radius $e^2/mc^2$ and the Compto...
Abstract: The application of a recently developed numerical method for the solution of the time-dependent Dirac equation is presented. This numerical method, described in \cite{Lorin2011190}, is based...
Abstract: We propose the relativistic particle model without Grassmann variables which, being canonically quantized, leads to the Dirac equation. Both $\Gamma$\,-matrices and the relativistic spin-ten...
Abstract: We construct the relativistic particle model without Grassmann variables which meets the following requirements. A) Canonical quantization of the model implies the Dirac equation. B) The var...
The Lorentz-Abraham-Dirac equation is reinterpreted as the lowest order, asymptotic differential relation for the velocity of the radiating pointlike mass, and higher order terms are added for more pr...
We present solutions of the Dirac equation with spin symmetry for vector and scalar modified P\"oschl-Teller potential within framework of an approximation of the centrifugal term. The relativistic e...
We argue that the Fermi-Hubbard Hamiltonian describing the physics of ultracold atoms on optical lattices in the presence of artificial non-Abelian gauge fields, is exactly equivalent to the gauge the...
The time-dependent Dirac equation is solved using the three-dimensional Finite Difference-Time Domain (FDTD) method. The dynamics of the electron wave packet in a scalar potential is studied in the ar...
2001Vol.36No.2pp.129-130DOI: Global Solutions of Einstein-Dirac Equation on the Conformal Space LU Qi-Keng,1 WANG Shi-Kun2 and WU Ke3 1 Institute of Mathematics, Academ...
2003Vol.40No.3pp.283-284DOI: Exact Solution to the One-Dimensional Dirac Equation with Time Varying Mass YANG Jin, XIANG An-Ping, and YU Wan-Lun Department of Optics an...
2004Vol.41No.6pp.859-866DOI: Extended Wronskian Determinant Approach and Iterative Solutions of One-Dimensional Dirac Equation XU Ying, LU Meng, and SU Ru-Keng Departmen...

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