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Stability of solitary waves in the nonlinear Dirac equation with arbitrary nonlinearity
solitary waves nonlinear Dirac equation arbitrary nonlinearity
2014/10/10
We consider the nonlinear Dirac equation in 1+1 dimension with scalar-scalar self interaction g 2κ +1 (ΨΨ)ˉ κ +1 and with mass m. Using the exact analytic form for rest frame solitary waves of the for...
Multi-hump solitary waves of nonlinear Dirac equation
Nonlinear Dirac equation Solitary wave
2014/9/26
This paper concentrates on a (1+1)-dimensional nonlinear Dirac (NLD) equa-tion with a general self-interaction, being a linear combination of the scalar,
pseudoscalar, vector and axial vector self-in...
Two-vortex structure of electron, nonlocality and Dirac equation
Two-vortex structure electron nonlocality Dirac equation
2011/8/11
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...
Numerical Solution of the Time-Dependent Dirac Equation in Coordinate Space without Fermion-Doubling
Dirac equation Numerical method Fermion doubling problem Klein paradox Relativistic wave packet
2011/8/11
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...
On the meaning of the Vakhitov-Kolokolov stability criterion for the nonlinear Dirac equation
the Vakhitov-Kolokolov stability criterion the nonlinear Dirac equation Analysis of PDEs
2011/8/31
Abstract: We consider the spectral stability of solitary wave solutions \phi(x)e^{-i\omega t} to the nonlinear Dirac equation in any dimension. This equation is well-known to theoretical physicists as...
Semiclassical Description of Relativistic Spin without use of Grassmann variables and the Dirac equation
Relativistic Spin Grassmann variables Dirac equation
2011/9/29
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...
Spinning-particle model for the Dirac equation and the relativistic Zitterbewegung
Spinning-particle model the Dirac equation the relativistic Zitterbewegung
2011/7/28
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...
Scattering of Solitons for Dirac Equation Coupled to a Particle
Scattering of Solitons Dirac Equation Coupled Particle
2011/1/21
We establish soliton-like asymptotics for finite energy solutions to the Dirac equation coupled to a relativistic particle. Any solution with initial state close to the solitary manifold, converges in...
Improvement on the Lorentz-Abraham-Dirac equation
Improvement Lorentz-Abraham-Dirac equation
2010/11/16
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...
Dirac Equation with Spin Symmetry for the Modified Pöschl-Teller Potential in $D$-dimensions
Dirac Equation Spin Symmetry Modified Pö schl-Teller Potential $D$-dimensions
2010/11/11
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...
Dirac Equation For Cold Atoms In Artificial Curved Spacetimes
Dirac Equation Cold Atoms Artificial Curved Spacetimes
2010/11/11
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...
Finite Difference-Time Domain solution of Dirac equation and the Klein Paradox
finite difference time domain(FDTD) Dirac equation numerical solution wave packet Klein paradox
2010/4/9
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...
Global Solutions of Einstein-Dirac Equation on the Conformal Space
Lorentz manifold Dirac operator conformal space
2007/8/15
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...
Exact Solution to the One-Dimensional Dirac Equation with Time
Varying Mass
invariant operator method time-dependent Dirac equation solution
2007/8/15
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...
Extended Wronskian Determinant Approach and Iterative Solutions
of One-Dimensional Dirac Equation
extended Wronskian determinant approach iteration method double-well
potential
2007/8/15
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...