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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...
Numerical Solution of the Two-Dimensional Gross-Pitaevskii Equation for Trapped Interacting Atoms
Numerical Solution Two-Dimensional Gross-Pitaevskii Equation Trapped Interacting Atoms
2010/10/18
We present a numerical scheme for solving the time-independent nonlinear Gross-Pitaevskii equation in two dimensions describing the Bose-Einstein condensate of trapped interacting neutral atoms at zer...