Commutative Relations for the Nonlinear Dirac Equation

Physics – General Physics

Scientific paper

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13 pages, no figures

Scientific paper

By constructing the commutative operators chain, we derive conditions for solving the eigenfunctions of Dirac equation and Schr\"odinger type equation via separation of variables. Detailed calculation shows that, only a few cases can be completely reduced into ordinary differential equation system. So the effective perturbation or approximation methods for the resolution of the spinor equation are necessary, especially for the nonlinear cases.

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