Physics – General Physics
Scientific paper
2008-02-14
Physics
General Physics
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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