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A Procedure to Solve the Eigen Solution to Dirac Equation |
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PP: 161-163 |
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Author(s) |
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Ying-Qiu Gu,
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Abstract |
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| In this paper, we provide a procedure to solve the eigen solutions of Dirac equation with complicated potential
approximately. At first, we solve the eigen solutions of a linear Dirac equation with complete eigen system, which approximately
equals to the original equation. Take the eigen functions as base of Hilbert space, and expand the spinor on the bases, we convert the
original problem into solution of extremum of an algebraic function on the unit sphere of the coefficients. Then the problem can be
easily solved. This is a standard finite element method with strict theory for convergence and effectiveness. |
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