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Exact solution of the dirac equation for an inhomogeneous magnetic field

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Lettere al Nuovo Cimento (1971-1985)

Summary

The two-component Dirac equation for the case of an electron in the inhomogeneous magnetic field Hx(y) = H/(I -ay)2 is solved exactly. Explicit expressions for the bound-state energy eigenvalues and eigenfunctions are given. Further, the exact solutions for certain related field configurations are also indicated.

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Authors and Affiliations

  1. Theoretical Physics Group, Department of Mathematics, Indian Institute of Technology, 600 036, Madras, India

    P. Achuthan & S. Benjamin

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  1. P. Achuthan
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  2. S. Benjamin
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Achuthan, P., Benjamin, S. Exact solution of the dirac equation for an inhomogeneous magnetic field. Lett. Nuovo Cimento 36, 417–420 (1983). https://doi.org/10.1007/BF02747179

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