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Klein's paradox in a four-space formulation of Dirac's equation

Abstract

A 4-space formulation of Dirac's equation gives results formally identical to those of the usual Klein paradox. However, some extra physical detail can be inferred, and this suggests that the most extreme case involves pair production within the potential barrier.

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References

  1. 1.

    J. D. Bjorken and S. D. Drell,Relativistic Quantum Mechanics (McGraw-Hill, New York, 1964).

  2. 2.

    C. Itzykson and J.-B. Zuber,Quantum Field Theory (McGraw-Hill, New York, 1980).

  3. 3.

    H. Wergeland,Old and New Questions in Physics, Cosmology, Philosophy, and Theoretical Biology, A. van der Merwe, ed. (Plenum, New York, 1983), p. 503.

  4. 4.

    R. G. Winter,Am. J. Phys. 27, 355 (1959).

  5. 5.

    A. B. Evans,Found. Phys. Lett. 2, 499 (1989).

  6. 6.

    A. B. Evans,Found. Phys. 20, 309 (1990).

  7. 7.

    J. R. Fanchi and R. E. Collins,Found. Phys. 8, 851 (1978).

  8. 8.

    B. Thaller,Lett. Nuovo Cimento 31, 439 (1981).

  9. 9.

    J. R. Fanchi,Found. Phys. 11, 493 (1981).

  10. 10.

    L. P. Horwitz and C. Piron,Helv. Phys. Acta 46, 316 (1973); L. P. Horwitz, C. Piron, and F. Reuse,Helv. Phys. Acta 48, 546 (1975); C. Piron and F. Reuse,Helv. Phys. Acta 51, 146 (1978).

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Evans, A.B. Klein's paradox in a four-space formulation of Dirac's equation. Found Phys 21, 633–647 (1991). https://doi.org/10.1007/BF00733274

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Keywords

  • Extreme Case
  • Potential Barrier
  • Pair Production
  • Physical Detail
  • Klein Paradox