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Abstract

Until now the solutions of the Dirac equation with negative energy have been a puzzle. Attempts similar to those we performed with the solutions of the Klein-Gordon equation, where the energy turned out to be positive (by the Lagrange formalism) for solutions with positive and negative time evolution factors, proved unsuccessful (cf. Exercise 2.3). Solutions with negative energy appear almost everyhwere when we are concerned with processes of high energy or with strongly localized wave packets (see Exercises 8.4, 8.5). At this point we have to confront this dilemma and find a proper solution!

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© 1990 Springer-Verlag Berlin Heidelberg

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Greiner, W. (1990). The Hole Theory. In: Relativistic Quantum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-88082-7_12

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  • DOI: https://doi.org/10.1007/978-3-642-88082-7_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-99535-7

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