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Relativistic generalization of Bohm's quantum potential

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Il Nuovo Cimento B (1971-1996)

Summary

Bohm's non-relativistic approach to quantum mechanics is generalized to the relativistic domain. The non-relativistic concept of a «quantum potential» is transcribed into the corresponding «quantum force». This quantum force can be deduced from the recently established theory of relativistic Schrödinger equations in a similar way as the original quantum potential is deduced from the ordinary Schrödinger equation. The leading term of the new quantum force turns out as the well-known classical Lorentz force of electrodynamics, but modified by some quantum corrections. In the non-relativistic limit, Bohm's result is recovered again for a scalar particle.

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Authors and Affiliations

  1. II. Institut für Theoretische Physik der Universität Stuttgart, Pfaffenwaldring 57, D, 70550, Stuttgart, Germany

    M. Mattes & M. Sorg

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  1. M. Mattes
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  2. M. Sorg
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Mattes, M., Sorg, M. Relativistic generalization of Bohm's quantum potential. Nuov Cim B 110, 1323–1340 (1995). https://doi.org/10.1007/BF02723116

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  • DOI: https://doi.org/10.1007/BF02723116

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