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Paper   IPM / Physic / 6725
School of Physics
  Title:   About Some Problems Raised by the Relativistic Form of De-Broglie-Bohm Theory of Pilot Wave
1.  A. Shojai
2.  F. Shojai
  Status:   Published
  Journal: Physica Scripta
  No.:  96
  Vol.:  64
  Year:  2001
  Pages:   413-416
  Supported by:  IPM
The standard relativistic de-Broglie?Bohm theory has the problems of tacyonic solutions and the incorrect non-relativistic limit. In this paper we obtain a relativistic theory, not decomposing the relativistic wave equations but looking for a generalization of non-relativistic Bohmian theory in such a way that the correct non-relativistic limit emerges. In this way we are able to construct a relativistic de-Broglie?Bohm theory both for a single particle and for a many-particle system. At the end, the theory is extended to the curved space-time and the connection with quantum gravity is discussed.

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