RELATIVISTIC GENERALIZATION OF BOHMS QUANTUM POTENTIAL

Bohm's non-relativistic approach to quantum mechanics is generalized t o 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 Schrodinger equations in a similar way as the origina l quantum potential is deduced from the ordinary Schrodinger equation. The leading term of the new quantum force turns out as the well-known classical Lorentz force of electrodynamics, but modified by some quan tum corrections. In the non-relativistic limit, Bohm's result is recov ered again for a scalar particle.