Global existence and uniqueness of Bohmian trajectories

Physics – Quantum Physics

Scientific paper

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18 pages, LaTeX, contribution to "Bohmian Mechanics and Quantum Theory: An Appraisal," edited by J.T. Cushing, A. Fine, and S.

Scientific paper

It is shown that Bohmian mechanics is internally consistent in the sense that
the equations of motion typically have global solutions despite the fact that
the velocity field is singular at the nodes of the wave function and at other
points. This result is fundamental for the derivation of the quantum formalism.
The role of the quantum flux is emphasized.

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