On a heuristic point of view concerning the motion of matter. From random metric to Schroedinger equation

Details On a heuristic point of view concerning the motion of matter. From random metric to Schroedinger equation On a heuristic point of view concerning the motion of matter. From random metric to Schroedinger equation

2005-10-08

arxiv.org/abs/quant-ph/0510059v2

Physics Letters A 352, 49-54 (2006)

Physics

Quantum Physics

13 pages, minor changes, publication reference given

Scientific paper

10.1016/j.physleta.2005.11.039

The motion of a particle is studied in a random space-time. It is assumed
that the velocity is small enough for the non-relativistic approximation to be
valid. The randomness of the metric induces a diffusion in coordinate space.
Hence it is shown that the evolution of the probability density is given by
Schroedinger equation.

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