Sum-over-histories origin of the composition laws of relativistic quantum mechanics and quantum cosmology.

@article{Halliwell1993SumoverhistoriesOO,
  title={Sum-over-histories origin of the composition laws of relativistic quantum mechanics and quantum cosmology.},
  author={David Halliwell and Sandra Ort{\'i}z},
  journal={Physical review. D, Particles and fields},
  year={1993},
  volume={48 2},
  pages={
          748-768
        }
}
This paper is concerned with the question of the existence of composition laws in the sum-overhistories approach to relativistic quantum mechanics and quantum cosmology, and its connection with the existence a canonical formulation. In non-relativistic quantum mechanics, the propagator is represented by a sum over histories in which the paths move forwards in time. The composition law of the propagator then follows from the fact that the paths intersect an intermediate surface of constant time… CONTINUE READING

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