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Geometric description of the Schr\"odinger equation in 3n+1 dimensional configuration space

High Energy Physics - Theory 2017-09-20 v1

Abstract

We show that for non-relativistic free particles, the (bosonic) many particle equations can be rewritten in geometric fashion in terms of a classical theory of conformally stretched spacetime. We further generalize the results for the particles subject to a potential.

Keywords

Cite

@article{arxiv.1703.09901,
  title  = {Geometric description of the Schr\"odinger equation in 3n+1 dimensional configuration space},
  author = {M. Abdul Wasay and Asma Bashir and Benjamin Koch and Abdul Ghaffar},
  journal= {arXiv preprint arXiv:1703.09901},
  year   = {2017}
}

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6 pages