%0 Journal Article %T On quantum evolution as a parallel transport %A G. Sardanashvily %J Physics %D 2000 %I arXiv %X Time-dependent quantum evolution is described by an algebraic connection on a $C^\infty(R)$-module of sections of a $C^*$-algebra (or Hilbert) fibre bundle. %U http://arxiv.org/abs/quant-ph/0004050v1