English

Cyclic Evolution on Grassmann Manifold and Berry Phase

Quantum Physics 2007-12-27 v1

Abstract

For a given kk-dimensional subspace V0V_0 in a Hilbert space \hilb\hilb and a unitary transformation g0:V0\ToV0g_0:V_0\To V_0, we find a path in the Grassmann manifold the monodromy of which coincides with g0g_0.

Cite

@article{arxiv.0712.3843,
  title  = {Cyclic Evolution on Grassmann Manifold and Berry Phase},
  author = {Zakaria Giunashvili},
  journal= {arXiv preprint arXiv:0712.3843},
  year   = {2007}
}

Comments

4 pages

R2 v1 2026-06-21T09:57:05.255Z