Cyclic Evolution on Grassmann Manifold and Berry Phase

Physics – Quantum Physics

Scientific paper

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4 pages

Scientific paper

For a given $k$-dimensional subspace $V_0$ in a Hilbert space $\hilb$ and a
unitary transformation $g_0:V_0\To V_0$, we find a path in the Grassmann
manifold the monodromy of which coincides with $g_0$.

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