Geometry of the adiabatic theorem

Physics – Quantum Physics

Scientific paper

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14 pages, 6 figures

Scientific paper

We present a simple and pedagogical derivation of the quantum adiabatic
theorem based on geometrical structures of quantum mechanics developed by
Anandan and Aharonov, among others. We have chosen to use only the minimum
geometric structure needed for an understanding of the adiabatic theorem.

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