Pursuing the aims of geometric quantum mechanics, it is shown in a geometrical fashion that, at least in finite dimensions, Schroedinger dynamics enjoys classical complete integrability, and several consequences therefrom are deduced, including a Hannay-type reinterpretation of Berry's phase and a geometric description of some aspects of the quantum measurement problem.
Benvegnu', A., Sansonetto, N., Spera, M., Remarks on geometric quantum mechanics, <<JOURNAL OF GEOMETRY AND PHYSICS>>, N/A; 51 (N/A): 229-243. [doi:10.1016/j.geomphys.2003.10.008] [http://hdl.handle.net/10807/35682]
Remarks on geometric quantum mechanics
Spera, Mauro
2004
Abstract
Pursuing the aims of geometric quantum mechanics, it is shown in a geometrical fashion that, at least in finite dimensions, Schroedinger dynamics enjoys classical complete integrability, and several consequences therefrom are deduced, including a Hannay-type reinterpretation of Berry's phase and a geometric description of some aspects of the quantum measurement problem.
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