Construction of position and momentum operators and Hamiltonians by embedding and submersion |
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| Authors: | Heinz Peter Berg |
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| Institution: | 1. Institut für Theoretische Physik, Technische Universit?t Clausthal, D-3392, Clausthal-Zellerfeld, West Germany
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| Abstract: | Extrinsic position and momentum operators are defined on a manifold M via an embedding i: M→(R
n
, g
n
) and, via a submersion, π: R
n
→M. A Hamiltonian
, describing free dynamics on M, is constructed as an intrinsic property of M by the embedding i and an associated Riemannian geodesic submersion. |
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| Keywords: | |
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