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arXiv · hep-lat/0209032

Non-commutative Solitons in Finite Quantum Mechanics

E. G. Floratos·S. Nicolis
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Abstract

We construct the unitary evolution operators that realize the quantization of linear maps of SL(2,R) over phase spaces of arbitrary integer discretization N and show the non-trivial dependence on the arithmetic nature of N. We discuss the corresponding uncertainty principle and construct the corresponding coherent states, that may be interpreted as non-commutative solitons.

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E. G. Floratos, S. Nicolis. 2002-09-03. Non-commutative Solitons in Finite Quantum Mechanics. https://doi.org/10.1016/s0920-5632(03)01727-4

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