Non-commutative Solitons in Finite Quantum Mechanics

Details Non-commutative Solitons in Finite Quantum Mechanics Non-commutative Solitons in Finite Quantum Mechanics

2002-09-03

arxiv.org/abs/hep-lat/0209032v1

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages LaTeX. Uses espcrc2.sty and amssymb.sty. Contribution to Lattice 2002(theoretical)

Scientific paper

10.1016/S0920-5632(03)01727-4

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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