Quantum mechanics on the hypercube

Floratos, E.G.; Nicolis, S.

Quantum mechanics on the hypercube

Jun, 2000

8 pages

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hep-th/0006006 [hep-th]

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Abstract:

We construct quantum evolution operators on the space of states, that is represented by the vertices of the n-dimensional unit hypercube. They realize the metaplectic representation of the modular group SL(2,Z(2^n)). By construction this representation acts in a natural way on the coordinates of the non-commutative 2-torus,T^2, and thus is relevant for noncommutative field theories as well as theories of quantum space-time.

quantum mechanics
phase space
operator: algebra
group theory: SL(2,Z)
group theory: modular

References(47)

Figures(0)

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