Year: 2000
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Floratos, E. G., Nicolis, S.
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1575601468