Hyper nite-Dimensional Representations of Canonical Commutation Relation
نویسنده
چکیده
This paper presents some methods of representing canonical commutation relations in terms of hyper nite-dimensional matrices, which are constructed by nonstandard analysis. The rst method uses representations of a nonstandard extension of nite Heisenberg group, called hyper nite Heisenberg group. The second is based on hyper nite-dimensional representations of so(3). Then, the cases of in nite degree of freedom are argued in terms of the algebra of hyper nite parafermi oscillators, which is mathematically equivalent to a hyper nite-dimensional representation of so(n). PACS numbers: 03.65.-w
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