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- W2052575147 abstract "We review the Euclidean Hopf algebra $U_q(e^N)$ dual of $Fun(rn_q^Nlcross SO_{q^{-1}}(N))$ and describe its fundamental Hilbert space representations cite{fioeu}, which turn out to be rather simple lattice-regularized versions of the classical ones, in the sense that the spectra of squared momentum components are discrete and the corresponding eigenfunctions normalizable.These representations can be regarded as describing a quantum system consisting of one free particle on the quantum Euclidean space. A suitable notion of classical limit is introduced, so that we recover the classical continuous spectra and generalized (non-normalizable) eigenfunctions in that limit." @default.
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- W2052575147 date "1996-02-20" @default.
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- W2052575147 title "THE q-EUCLIDEAN ALGEBRA U<sub>q</sub>(e<sup>N</sup>) AND THE CORRESPONDING q-EUCLIDEAN LATTICE" @default.
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- W2052575147 doi "https://doi.org/10.1142/s0217751x96000390" @default.
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