Physical Meaning of Quantum Space-Time Symmetries

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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17 pages, LaTeX; one reference and the corresponding remark in the text have been added

Scientific paper

A definition is given and the physical meaning of quantum transformations of a non-commutative configuration space (quantum group coactions) is discussed. It is shown that non-commutative coordinates which are transformed by quantum groups are the natural generalization of the notion of a tensor operator for usual groups and that the quantum group coactions induce semigroups of transformations of states of a system. Two examples of non-commutative transformations and the corresponding semigroups are considered.

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