Turkish Journal of Physics
DOI
-
Abstract
Classical set theory is nonextensive since the mathematical definition of a set excludes the possibility that more than one copy of the same element can be in a set. We show that the description of random sets in terms of an algebra of creation operators and their hermitean conjugates yields an interpretation of the unitary quantum group SU_q(d) as the symmetry associated with the construction of d random sets from a given source set of M=(1-q)^{-1} elements.
First Page
1
Last Page
8
Recommended Citation
ARIK, Metin (1999) "Nonextensivity and Quantum Groups," Turkish Journal of Physics: Vol. 23: No. 1, Article 1. Available at: https://journals.tubitak.gov.tr/physics/vol23/iss1/1