Journals / Turkish Journal of Physics / 1999 / Cilt: 23 - Sayı: 1
Nonextensivity and Quantum Groups
- Journal
- Turkish Journal of Physics
- Pages
- 1–8
- 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 SUq(d) as the symmetry associated with the construction of d random sets from a given source set of M=(1-q)-1 elements.
Özet
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 SUq(d) as the symmetry associated with the construction of d random sets from a given source set of M=(1-q)-1 elements.