A Fractal Representation of the Complex Clifford Algebra Equivalent to the Fock Representation

ÇELİK D., Kocak S.

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, cilt.22, sa.1, ss.39-47, 2012 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 1
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1007/s00006-011-0295-3
  • Dergi Adı: ADVANCES IN APPLIED CLIFFORD ALGEBRAS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.39-47
  • Anahtar Kelimeler: Fock representation, Clifford algebra, Cantor set, fractal representation
  • Anadolu Üniversitesi Adresli: Evet

Özet

We construct a representation of the infinite dimensional complex Clifford algebra on the Hilbert space of square-integrable complex-valued functions on the Cantor set, which we show to be equivalent to the classical Fock representation.