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

ÇELİK D., Kocak S.

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.22, no.1, pp.39-47, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 22 Issue: 1
  • Publication Date: 2012
  • Doi Number: 10.1007/s00006-011-0295-3
  • Journal Name: ADVANCES IN APPLIED CLIFFORD ALGEBRAS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.39-47
  • Keywords: Fock representation, Clifford algebra, Cantor set, fractal representation
  • Anadolu University Affiliated: Yes

Abstract

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.