A Fractal Representation of the Complex Clifford Algebra Equivalent to the Fock Representation
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.22, no.1, pp.39-47, 2012 (SCI-Expanded, Scopus)
- 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.