BRAID GROUP-RELATED ALGEBRAS, THEIR REPRESENTATIONS AND GENERALIZED HYDROGENLIKE SPECTRA

ARIK, M; AYDIN, Fügen; HIZEL, E; KORNFILT, J; YILDIZ, A

doi:10.1063/1.530506

BRAID GROUP-RELATED ALGEBRAS, THEIR REPRESENTATIONS AND GENERALIZED HYDROGENLIKE SPECTRA

ARIK M., AYDIN F., HIZEL E., KORNFILT J., YILDIZ A.

JOURNAL OF MATHEMATICAL PHYSICS, cilt.35, sa.6, ss.3074-3088, 1994 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 35 Sayı: 6
Basım Tarihi: 1994
Doi Numarası: 10.1063/1.530506
Dergi Adı: JOURNAL OF MATHEMATICAL PHYSICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.3074-3088
Yıldız Teknik Üniversitesi Adresli: Evet

Özet

Representations of the n-braid group where generators are given by matrices whose elements belong to a noncommutative algebra are discussed. Representation of this algebra in a Hilbert space generalizes the Burau representation. Two algebras which are closely related and are physically indistinguishable provided that a particular eigenvalue is fine tuned are discussed. It is shown that the generalized oscillator system given by one of the algebras generates a hydrogenlike spectrum.