A q-deformed particle algebra with a unique d-dimensional representation

Tekin Ş. C. , ARIK M.

CENTRAL EUROPEAN JOURNAL OF PHYSICS, cilt.9, sa.4, ss.996-1001, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Konu: 4
  • Basım Tarihi: 2011
  • Doi Numarası: 10.2478/s11534-011-0002-y
  • Dergi Adı: CENTRAL EUROPEAN JOURNAL OF PHYSICS
  • Sayfa Sayıları: ss.996-1001

Özet

We present an algebra generated by a single pair of creation and annihilation operators b and b*. We prove that the algebra has a unique d-dimensional representation. Physically this algebra corresponds to a system where there are at most d - 1 particles in a state with otherwise same quantum numbers.