Q-OSCILLATORS AND RELATIVISTIC POSITION-OPERATORS

ARIK M., MUNGAN M.

PHYSICS LETTERS B, cilt.282, ss.101-104, 1992 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 282
  • Basım Tarihi: 1992
  • Doi Numarası: 10.1016/0370-2693(92)90485-m
  • Dergi Adı: PHYSICS LETTERS B
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.101-104
  • İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

We investigate the multi-dimensional q-oscillator whose commutation relations are invariant under the quantum group. The no-interaction limit corresponds to a contraction of the q-oscillator algebra and yields relativistic position operators which can be expressed in terms of the generators of the Poincare group. This leads to the interpretation of the interacting q-oscillator as an relativistic quantum system and results in a hamiltonian whose spectrum is exactly exponential.