Q-OSCILLATORS AND RELATIVISTIC POSITION-OPERATORS


ARIK M., MUNGAN M.

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

  • Cilt numarası: 282
  • Basım Tarihi: 1992
  • Doi Numarası: 10.1016/0370-2693(92)90485-m
  • Dergi Adı: PHYSICS LETTERS B
  • Sayfa Sayıları: ss.101-104

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.