SU(d)-invariant multidimensional q-oscillators with bosonic degeneracy


Algin A., Arik M., Atakishiyev N.

MODERN PHYSICS LETTERS A, cilt.15, sa.19, ss.1237-1242, 2000 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Konu: 19
  • Basım Tarihi: 2000
  • Doi Numarası: 10.1142/s0217732300001535
  • Dergi Adı: MODERN PHYSICS LETTERS A
  • Sayfa Sayıları: ss.1237-1242

Özet

Multidimensional two-parameter (q(1),q(2))-oscillators are of two kinds: one is invariant under the (ordinary) Lie group SU(d), whereas the other is invariant under the quantum group SUq(d) where q = q(1)/q(2). It is shown that the q(1) = q(2) limit of both of these two-parameter oscillators coincide and give the q-deformed Newton oscillator which can be derived from the standard quantum harmonic oscillator Newton equation. The bosonic degeneracies of the excited levels of these oscillators are different for q(1) not equal q(2), but coincide in the q(1) = q(2) limit.