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-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 19
  • Basım Tarihi: 2000
  • Doi Numarası: 10.1142/s0217732300001535
  • Dergi Adı: MODERN PHYSICS LETTERS A
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1237-1242
  • Eskişehir Osmangazi Üniversitesi Adresli: Hayır

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.