SL(Q)(2) REALIZATIONS FOR KEPLER AND OSCILLATOR POTENTIALS AND Q-CANONICAL TRANSFORMATIONS

DAYI, Ömer; DURU, IH

doi:10.1088/0305-4470/28/8/029

SL(Q)(2) REALIZATIONS FOR KEPLER AND OSCILLATOR POTENTIALS AND Q-CANONICAL TRANSFORMATIONS

Atıf İçin Kopyala

DAYI O., DURU I.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, cilt.28, sa.8, ss.2395-2402, 1995 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 28 Sayı: 8
Basım Tarihi: 1995
Doi Numarası: 10.1088/0305-4470/28/8/029
Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.2395-2402
İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

The realizations of the Lie algebra corresponding to the dynamical symmetry group SO(2, 1) of the Kepler and oscillator potentials are q-deformed. The q-canonical transformation connecting two realizations is given and a general definition for the q-canonical transformation is deduced. A q-Schrodinger equation for a Kepler-like potential is obtained from the q-oscillator Schrodinger equation. The energy spectrum and the ground-state wavefunction are calculated.