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Deformed Oscillators with Two Double (Pairwise) Degeneracies of Energy Levels
Репозиторій DSpace/Manakin
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3
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Deformed Oscillators with Two Double (Pairwise) Degeneracies of Energy Levels
Інший ID:
2000 Mathematics Subject Classification: 81S05; 81R50
Посилання:
Deformed Oscillators with Two Double (Pairwise) Degeneracies of Energy Levels / A.M. Gavrilik, A.P. Rebesh // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 18 назв. — англ.
Підтримка:
This paper is a contribution to the Proceedings of the Seventh International Conference “Symmetry in Nonlinear Mathematical Physics” (June 24–30, 2007, Kyiv, Ukraine). This work was done under partial support of the Grant Number 14.01/016 of the State Foundation of Fundamental Research of Ukraine.
Дата:
2007
Переглядів:
562
Завантажень:
237
Анотація:
A scheme is proposed which allows to obtain special q-oscillator models whose characteristic feature consists in possessing two differing pairs of degenerate energy levels. The method uses the model of two-parameter deformed q,p-oscillators and proceeds via appropriately chosen particular relation between p and q. Different versions of quadratic relations p = f(q) are utilized for the case which implies two degenerate pairs E₁ = E₂ and E₃ = E₄. On the other hand, using one fixed quadratic relation, we obtain p-oscillators with other cases of two pairs of (pairwise) degenerate energy levels.
