کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5495757 | 1529831 | 2017 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Quadratic algebra structure in the 5D Kepler system with non-central potentials and Yang-Coulomb monopole interaction
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
فیزیک و نجوم
فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Quadratic algebra structure in the 5D Kepler system with non-central potentials and Yang-Coulomb monopole interaction Quadratic algebra structure in the 5D Kepler system with non-central potentials and Yang-Coulomb monopole interaction](/preview/png/5495757.png)
چکیده انگلیسی
We construct the integrals of motion for the 5D deformed Kepler system with non-central potentials in su(2) Yang-Coulomb monopole field. We show that these integrals form a higher rank quadratic algebra Q(3;Lso(4),Tsu(2))âso(4), with structure constants involving the Casimir operators of so(4) and su(2) Lie algebras. We realize the quadratic algebra in terms of the deformed oscillator and construct its finite-dimensional unitary representations. This enable us to derive the energy spectrum of the system algebraically. Furthermore we show that the model is multiseparable and allows separation of variables in the hyperspherical and parabolic coordinates. We also show the separability of its 8D dual system (i.e. the 8D singular harmonic oscillator) in the Euler and cylindrical coordinates.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Physics - Volume 380, May 2017, Pages 121-134
Journal: Annals of Physics - Volume 380, May 2017, Pages 121-134
نویسندگان
Md Fazlul Hoque, Ian Marquette, Yao-Zhong Zhang,