تقرير
Supersymmetric Quantum Mechanics with Reflections
| العنوان: | Supersymmetric Quantum Mechanics with Reflections |
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| المؤلفون: | Post, S., Vinet, L., Zhedanov, A. |
| المصدر: | J.Phys.A44:435301,2011 |
| سنة النشر: | 2011 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics, 15A18, 05E35, 33D45, 34Kxx, 81Q60 |
| الوصف: | We consider a realization of supersymmetric quantum mechanics where supercharges are differential-difference operators with reflections. A supersymmetric system with an extended Scarf I potential is presented and analyzed. Its eigenfunctions are given in terms of little -1 Jacobi polynomials which obey an eigenvalue equation of Dunkl type and arise as a q-> -1 limit of the little q-Jacobi polynomials. Intertwining operators connecting the wave functions of extended Scarf I potentials with different parameters are presented. Comment: 17 pages |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1088/1751-8113/44/43/435301 |
| URL الوصول: | http://arxiv.org/abs/1107.5844 |
| رقم الأكسشن: | edsarx.1107.5844 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1088/1751-8113/44/43/435301 |
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