تقرير
Solutions of the three-dimensional radial Dirac equation from the Schr\'odinger equation with one-dimensional Morse potential
| العنوان: | Solutions of the three-dimensional radial Dirac equation from the Schr\'odinger equation with one-dimensional Morse potential |
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| المؤلفون: | Garcia, M. G., de Castro, A. S., Alberto, P., Castro, L. B. |
| سنة النشر: | 2017 |
| المجموعة: | Mathematics High Energy Physics - Theory Mathematical Physics Quantum Physics |
| مصطلحات موضوعية: | High Energy Physics - Theory, Mathematical Physics, Quantum Physics |
| الوصف: | New exact analytical bound-state solutions of the radial Dirac equation in 3+1 dimensions for two sets of couplings and radial potential functions are obtained via mapping onto the nonrelativistic bound-state solutions of the one-dimensional generalized Morse potential. The eigenfunctions are expressed in terms of generalized Laguerre polynomials, and the eigenenergies are expressed in terms of solutions of equations that can be transformed into polynomial equations. Several analytical results found in the literature, including the Dirac oscillator, are obtained as particular cases of this unified approach. Comment: arXiv admin note: text overlap with arXiv:1703.00578 |
| نوع الوثيقة: | Working Paper |
| الوصول الحر: | http://arxiv.org/abs/1705.00310Test |
| رقم الانضمام: | edsarx.1705.00310 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |