تقرير
New solutions of the D-dimensional Klein-Gordon equation via mapping onto the nonrelativistic one-dimensional Morse potential
| العنوان: | New solutions of the D-dimensional Klein-Gordon equation via mapping onto the nonrelativistic one-dimensional Morse potential |
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| المؤلفون: | Garcia, M. G., de Castro, A. S., Castro, L. B., Alberto, P. |
| المصدر: | Annals of Physics 378 (2017) 88-99 |
| سنة النشر: | 2017 |
| المجموعة: | High Energy Physics - Theory Quantum Physics |
| مصطلحات موضوعية: | High Energy Physics - Theory, Quantum Physics |
| الوصف: | New exact analytical bound-state solutions of the D-dimensional Klein-Gordon equation for a large set of couplings and 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 irrational equations at the worst. Several analytical results found in the literature, including the so-called Klein-Gordon oscillator, are obtained as particular cases of this unified approach |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.aop.2017.01.010 |
| الوصول الحر: | http://arxiv.org/abs/1703.00578Test |
| رقم الانضمام: | edsarx.1703.00578 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.aop.2017.01.010 |
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