تقرير
Investigation of the Dunkl-Schr\'odinger equation for Position Dependent Mass in the presence of a Lie algebraic approach
| العنوان: | Investigation of the Dunkl-Schr\'odinger equation for Position Dependent Mass in the presence of a Lie algebraic approach |
|---|---|
| المؤلفون: | Sedaghatnia, P., Hassanabadi, H., Chung, W. S., Lütfüoğlu, B. C., Hassanabadi, S., Kříž, J. |
| سنة النشر: | 2022 |
| المجموعة: | Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics |
| الوصف: | Recent studies have shown that the use of Dunkl derivatives instead of ordinary derivatives leads to deriving parity-dependent dynamic solutions. According to this motivation in this manuscript, we formulate the Dunkl-Schr\"odinger equation within the position-dependent mass formalism and derive an algebraic solution out of it. Our systematic approach lets us observe some new findings in addition to the earlier ones. For example, we find that the solution of the Dunkl-Schr\"oodinger equation with position-dependent mass cannot be considered independent of the choice of parameters. Similarly, through the sl(2) algebra, the energy spectrum and the corresponding wave functions are derived in terms of possible Dunkl, ($\mu$), and mass, ($\alpha$), parameters. Comment: 7 pages |
| نوع الوثيقة: | Working Paper |
| الوصول الحر: | http://arxiv.org/abs/2208.12416Test |
| رقم الانضمام: | edsarx.2208.12416 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |