Deformed Morse-like potential

التفاصيل البيبلوغرافية
العنوان: Deformed Morse-like potential
المؤلفون: Assi, I. A., Alhaidari, A. D., Bahlouli, H.
المصدر: J. Math. Phys. 62 (2021) 093501
سنة النشر: 2021
المجموعة: Quantum Physics
مصطلحات موضوعية: Quantum Physics
الوصف: We introduce an exactly solvable one-dimensional potential that supports both bound and/or resonance states. This potential is a generalization of the well-known 1D Morse potential where we introduced a deformation that preserves the finite spectrum property. On the other hand, in the limit of zero deformation, the potential reduces to the exponentially confining potential well introduced recently by A. D. Alhaidari. The latter potential supports infinite spectrum which means that the zero deformation limit is a critical point where our system will transition from the finite spectrum limit to the infinite spectrum limit. We solve the corresponding Schrodinger equation and obtain the energy spectrum and the eigenstates using the tridiagonal representation approach.
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نوع الوثيقة: Working Paper
DOI: 10.1063/5.0046346
URL الوصول: http://arxiv.org/abs/2101.09703
رقم الأكسشن: edsarx.2101.09703
قاعدة البيانات: arXiv