用NU法和映射法分析q-变形修正Poschl-Teller势和双曲Scarf势的能谱和波函数

A. Suparmi, C. Cari, H. Yuliani
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引用次数: 11

摘要

利用Nikiforov-Uvarov方法和映射方法研究了q-变形修正Poschl-Teller势和双曲Scarf势的薛定谔方程的解。通过应用空间变量的平移,将非变形势映射到变形势上,反之亦然,并作为乘积获得势的参数缩放。给出了用NU法得到的束缚态能谱的封闭形式,并用雅可比多项式表示了相应的波函数。利用势的参数标度从非变形势到变形势进行映射,得到了系统的能谱和径向波函数。关键词:能谱,波函数,q-变形双曲Scarf II, q-变形修正Poschl-Teller, Nikiforov-Uvarov方法,映射方法DOI: 10.7176/ apata -16-8
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Energy Spectra and Wave Function Analysis of q-Deformed Modified Poschl-Teller and Hyperbolic Scarf II Potentials Using NU Method and a Mapping Method
The solution of Schrodinger equations for q-deformed modified Poschl-Teller and hyperbolic Scarf II potentials are investigated using Nikiforov-Uvarov method and a mapping method. By applying a translation of spatial variable non-deformed potentials are mapped on to deformed potential or vice versa and as a product the potential’s parameters scaling obtained. The bound state energy spectra obtained using NU method are given in the close form and the corresponding wave functions are formulated in terms of the Jacobi Polynomials. The energy spectra and the radial wave functions of the system are also produced by a mapping using potential’s parameters scaling from the non-deformed to the deformed potential. Keywords :Energy spectra, wave-function, q-deformed hyperbolic Scarf II, q-deformed modified Poschl-Teller, Nikiforov-Uvarov method, a mapping method DOI: 10.7176/APTA-16-8
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