scholarly journals Solutions to the Schrödinger Equation with Inversely Quadratic Yukawa Plus Inversely Quadratic Hellmann Potential Using Nikiforov-Uvarov Method

2013 ◽  
Vol 2013 ◽  
pp. 1-4 ◽  
Author(s):  
B. I. Ita ◽  
A. I. Ikeuba
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Hellmann Potential ◽  
Uvarov Method

scholarly journals STATISTICAL ANALYSIS AND INFORMATION THEORY OF SCREENED KRATZER-HELLMANN POTENTIAL MODEL

2021 ◽  
Author(s):  
G.T. Osobonye ◽  
U.S. Okorie ◽  
P.O. Amadi ◽  
A.N. Ikot
Keyword(s):  
Schrödinger Equation ◽  
Fisher Information ◽  
Shannon Entropy ◽  
Schrodinger Equation ◽  
Potential Model ◽  
Bound State ◽  
Screening Parameter ◽  
Hellmann Potential ◽  
Information Theoretic Measures ◽  
Uvarov Method

In this research, the radial Schrodinger equation for a newly proposed screened Kratzer-Hellmann potential model was studied via the conventional Nikiforov-Uvarov method. The approximate bound state solution of the Schrodinger equation was obtained using the Greene-Aldrich approximation in addition to the normalized eigenfunction for the new potential model, both analytically and numerically. These results were employed to evaluate the rotational-vibrational partition function and other thermodynamic properties for the screened Kratzer-Hellmann potential. The results obtained have been graphically discussed. Also, the normalized eigenfunction has been used to calculate some information-theoretic measures including Shannon entropy and Fisher information for low lying states in both position and momentum spaces numerically. The Shannon entropy results obtained agreed with the Bialynicki-Birula and Mycielski inequality, while the Fisher information results obtained agreed with the Stam, Crammer-Rao inequality. Also, an alternating increasing and decreasing localization across the screening parameter for both eigenstates were observed.

scholarly journals Approximate solutions of the Schrödinger equation with Hulthén-Hellmann Potentials for a Quarkonium system

2021 ◽  
Vol 67 (3 May-Jun) ◽  
pp. 482
Author(s):  
I. O. Akpan ◽  
E. P. Inyang ◽  
E. P Inyang ◽  
E. S. William
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Yukawa Potential ◽  
Laguerre Polynomials ◽  
Approximate Solutions ◽  
Heavy Mesons ◽  
Special Cases ◽  
Radial Schrödinger Equation ◽  
Hellmann Potential ◽  
Uvarov Method

Hulthén plus Hellmann potentials are adopted as the quark-antiquark interaction potential for studying the mass spectra of heavy mesons. We solved the radial Schrödinger equation analytically using the Nikiforov-Uvarov method. The energy eigenvalues and corresponding wave function in terms of Laguerre polynomials were obtained. The present results are applied for calculating the mass of heavy mesons such as charmonium and bottomonium. Four special cases were considered when some of the potential parameters were set to zero, resulting into Hellmann potential, Yukawa potential, Coulomb potential, and Hulthén potential, respectively. The present potential provides satisfying results in comparison with experimental data and the work of other researchers.

scholarly journals Solusi Persamaan Schrödinger untuk Potensial Hulthen + Non-Sentral Poschl-Teller dengan Menggunakan Metode Nikiforov-Uvarov

2016 ◽  
Vol 3 (02) ◽  
pp. 169
Author(s):  
Nani Sunarmi ◽  
Suparmi S ◽  
Cari C
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Jacobi Polynomials ◽  
Energy Levels ◽  
Hulthén Potential ◽  
Central Potential ◽  
Hulthen Potential ◽  
Hypergeometric Type ◽  
Angular Equation ◽  
Uvarov Method

<span>The Schrödinger equation for Hulthen potential plus Poschl-Teller Non-Central potential is <span>solved analytically using Nikiforov-Uvarov method. The radial equation and angular equation <span>are obtained through the variable separation. The solving of Schrödinger equation with <span>Nikivorov-Uvarov method (NU) has been done by reducing the two order differensial equation <span>to be the two order differential equation Hypergeometric type through substitution of <span>appropriate variables. The energy levels obtained is a closed function while the wave functions <span>(radial and angular part) are expressed in the form of Jacobi polynomials. The Poschl-Teller <span>Non-Central potential causes the orbital quantum number increased and the energy of the <span>Hulthen potential is increasing positively.</span></span></span></span></span></span></span></span><br /></span>

scholarly journals Bound State Solutions of the Hua Potential within the Framework of Two Approximations Scheme

2021 ◽  
Vol 3 (3) ◽  
pp. 38-41
Author(s):  
E. B. Ettah ◽  
P. O. Ushie ◽  
C. M. Ekpo
Keyword(s):  
Wave Function ◽  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Energy Equation ◽  
Bound State ◽  
S Wave ◽  
Angular Momenta ◽  
Special Cases ◽  
Uvarov Method

In this paper, we solve analytically the Schrodinger equation for s-wave and arbitrary angular momenta with the Hua potential is investigated respectively. The wave function as well as energy equation are obtained in an exact analytical manner via the Nikiforov Uvarov method using two approximations scheme. Some special cases of this potentials are also studied.

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