scholarly journals Solutions of the Schrödinger equation with the harmonic oscillator potential (HOP) in cylindrical basis

2018 ◽  
Vol 2 (3) ◽  
pp. 187-191
Author(s):  
Akaninyene D Antia ◽  
Christian C Eze ◽  
Louis E Akpabio
Keyword(s):  
Schrödinger Equation ◽  
Harmonic Oscillator ◽  
Schrodinger Equation ◽  
Oscillator Potential ◽  
Harmonic Oscillator Potential

scholarly journals Approximate Solution of Schrödinger Equation with Pseudo-Gaussian Potential Viewed as a Perturbation

2015 ◽  
Vol 58 (1) ◽  
pp. 7-13
Author(s):  
Theodor-Felix Iacob ◽  
Marina Lute ◽  
Felix Iacob
Keyword(s):  
Approximate Solution ◽  
Power Series ◽  
Schrödinger Equation ◽  
Harmonic Oscillator ◽  
Schrodinger Equation ◽  
Energy Levels ◽  
Additional Term ◽  
Oscillator Potential ◽  
Harmonic Oscillator Potential ◽  
Gaussian Potential

Abstract We consider the Schrödinger equation with pseudo-Gaussian potential and point out that it is basically made up by a term representing the harmonic oscillator potential and an additional term, which is actually a power series that converges rapidly. Based on this observation the system can be considered as a perturbation of harmonic oscillator. The perturbation method is used to approximate the energy levels of pseudo- Gaussian oscillator. The results are compared with those obtained in the analytic and numeric case.

scholarly journals Q-Deformed Morse and Oscillator Potential

2017 ◽  
Vol 2017 ◽  
pp. 1-4 ◽  
Author(s):  
H. Hassanabadi ◽  
W. S. Chung ◽  
S. Zare ◽  
S. B. Bhardwaj
Keyword(s):  
Schrödinger Equation ◽  
Harmonic Oscillator ◽  
Schrodinger Equation ◽  
Analytic Solutions ◽  
Wave Functions ◽  
Oscillator Potential ◽  
Energy Eigenvalues

We studied the q-deformed Morse and harmonic oscillator systems with appropriate canonical commutation algebra. The analytic solutions for eigenfunctions and energy eigenvalues are worked out using time-independent Schrödinger equation and it is also noted that these wave functions are sensitive to variation in the parameters involved.

scholarly journals Exact Solutions of the Mass-Dependent Klein-Gordon Equation with the Vector Quark-Antiquark Interaction and Harmonic Oscillator Potential

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
M. K. Bahar ◽  
F. Yasuk
Keyword(s):  
Harmonic Oscillator ◽  
Exact Solutions ◽  
Gordon Equation ◽  
Oscillator Potential ◽  
Ansatz Method ◽  
Harmonic Oscillator Potential ◽  
Klein Gordon ◽  
Dependent Mass ◽  
Mass Dependent ◽  
Klein Gordon Equation

Using the asymptotic iteration and wave function ansatz method, we present exact solutions of the Klein-Gordon equation for the quark-antiquark interaction and harmonic oscillator potential in the case of the position-dependent mass.

Sign in / Sign up

Export Citation Format

Share Document