A Suparmi

Construction of solvable potential partner of Generalized Hylleraas potential in one-dimensional Schrodinger system

The higher order potential partner of generalized Hylleraas potential was constructed by using Supersymmetry potential partner equation. The superpotential of shape invariant system was determined from the ground state wave function by applying Supersymmetry operators properties. The ground state wave function and the ground state energy were determined from the solution of Schrodinger equation with generalized Hyllerras potential using Nikiforov-Uvarov method. The higher order potential partner was combination of the generalized Hylleraas potential, ground state energy, and super potential. The energy eigenvalue and energy eigen function of potential partner which was solvable potential were also determined using NU method.

Solution of Five-dimensional Schrodinger equation for Kratzer’s potential and trigonometric tangent squared potential with asymptotic iteration method (AIM)

Non-relativistic bound-energy of diatomic molecules determined by non-central potentials in five dimensional solution using AIM. Potential in five dimensional space consist of Kratzer’s potential for radial part and Tangent squared potential for angular part. By varying n r , n 1 , n 2 , n 3 , dan n 4 quantum number on CO, NO, dan I 2 diatomic molecules affect bounding energy values. It knows from its numerical data.

The Determination of the Spectrum Energy on the model of DNA-protein interactions using WKB approximation method

The spectrum energys equation for Killingback potential on the model of DNA and protein interactions was obtained using WKB approximation method. The Killingbeck potential was substituted into the general equation of WKB approximation method to determine the energy. The general equation required the value of critical turning point to complete the form equation. In this research, the general form of Killingbeck potential was causing the equation of critical turning point turn into cube equation. In this case we take the value of critical turning point only with the real value. In mathematical condition, it was satisfied with requirement Discriminant was less than or equal to 0. If D=0, it would give two values of critical turning point and if D<0, it would give three values of critical turning point. In this research we present both of those requirements to complete the general Equation of Energy.

The iterative solution of wave propagation in transverse magnetic mode for graded positive-negative

The iterative solution was used to obtain the electromagnetic wave propagation in transverse magnetic (TM) mode for a graded positive-negative refractive index. The graded graphs of negative permittivity and negative permeability were obtained in hyperbolic functions. By using hyperbolic function for permittivity and permeability in Maxwell equation and by separation variable, we obtained the electromagnetic differential equation. From the differential equation, we used the approachment using MacLaurin series to obtain the wave vector and magnetic fields equation. The distribution of the magnetic fields were given in graph visualization using Matlab software.

Solution of electromagnetic wave equation in graded interface for exponential permeability and permittivity profile

The electromagnetic wave equation in graded interface for exponential permeability and exponential permittivity profile was solved using asymptotic iteration method (AIM). In exponential function, we obtained the graded graphs of permittivity and permeability. By using exponential permeability and permittivity profile in Maxwell equation, we reduced Maxwell equation into the second orde differential equation. The second orde differential equation was reduced to AIM-type differential equation using separation variable and suitable parameter. By AIM, the wave vector and field equations were obtained. The field equations were expressed in hypergeometric function.

Schrödinger equation solution for q-deformed Scarf II potential plus Pöschl-Teller potential and trigonometric Scarf potential

The Schrodinger equation for q-deformed Scarf II potential plus Poschl-Teller potential and trigonometric Scarf potential was solved using Asymptotic Iteration Method (AIM). The combination of three potentials was substituted into the Schrodinger equation, then we separated the three-dimensional Schrodinger equation into three one-dimensional differential equation, consist of the radial part, polar part and azimuth part. The radial, polar and azimuth part differential equations were solved by reducing them into the hypergeometric intermediaries equation, to further we resolved it using AIM. By using AIM, the energy equation and the variable separation constant equations, λ1 for the polar part and λ2 for the azimuth part were obtained, where both are interrelated between the quantum numbers. The value of energies were calculated numerically using Matlab software, where the increasing in the radial quantum number nr causes increase and decrease in the energy. Radial, polar and azimuth wave functions were defined as hypergeometric functions and were visualized using Matlab software. The results show that the disturbance of Poschl-Teller potential and trigonometric Scarf potential give effect in probability

Asymptotic iteration method for analytical solution of Klein-Gordon equation for trigonometric Pӧschl-Teller potential in D-dimensions

Klein-Gordon equation for Trigonometric Poschl-Teller Potential in D-dimensions was obtained within framework of a centrifugal term approximation. Asymptotic iteration method was used to obtain the relativistic energy spectrum and wave functions. The value of relativistic energy was calculated numerically and the results have shown that in higher dimension the energy level is increased with positive energy states. The wave functions were expressed in hypergeometric term.

The Shannon entropy information for mixed Manning Rosen potential in D-dimensional Schrodinger equation

D dimensional Schrodinger equation for the mixed Manning Rosen potential was investigated using supersymmetric quantum mechanics. We obtained the energy eigenvalues from radial part solution and wavefunctions in radial and angular parts solution. From the lowest radial wavefunctions, we evaluated the Shannon entropy information using Matlab software. Based on the entropy densities demonstrated graphically, we obtained that the wave of position information entropy density moves right when the value of potential parameter q increases, while its wave moves left with the increase of parameter α. The wave of momentum information entropy densities were expressed in graphs. We observe that its amplitude increase with increasing parameter q and α