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Solusi Persamaan Schrödinger untuk Potensial Hulthen + Non-Sentral Poschl-Teller dengan Menggunakan Metode Nikiforov-Uvarov Nani Sunarmi; Suparmi S; Cari C
INDONESIAN JOURNAL OF APPLIED PHYSICS Vol 3, No 02 (2013): October
Publisher : Department of Physics, Sebelas Maret University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.13057/ijap.v3i02.1266

Abstract

The Schrödinger equation for Hulthen potential plus Poschl-Teller Non-Central potential is solved analytically using Nikiforov-Uvarov method. The radial equation and angular equation are obtained through the variable separation. The solving of Schrödinger equation with Nikivorov-Uvarov method (NU) has been done by reducing the two order differensial equation to be the two order differential equation Hypergeometric type through substitution of appropriate variables. The energy levels obtained is a closed function while the wave functions (radial and angular part) are expressed in the form of Jacobi polynomials. The Poschl-Teller Non-Central potential causes the orbital quantum number increased and the energy of the Hulthen potential is increasing positively.
Solution of The Schrödinger Equation for Trigonometric Scarf Plus Poschl-Teller Non-Central Potential Using Supersymmetry Quantum Mechanics Cari C; Suparmi S; Antomi Saregar
INDONESIAN JOURNAL OF APPLIED PHYSICS Vol 4, No 01 (2014): April
Publisher : Department of Physics, Sebelas Maret University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.13057/ijap.v4i01.1156

Abstract

In this paper, we show that the exact energy eigenvalues and eigen functions of the Schrödinger equation for charged particles moving in certain class of noncentral potentials can be easily calculated analytically in a simple and elegant manner by using Supersymmetric method (SUSYQM). We discuss the trigonometric Scarf plus Poschl-Teller systems. Then, by operating the lowering operator we get the ground state wave function, and the excited state wave functions are obtained by operating raising operator repeatedly. The energy eigenvalue is expressed in the closed form obtained using the shape invariant properties. The results are in exact agreement with other methods.
Analisis Energi Osilator Harmonik Menggunakan Metode Path Integral Hypergeometry dan Operator Fuzi Marati Sholihah; Suparmi S; Viska Inda Variani
INDONESIAN JOURNAL OF APPLIED PHYSICS Vol 2, No 02 (2012): October
Publisher : Department of Physics, Sebelas Maret University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.13057/ijap.v2i02.1280

Abstract

Solution of the harmonic oscillator equation has a goal to get the energy levels of particles moving harmonic. The energy spectrums of one dimensional harmonic oscillator are analyzed by 3 methods: path integral, hypergeometry and operator. Analysis of the energy spectrum by path integral method is examined with Schrodinger equation. Analysis of the energy spectrum by operator method is examined by Hamiltonian in operator. Analysis of harmonic oscillator energy by 3 methods: path integral, hypergeometry and operator are getting same results ???? = ℏ???? (???? + 1 2)