The effects of q-deformed Rosen–Morse potential on the behaviour of interacting BEC systems

A Kadja, Farid Benamira, Larbi Guechi

Dennis Bonatsos A, C. Daskaloyannis

Khaled I. K. Alemgadmi, Suparmi Suparmi, C. Cari +1 more

The approximate analytical solution of Schrodinger equation for Q-Deformed Rosen-Morse potential was investigated using Supersymmetry Quantum Mechanics (SUSY QM) method. The approximate bound state energy is given in the closed form and the corresponding approximate wave function for arbitrary l-state given for ground state wave function. The first excited state obtained using upper operator and ground state wave function. The special case is given for the ground state in various number of q. The existence of Rosen-Morse potential reduce energy spectra of system. The larger value of q, the smaller energy spectra of system.

Alfred Hammond, L. Lavoine, Alessio Recati +2 more

F. Kh. Abdullaev, R. M. Galimzyanov, Akbar M. Shermakhmatov

Khaled I. K. Alemgadmi

ABSTRACTThe objectives of this research are to determine energy spectra and wavefunction of schrodinger equation for q-deformed Rosen Morse plus non centraltrigonometric q-deformed Posch Teller potential and hyperbolic q-deformed Scarfplus Non central q-deformed Rosen Morse Trigonometric Potential using SUSY QMApproach. Actually, SUSY QM propose that the boson can change into fermion viceversa. However, the evidence of this phenomena does not exist in this world. Wittenproposed that SUSY must be broken. This SUSY theoretically can be solve most ofproblems in Quantum Mechanics. After the energy spectra and wave functionfounded, we will plot a graph simulation to understand the effect of potentials inenergy spectra and wave function of system.Keywords: Schrodinger Equation, q-Deformed Non-Central Shape InvariantPotential, and Supersymmetry of Quantum MechanicsABSTRAKTujuan dari penelitian ini adalah untuk menentukan spektrum energi danfungsi gelombang persamaan Schrodinger untuk q-deformasi Rosen Morse ditambahnon sentral trigonometri q-deformasi Poschl Teller potensial dan hiperbolik q-cacatScarf ditambah Non pusat q-deformasi Rosen Morse trigonometri Potensimenggunakan SUSY Pendekatan QM. Sebenarnya SUSY QM mengusulkan bahwaboson bisa berubah menjadi fermion sebaliknya. Namun, bukti fenomena ini tidakada di dunia ini. Witten mengusulkan agar SUSY harus rusak. SUSY ini secarateoritis dapat dipecahkan sebagian besar masalah di Kuantum Mekanika. Setelahspektrum energi dan gelombang fungsi didirikan, kita akan plot simulasi grafik untukmemahami efek dari potensi dalam spektrum energi dan fungsi gelombang sistem.Kata kunci: Schrodinger Equation, q-Deformasi non-Central Shape InvariantPotensial, dan Supersymmetri of Kuantum Mechanics