ORIGINAL_ARTICLE
Approximate solutions of Schrodinger equation in D Dimensions with the modified Mobius square plus Hulthen potential
The study presents the approximate solutions of Schrodinger equation in D-dimensions with the modified Mobius square plus Hulthen potential. The energy eigenvalues and corresponding wave functions are obtained using the Nikiforov-Uvarov (NU) method. Special cases of this potential are reported. Numerical results are also computed.
http://mcs.qut.ac.ir/article_243930_9a0d32e8a75faa9830c6f6491f91ac9c.pdf
2021-05-01
1
15
10.30511/mcs.2021.527027.1020
Schrodinger equation
modified Mobius square plus Hulthen potential
Nikiforov Uvarov method
Chibueze
Onyenegecha
chibueze.onyenegecha@futo.edu.ng
1
Federal University of Technology, Owerri
LEAD_AUTHOR
Udoka
Ukewuihe
ukewuiheudoka@futo.edu.ng
2
Department of Physics, Faculty of Sciences, Federal University of Technology Owerri, Nigeria.
AUTHOR
Solomon
Udensi
udensisolomon@yahoo.com
3
Department of Physics, Faculty of Sciences, Federal University of Technology Owerri, Nigeria
AUTHOR
Cecily
Nwokocha
cecily.nwokocha@alvanikoku.edu.ng
4
Physics, Faculty of Sciences, Alvan Ikoku Federal College of Education Owerri, Nigeria.
AUTHOR
Jennifer
Okereke
jennyokereke95@gmail.com
5
Department of Physics, Faculty of Sciences, Federal University of Technology Owerri, Nigeria
AUTHOR
Ifeanyi
Njoku
ifeanyinjoku72@gmail.com
6
Department of Physics, Faculty of Sciences, Federal University of Technology Owerri, Nigeria.
AUTHOR
Anthony
Iloanya
anthony.iloanya@futo.edu.ng
7
Department of Physics, Faculty of Sciences, Federal University of Technology Owerri, Nigeria
AUTHOR
ORIGINAL_ARTICLE
Computational method for determining the bound state oscillator frequency
Creation and annihilation operator’s method that is associated with the system was proposed to determine the oscillator frequency of the bound system which consists of two or more particles, as a function of the orbital quantum number, which is the main parameter to describe the interaction between particles that create new bounding systems like charmonium, hyperatoms, pentaquark, etc. Using quantum field theory and quantum electrodynamics methods, we are found that the creation of a bound state occurs if the coupling constant be small, and masses of gauge bosons also be very small in comparison with masses of constituent particles. The modified Hamiltonian (Schrödinger equation) based on the oscillator frequency parameter describes the bound state characteristic such as the mass spectrum, the constituent mass of particles, and binding energy. The method is typically used to solve the relativistic or nonrelativistic Schrödinger equation and to calculate the binding energy or energy eigenvalue of the system for a wide class of potentials allowing the existence of a bound state. The main purpose of this study is to investigate the relationship of the particle binding energy with the oscillator frequency of the Coulomb type potential (or other potentials) bound systems with the nonrelativistic Schrödinger equation.
http://mcs.qut.ac.ir/article_243931_a5512444089eaf121cbe8a80b23b5f1c.pdf
2021-05-01
16
22
10.30511/mcs.2021.526310.1018
Bound states
Mass spectrum
Hypernuclei
Oscillator frequency, Wick ordering
Arezu
Jahanshir
aresuj@gmail.com
1
1-Department of physics, Kazakh National University 2-Department of physics and engineering sciences, Buein Zahra Technical University
LEAD_AUTHOR
Anna
Tarasenka
annatarosenko@gmail.com
2
Department of physics, Kazakh National University, Farabi ave., 050040, Almaty, Kazakhstan
AUTHOR
ORIGINAL_ARTICLE
Numerical solution of 3-feather rose coefficient in bivariate Schrodinger equation by rectangular FEM
In this work, we approximate a typical model form of bivariate static Schrödinger Equation by an appropriate approach based on bilinear finite element method (FEM), then we obtain the results of the PDE on a new type 3 feather rose coefficient function in a rectangular domain i. e., eigenfunctions or solutions. In fact, we search for influence of 3-feather rose and pass by a weak singularity barrier in the origin. We also obtain approximate eigenvalues and final stiffness matrix elements. This paper is accompanied by examples of the novel Schrodinger’s model.
http://mcs.qut.ac.ir/article_243932_71ca7297e2e5c004ff6103dab8f26738.pdf
2021-05-01
23
38
10.30511/mcs.2021.526850.1019
Rectangular and bilinear finite elements
Schrodinger equation
3 feather rose form potential
Variable Schrodinger coefficient
Galerkin method
Mehrzad
Ghorbani
mehrzadghorbany@gimail.com
1
Department of mathematics, Qom University of Technology
LEAD_AUTHOR
Mitra
Moeini
moeini@riau.ac.ir
2
Department of Mathematics, Roudehen Branch, Islamic Azad University of Tehran, Roudehen, Iran
AUTHOR
Malihe
Jamie
mj7721004@gmail.com
3
Department of Mathematics, Qom University of Technology (QUT), Qom, Iran
AUTHOR
ORIGINAL_ARTICLE
A dynamical approach to quasi analytic type problems
In this paper we give an alternative proof for a vanishing result about flat functions proved in G.Stoica, "When must a flat function be identically zero", The American Mathematical Monthly 125(7)648-649, 2018. With a dynamical approach we give a generalization of this result to multidimensional variables.
http://mcs.qut.ac.ir/article_243944_f6de8992dfe8c31e78882b44f157628b.pdf
2021-05-01
39
43
10.30511/mcs.2021.527415.1021
Quasi analytic functions
Gronwal inequality
Differential operators
Ali
Taghavi
taghavi@qut.ac.ir
1
LEAD_AUTHOR
ORIGINAL_ARTICLE
Multiplicity of solutions for nonlinear systems with two-point BVP
In this paper, we investigate the existence of solutions to a class of non-linear system. Using some theorems, we prove some existence results for this system.
http://mcs.qut.ac.ir/article_243945_a33ab3fca11188d0fe80a3578b0ff458.pdf
2021-05-01
44
49
10.30511/mcs.2021.521223.1014
positive solution
Non-linear equation
p-Laplacian equation
Robabeh
Sahandi
sahandi_1352@yahoo.com
1
Department of Mathematics. Islamic Azad University. TEHRAN. Iran
LEAD_AUTHOR
ORIGINAL_ARTICLE
The review on elliptic curves as cryptographic pairing groups
Elliptic curve is a set of two variable points on polynomials of degree 3 over a field actedby an addition operation that forms a group structure. The motivation of this study is that themathematics behind that elliptic curve to the applicability within a cryptosystem. Nowadays, pair-ings bilinear maps on elliptic curve are popular to construct cryptographic protocol pairings help totransform a discrete logarithm problem on an elliptic curve to the discrete logarithm problem in niteelds. The purpose of this paper is to introduce elliptic curve, bilinear pairings on elliptic curves asbased on pairing cryptography. Also this investigation serves as a basis in guiding anyone interestedto understand one of the applications of group theory in cryptosystem.
http://mcs.qut.ac.ir/article_243991_1e277afb83c96aa2947662f9ccf03fed.pdf
2021-05-01
50
59
10.30511/mcs.2021.525072.1017
Elliptic curve
Bilinear map
Pairing-based cryptography
Elaheh
Khamseh
elahehkhamseh@gmail.com
1
Department of Mathematics, Islamic Azad university, Shahr-e-Qods Branch, Tehran, Iran.
LEAD_AUTHOR