Qom University of Technology
Mathematics and Computational Sciences
2717-2708
1
3
2021
05
01
Approximate solutions of Schrodinger equation in D Dimensions with the modified Mobius square plus Hulthen potential
1
15
EN
Chibueze
Paul
Onyenegecha
0000-0002-7287-4650
Federal University of Technology, Owerri
chibueze.onyenegecha@futo.edu.ng
Udoka
M
Ukewuihe
Department of Physics, Faculty of Sciences, Federal University of Technology Owerri, Nigeria.
ukewuiheudoka@futo.edu.ng
Solomon
C
Udensi
Department of Physics, Faculty of Sciences, Federal University of Technology Owerri, Nigeria
udensisolomon@yahoo.com
Cecily
O
Nwokocha
Physics, Faculty of Sciences, Alvan Ikoku Federal College of Education Owerri, Nigeria.
cecily.nwokocha@alvanikoku.edu.ng
Jennifer
C
Okereke
Department of Physics, Faculty of Sciences, Federal University of Technology Owerri, Nigeria
jennyokereke95@gmail.com
Ifeanyi
J
Njoku
Department of Physics, Faculty of Sciences, Federal University of Technology Owerri, Nigeria.
ifeanyinjoku72@gmail.com
Anthony
C
Iloanya
Department of Physics, Faculty of Sciences, Federal University of Technology Owerri, Nigeria
anthony.iloanya@futo.edu.ng
10.30511/mcs.2021.527027.1020
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.
Schrodinger equation,modified Mobius square plus Hulthen potential,Nikiforov Uvarov method
http://mcs.qut.ac.ir/article_243930.html
http://mcs.qut.ac.ir/article_243930_9a0d32e8a75faa9830c6f6491f91ac9c.pdf
Qom University of Technology
Mathematics and Computational Sciences
2717-2708
1
3
2021
05
01
Computational method for determining the bound state oscillator frequency
16
22
EN
Arezu
Jahanshir
1-Department of physics, Kazakh National University
2-Department of physics and engineering sciences, Buein Zahra Technical University
aresuj@gmail.com
Anna
Tarasenka
Department of physics, Kazakh National University, Farabi ave., 050040, Almaty, Kazakhstan
annatarosenko@gmail.com
10.30511/mcs.2021.526310.1018
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.
Bound states,Mass spectrum,Hypernuclei,Oscillator frequency, Wick ordering
http://mcs.qut.ac.ir/article_243931.html
http://mcs.qut.ac.ir/article_243931_a5512444089eaf121cbe8a80b23b5f1c.pdf
Qom University of Technology
Mathematics and Computational Sciences
2717-2708
1
3
2021
05
01
Numerical solution of 3-feather rose coefficient in bivariate Schrodinger equation by rectangular FEM
23
38
EN
Mehrzad
Ghorbani
Department of mathematics, Qom University of Technology
mehrzadghorbany@gimail.com
Mitra
Moeini
Department of Mathematics, Roudehen Branch, Islamic Azad University of Tehran, Roudehen, Iran
moeini@riau.ac.ir
Malihe
Jamie
Department of Mathematics, Qom University of Technology (QUT), Qom, Iran
mj7721004@gmail.com
10.30511/mcs.2021.526850.1019
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.
Rectangular and bilinear finite elements,Schrodinger equation,3 feather rose form potential,Variable Schrodinger coefficient,Galerkin method
http://mcs.qut.ac.ir/article_243932.html
http://mcs.qut.ac.ir/article_243932_71ca7297e2e5c004ff6103dab8f26738.pdf
Qom University of Technology
Mathematics and Computational Sciences
2717-2708
1
3
2021
05
01
A dynamical approach to quasi analytic type problems
39
43
EN
Ali
Taghavi
0000-0002-8063-4235
taghavi@qut.ac.ir
10.30511/mcs.2021.527415.1021
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.
Quasi analytic functions,Gronwal inequality,Differential operators
http://mcs.qut.ac.ir/article_243944.html
http://mcs.qut.ac.ir/article_243944_f6de8992dfe8c31e78882b44f157628b.pdf
Qom University of Technology
Mathematics and Computational Sciences
2717-2708
1
3
2021
05
01
Multiplicity of solutions for nonlinear systems with two-point BVP
44
49
EN
Robabeh
Sahandi
Department of Mathematics. Islamic Azad University. TEHRAN. Iran
sahandi_1352@yahoo.com
10.30511/mcs.2021.521223.1014
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.
positive solution,Non-linear equation,p-Laplacian equation
http://mcs.qut.ac.ir/article_243945.html
http://mcs.qut.ac.ir/article_243945_a33ab3fca11188d0fe80a3578b0ff458.pdf
Qom University of Technology
Mathematics and Computational Sciences
2717-2708
1
3
2021
05
01
The review on elliptic curves as cryptographic pairing groups
50
59
EN
Elaheh
Khamseh
Department of Mathematics, Islamic Azad university, Shahr-e-Qods Branch, Tehran, Iran.
elahehkhamseh@gmail.com
10.30511/mcs.2021.525072.1017
Elliptic curve is a set of two variable points on polynomials of degree 3 over a field acted<br />by an addition operation that forms a group structure. The motivation of this study is that the<br />mathematics behind that elliptic curve to the applicability within a cryptosystem. Nowadays, pair-<br />ings bilinear maps on elliptic curve are popular to construct cryptographic protocol pairings help to<br />transform a discrete logarithm problem on an elliptic curve to the discrete logarithm problem in nite<br />elds. The purpose of this paper is to introduce elliptic curve, bilinear pairings on elliptic curves as<br />based on pairing cryptography. Also this investigation serves as a basis in guiding anyone interested<br />to understand one of the applications of group theory in cryptosystem.
Elliptic curve,Bilinear map,Pairing-based cryptography
http://mcs.qut.ac.ir/article_243991.html
http://mcs.qut.ac.ir/article_243991_1e277afb83c96aa2947662f9ccf03fed.pdf