scholarly journals Hellmann Potential in Spinless Salpeter Equation with Potential Barrier within the Framework of Nikiforov-Uvarov method

2017 ◽  
Vol 71 ◽  
pp. 53
Author(s):  
Akaninyene Daniel Antia
Keyword(s):  
Potential Barrier ◽  
Nuclear Physics ◽  
Approximation Scheme ◽  
Numerical Data ◽  
Molecular Physics ◽  
Molecular Chemistry ◽  
Energy Eigenvalues ◽  
Hellmann Potential ◽  
Atomic And Molecular Physics ◽  
Uvarov Method

<p>In this paper, we have solved the spinless Salpeter equation (SSE) with Hellmann potential under the framework of NIkiforov-Uvarov (NU) method. The energy eigenvalues and corresponding wave functions for this system express in terms of the Jacobi polynomial are also obtained. With the help of approximation scheme the potential barrier has been evaluated. The results obtained in this work would have many applications in nuclear physics, chemical physics, atomic and molecular physics, molecular chemistry and other related areas as the results under limiting cases could be used to study the binding energy and interaction of some diatomic molecules. As a guide to interested readers, we have provided numerical data which discuss the energy spectra for this system.</p><p> </p>

scholarly journals Relativistic Study of the Spinless Salpeter Equation with a Modified Hylleraas Potential

2019 ◽  
Vol 64 (1) ◽  
pp. 27 ◽  
Author(s):  
A. D. Antia ◽  
I. B. Okon ◽  
E. B. Umoren ◽  
C. N. Isonguyo
Keyword(s):  
Nuclear Physics ◽  
Approximation Scheme ◽  
Numerical Data ◽  
Wave Functions ◽  
Energy Spectra ◽  
Chemical Physics ◽  
Molecular Chemistry ◽  
Energy Eigenvalues ◽  
Uvarov Method ◽  
Potential Parameters

We have solved the Spinless Salpeter Equation (SSE) with a modified Hylleraas potential within the Nikiforov–Uvarov method. The energy eigenvalues and the corresponding wave functions for this system expressed in terms of the Jacobi polynomial are obtained. With the help of an approximation scheme, the potential barrier has been evaluated. The results obtained can be applied in nuclear physics, chemical physics, atomic physics, molecular chemistry, and other related areas, for example, can be used to study the binding energy and interaction of some diatomic molecules. By adjusting some potential parameters, our potential reduces to the Rosen–Morse and Hulthen potentials. We have present also the numerical data on the energy spectra for this system.

Physics research in Israel—A preliminary bibliometric analysis

1984 ◽  
Vol 8 (5) ◽  
pp. 185-195 ◽  
Author(s):  
Subbiah Arunachalam ◽  
M.K. Dhirendra Rao ◽  
Praveen K. Shrivastava
Keyword(s):  
Particle Physics ◽  
Nuclear Physics ◽  
Condensed Matter ◽  
The United States ◽  
High Impact ◽  
Impact Factors ◽  
Condensed Matter Physics ◽  
Molecular Physics ◽  
Atomic And Molecular Physics ◽  
The Impact

The impact of physics research carried out in Israel on the international literature is assessed from data on publication and citation counts. We have considered in this analysis all papers published from Israel and covered under six of the ten major sections of INSPEC's Physics Abstracts, January-June 1977 (covering condensed matter physics, nuclear and particle physics, atomic and molecular physics and biophysics and physical chemistry) as well as citations to these papers as seen from five annual editions of Science Citation Index, 1977-1981. An analysis of these data permits us to identify: (i) areas of research in which Israel is strong, (ii) highly cited publications, (iii) the distribution of citations over the years, and (iv) how quickly the papers get cited. Israel accounts for less than 1% of the world's physics publications, but undeniably physics done in Israel is an integral part of the mainstream of world physics. Israeli physicists place almost all their work in foreign journals, most of them published from the United States, the Nether lands and the United Kingdom. Many of these journals have a good standing as seen from their high impact factors and immediacy indices. Nearly all papers in our sample have originated in eight institutions, indicating that Israel is free from the common Third World malady of spreading the butter of R&D budget too thinly. Overall, Israeli physics appears to be productive in condensed matter physics, nuclear physics and atomic and molecular physics. However, chemical physics tops the list if one considers both the number of papers published and the cognitive impact these papers have had. Two areas where Israel did not publish much and yet had a few publica tions of high impact are: (i) special theories, interaction models and particle systematics, and (ii) biophysics. Surprisingly for a nation interested in both the military and civilian applications of nuclear energy, Israel's publications in nuclear physics are not as well cited as her publications in many other subfields of physics.

scholarly journals Pseudospin and Spin Symmetric Solutions of the Dirac Equation: Hellmann Potential,Wei–Hua Potential, Varshni Potential

2014 ◽  
Vol 69 (3-4) ◽  
pp. 163-172 ◽  
Author(s):  
Altuğ Arda ◽  
Ramazan Sever
Keyword(s):  
Dirac Equation ◽  
Analytical Solutions ◽  
Energy Eigenvalue ◽  
Wave Functions ◽  
K Value ◽  
Energy Eigenvalues ◽  
Approximate Analytical Solutions ◽  
Hellmann Potential ◽  
Uvarov Method ◽  
Spinor Wave

Approximate analytical solutions of the Dirac equation are obtained for the Hellmann potential, the Wei-Hua potential, and the Varshni potential with any k-value for the cases having the Dirac equation pseudospin and spin symmetries. Closed forms of the energy eigenvalue equations and the spinor wave functions are obtained by using the Nikiforov-Uvarov method and some tables are given to see the dependence of the energy eigenvalues on different quantum number pairs (n;κ).

scholarly journals APPROXIMATE ℓ-STATE SOLUTIONS TO THE KLEIN–GORDON EQUATION FOR MODIFIED WOODS–SAXON POTENTIAL WITH POSITION DEPENDENT MASS

2009 ◽  
Vol 24 (20n21) ◽  
pp. 3985-3994 ◽  
Author(s):  
ALTUĞ ARDA ◽  
RAMAZAN SEVER
Keyword(s):  
Approximation Scheme ◽  
Gordon Equation ◽  
Saxon Potential ◽  
Radial Part ◽  
Potential Term ◽  
Energy Eigenvalues ◽  
Klein Gordon ◽  
Uvarov Method ◽  
Dependent Mass ◽  
Klein Gordon Equation

The radial part of the Klein–Gordon equation for the generalized Woods–Saxon potential is solved by using the Nikiforov–Uvarov method with spatially dependent mass within the new approximation scheme to the centrifugal potential term. The energy eigenvalues and corresponding normalized eigenfunctions are computed. The solutions in the case of constant mass are also obtained to check out the consistency of our new approximation scheme.

scholarly journals Special Issue on Atomic and Ionic Collisions with Formation of Quasimolecules

Atoms ◽  
2018 ◽  
Vol 7 (1) ◽  
pp. 3
Author(s):  
Vladimir Srećković ◽  
Milan Dimitrijević ◽  
Nikolai Bezuglov
Keyword(s):  
Nuclear Physics ◽  
Special Issue ◽  
Laboratory Plasma ◽  
Molecular Physics ◽  
Molecular Collision ◽  
Collision Processes ◽  
Plasma Research ◽  
Community Of Researchers ◽  
Atomic And Molecular Physics ◽  
Broad Community

Many areas of science today, like atomic and molecular physics, nuclear physics, astrophysics, laboratory plasma research etc., depend on data for ionic, atomic, and molecular collision processes. The purpose of the Special Issue “Atomic and Ionic Collisions with Formation of Quasimolecules” in Atoms is to engage a broad community of researchers to consolidate knowledge, make new discoveries, and to continue the exchange of ideas.

Approximate Ro-Vibrational Spectrum of the Modified Rosen–Morse Molecular Potential Using the Nikiforov–Uvarov Method

2013 ◽  
Vol 68 (6-7) ◽  
pp. 427-432 ◽  
Author(s):  
Ali Akbar Rajabi ◽  
Majid Hamzavi
Keyword(s):  
Vibrational Spectrum ◽  
Schrodinger Equation ◽  
Approximation Scheme ◽  
Centrifugal Term ◽  
Energy Eigenvalues ◽  
Molecular Potential ◽  
Radial Schrödinger Equation ◽  
Uvarov Method ◽  
Nu Method ◽  
Good Agreement

By using the Nikiforov-Uvarov (NU) method and a new approximation scheme to the centrifugal term, we obtained the solutions of the radial Schrödinger equation (SE) for the modified Rosen- Morse (mRM) potential. In this paper, we get the approximate energy eigenvalues and show that the results are in good agreement with those obtained before. Eigenfunctions are also presented for completeness.

scholarly journals Eigensolutions of the N-dimensional Schrödinger equation interacting with Varshni-Hulthén potential model

2021 ◽  
Vol 67 (2 Mar-Apr) ◽  
pp. 193
Author(s):  
E. P. Inyang ◽  
E. S. William ◽  
J. A. Obu
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Approximation Scheme ◽  
Jacobi Polynomials ◽  
Hulthén Potential ◽  
Centrifugal Barrier ◽  
Energy Eigenvalues ◽  
Hulthen Potential ◽  
Special Cases ◽  
Uvarov Method

Analytical solutions of the N-dimensional Schrödinger equation for the newly proposed Varshni-Hulthén potential are obtained within the framework of Nikiforov-Uvarov method by using Greene-Aldrich approximation scheme to the centrifugal barrier. The numerical energy eigenvalues and the corresponding normalized eigenfunctions are obtained in terms of Jacobi polynomials. Special cases of the potential are equally studied and their numerical energy eigenvalues are in agreement with those obtained previously with other methods. However, the behavior of the energy for the ground state and several excited states is illustrated graphically.

John Henry Carver 1926 - 2004

2011 ◽  
Vol 22 (1) ◽  
pp. 53
Author(s):  
R. W. Crompton ◽  
G. D. Dracoulis ◽  
B. R. Lewis ◽  
K. G. McCracken ◽  
J. S. Williams
Keyword(s):  
Nuclear Physics ◽  
Outer Space ◽  
Small Satellite ◽  
Physical Sciences ◽  
Molecular Physics ◽  
Atmospheric Physics ◽  
Research School ◽  
Scientific Advisory ◽  
Atomic And Molecular Physics ◽  
The University

John Henry Carver made distinguished contributions to national and international physics, not only through his research in nuclear physics, atomic and molecular physics, and planetary atmospheric physics, but also as a scientific administrator. His years as the Elder Professor of Physics at the University of Adelaide saw him enter the field of rocket-based atmospheric physics by forging strong links with the nearby Weapons Research Establishment through which he had access to rockets to fly equipment developed in his laboratory and, eventually, to launch a small satellite developed and built by his team. This led to his appointment to the Scientific and Technical Subcommittee of the United Nations Committee on the Peaceful Uses of Outer Space, which he chaired for the record term of twenty-five years. As an academic administrator he was equally distinguished, serving on numerous boards and committees of the University of Adelaide before moving to Canberra as Director of the Australian National University's Research School of Physical Sciences, a position he held for fifteen years. In addition, he served with distinction on numerous national and international scientific advisory bodies. He was a passionate advocate for his School and his leadership will be long remembered.

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