Any$$\mathbf {\, }l$$-State Energy of the Spinless Salpeter Equation Under the Cornell Potential by the WKB Approximation Method: An Application to Mass Spectra of Mesons

2021 ◽  
Vol 63 (1) ◽  
Author(s):  
E. Omugbe ◽  
O. E. Osafile ◽  
I. B. Okon ◽  
E. P. Inyang ◽  
E. S. William ◽  
...  
Keyword(s):  
Approximation Method ◽  
Mass Spectra ◽  
State Energy ◽  
Wkb Approximation ◽  
Cornell Potential

scholarly journals Mass Spectrum of Mesons via the WKB Approximation Method

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Ekwevugbe Omugbe ◽  
Omosede E. Osafile ◽  
Michael C. Onyeaju
Keyword(s):  
Approximation Method ◽  
Mass Spectra ◽  
Turning Point ◽  
Approximation Scheme ◽  
Wkb Approximation ◽  
Quadratic Potential ◽  
Energy Eigenvalues ◽  
Type Approximation ◽  
Special Cases ◽  
Good Agreement

In this paper, we demonstrated that the multiple turning point problems within the framework of the Wentzel-Kramers-Brillouin (WKB) approximation method can be reduced to two turning point one for a nonsymmetric potential function by using an appropriate Pekeris-type approximation scheme. We solved the Schrödinger equation with the Killingbeck potential plus an inversely quadratic potential (KPIQP) function. The special cases of the modeled potential are discussed. We obtained the energy eigenvalues and the mass spectra of the heavy QQ¯ and heavy-light Qq¯ mesons systems. The results in this present work are in good agreement with the results obtained by other analytical methods and available experimental data in the literature.

Bound state solutions of the Dirac equation for the generalized Cornell potential model

2021 ◽  
Author(s):  
M. Abu-Shady ◽  
E. M. Khokha
Keyword(s):  
Dirac Equation ◽  
Mass Spectra ◽  
Potential Model ◽  
Spin Symmetry ◽  
Bound State ◽  
Energy Eigenvalues ◽  
Cornell Potential ◽  
Modified Kratzer Potential ◽  
Quadratic Potentials ◽  
Light Mesons

In this study, the bound state solutions of the Dirac equation (DE) have been determined with the generalized Cornell potential model (GCPM) under the condition of spin symmetry. The GCPM includes the Cornell potential plus a combination of the harmonic and inversely quadratic potentials. In the framework of the Nikiforov–Uvarov (NU) method, the relativistic and nonrelativistic energy eigenvalues for the GCPM have been obtained. The energies spectra of the Kratzer potential (KP) and the modified Kratzer potential (MKP) have been derived as particular cases of the GCPM. The present results have been applied to some diatomic molecules (DMs) as well as heavy and heavy-light mesons. The energy eigenvalues of the KP and MKP have been computed for several DMs, and they are fully consistent with the results found in the literature. In addition, the energy eigenvalues of the GCPM have been employed for predicting the spin-averaged mass spectra of heavy and heavy-light mesons. One can note that our predictions are in close agreement with the experimental data as well as enhanced compared to the recent studies.

scholarly journals Non-relativistic Energy Spectrum of the Deng-Fan Oscillator via the WKB Approximation Method

2020 ◽  
pp. 26-36 ◽  
Author(s):  
Ekwevugbe Omugbe
Keyword(s):  
Energy Spectrum ◽  
Approximation Method ◽  
Analytical Methods ◽  
Approximation Scheme ◽  
Wkb Approximation ◽  
Relativistic Energy ◽  
Implicit Equation ◽  
Energy Eigenvalues ◽  
Radial Schrödinger Equation ◽  
Interacting Systems

The energy spectrum of the radial Schrodinger equation with the molecular Deng Fan potential has been obtained through the WKB approximation scheme. The radial WKB solution yields a transcendental or an implicit equation. The energy eigenvalues for non-physical and real molecular interacting systems are presented. In comparison with the numerical eigenvalues obtained with MATHEMATICA 3.0 package, the WKB approximation method produces improved results over the results obtained with other analytical methods in the literature.

scholarly journals Dirac quasinormal modes of MSW black holes

2014 ◽  
Vol 29 (05) ◽  
pp. 1450019 ◽  
Author(s):  
Saneesh Sebastian ◽  
V. C. Kuriakose
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Imaginary Part ◽  
Approximation Method ◽  
Quasinormal Modes ◽  
Quasinormal Mode ◽  
Wkb Approximation

In this paper, we study the Dirac quasinormal modes of an uncharged 2+1 black hole proposed by Mandal et al. and referred to as MSW black hole. The quasinormal mode is studied using WKB approximation method. The study shows that the imaginary part of quasinormal frequencies increases indicating that the oscillations are damping and hence the black hole is stable against Dirac perturbations.

The Quantum Conditions of One Dimension Potential Well Based on WKB Approximation Method

2014 ◽  
Vol 624 ◽  
pp. 245-248 ◽  
Author(s):  
Wen Li Yu ◽  
Hui Qiu Du
Keyword(s):  
Quantum Mechanics ◽  
Approximation Method ◽  
Bound States ◽  
Wkb Approximation ◽  
One Dimension ◽  
Potential Well ◽  
Wkb Method ◽  
Potential Problems ◽  
Effective Technology ◽  
Well Models

Wenzel-Kramers-Brillouin (WKB) method being an approximation method in quantum mechanics has been applied widely. For the potential problems WKB approximation method is taken as an effective technology. With the help of the WKB approximation method the quantum conditions of bound States particle being in three different typical one dimension (1D) potential well models are derived in this paper. In addition, the idea of the WKB approximation method and the procedures dealing with the potential problems are demonstrated clearly, which are very helpful for understanding the quantum conditions of 1D potential well models deeply and mastering the WKB approximation method to solve some related problems in quantum mechanics.

scholarly journals ALGEBRAIC APPROACH TO THE SPECTRAL PROBLEM FOR THE SCHRÖDINGER EQUATION WITH POWER POTENTIALS

2000 ◽  
Vol 15 (02) ◽  
pp. 209-226 ◽  
Author(s):  
R. N. FAUSTOV ◽  
V. O. GALKIN ◽  
A. V. TATARINTSEV ◽  
A. S. VSHIVTSEV
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Mass Spectra ◽  
Infinite System ◽  
Algebraic Approach ◽  
Heavy Quarkonium ◽  
Algebraic Equations ◽  
Cornell Potential ◽  
Relativistic Equations ◽  
Good Agreement

The method reducing the solution of the Schrödinger equation for several types of power potentials to the solution of the eigenvalue problem for the infinite system of algebraic equations is developed. The finite truncation of this system provides high accuracy results for low-lying levels. The proposed approach is appropriate both for analytic calculations and for numerical computations. This method allows also to determine the spectrum of the Schrödinger-like relativistic equations. The heavy quarkonium (charmonium and bottomonium) mass spectra for the Cornell potential and the sum of the Coulomb and oscillator potentials are calculated. The results are in good agreement with experimental data.

Electron energy-loss near-edge structure in silicate minerals

1992 ◽  
Vol 50 (2) ◽  
pp. 1258-1259
Author(s):  
D W McComb ◽  
R S Payne ◽  
P L Hansen ◽  
R Brydson
Keyword(s):  
Solid State ◽  
Energy Loss ◽  
Electron Energy ◽  
State Energy ◽  
Local Environment ◽  
Edge Structure ◽  
Silicate Minerals ◽  
Two Samples ◽  
Electron Energy Loss ◽  
Careful Processing

Electron energy-loss near-edge structure (ELNES) is an effective probe of the local geometrical and electronic environment around particular atomic species in the solid state. Energy-loss spectra from several silicate minerals were mostly acquired using a VG HB501 STEM fitted with a parallel detector. Typically a collection angle of ≈8mrad was used, and an energy resolution of ≈0.5eV was achieved.Other authors have indicated that the ELNES of the Si L2,3-edge in α-quartz is dominated by the local environment of the silicon atom i.e. the SiO4 tetrahedron. On this basis, and from results on other minerals, the concept of a coordination fingerprint for certain atoms in minerals has been proposed. The concept is useful in some cases, illustrated here using results from a study of the Al2SiO5 polymorphs (Fig.l). The Al L2,3-edge of kyanite, which contains only 6-coordinate Al, is easily distinguished from andalusite (5- & 6-coordinate Al) and sillimanite (4- & 6-coordinate Al). At the Al K-edge even the latter two samples exhibit differences; with careful processing, the fingerprint for 4-, 5- and 6-coordinate aluminium may be obtained.

Sign in / Sign up

Export Citation Format

Share Document