We obtained, by using the proper quantization rule, the approximate solutions of the Schrodinger equation with Manning-Rosen plus Hellmann potential for any l-state. Furthermore, thermodynamic properties, such as the vibrational mean U , specific heat C, free energy F and entropy S for the pure vibrational state in the classical limit for these energy eigenvalues, are studied.

Approximate solution of the Schrödinger equation with Manning-Rosen plus Hellmann potential and its thermodynamic properties using the proper quantization rule

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 Schrodinger 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 and heavy-light 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.

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Mass Spectrum of Mesons via the WKB Approximation Method

In this paper, we obtained the non-relativistic ro-vibrational energy spectra, constants, expectation values and the thermodynamic properties of the Schioberg potential function within the framewor...

Energy Spectrum and the properties of the Schiöberg potential using the WKB approximation approach

The low- and high-lying rovibrational energy levels of the Schrodinger equation with the molecular Tietz–Hua potential are obtained via the Wentzel–Kramers–Brilluoin (WKB) quantization approach. Th...

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Approximate non-relativistic energy expression and the rotational-vibrational constants of the Tietz-Hua potential: A semiclassical approach

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 non-symmetric potential function by using an appropriate Pekeris-type approximation scheme. We solved the Schrodinger 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 and heavy-light 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

Mass spectrum of Mesons via the WKB approximation method

The approximate analytical solutions of the radial Schrodinger equation have been obtained by the interaction of Manning-Rosen and Hellmann potentials which is a newly proposed potential. Using the Wentzel-Kramers-Brillouin WKB approach, we obtained the eigenstates solutions for any arbitrary angular momentum. Special cases of potential consideration have been discussed. Eigenenergy solutions to equations obtained play an important role in quantum mechanics because they contain a wealth of vital information regarding the system under consideration.

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Approximate l-States Solutions to the Schrodinger Equation with Manning-Rosen plus Hellmann Potential via WKB Approximation Scheme

This work examines the presence of pesticides residue levels in beef, chevon, and internal organs obtained from cows and goats slaughtered at Yola Abattoir in Adamawa State.Residues of organochlorines and organophosphorus pesticides were extracted from the meat, chevon and internal organs of the cows and goats using QuEChERS method, and analyzed by GC-MS technique.The residue analysis revealed that beef and chevon samples had no traces of organochlorines whileorganophosphorus (chlorpyrifos, dichlorvos, dichlorpyrifos, diazinon, dimethoate, primifos-methyl, and malathion) pesticide residues detected were below threshold level of 0.01 mg/kg. The result of the animals’ intestine showed the presence of chlorpyrifos (0.034 ± 0.001 vs. 0.031 ± 0.001) and (0.027 ± 0.001 vs.0.023 ± 0.0014) above the standard values, whereas, the dichlorvos level were (0.059 ± 0.0014 vs. 0.050 ± 0.0007), (0.061 ± 0.0007 vs. 0.043 ± 0.0014) and (0.072 ± 0.0014 vs. 0.031 ± 0.001) below the maximum residual value of 1 mg/kg.The kidney residue revealed that dichlorpyrifos, diazinon, dimethoate, primi-methyl and malathion were below the maximum residue limit (0.001 mg/kg) in the cow samples while chlorpyrifos: (0.013 ± 0.001 vs. 0.012 ± 0.001 vs. 0.018 ± 0.001 vs. 0.053 ± 0.001) were above the standard value (0.01 mg/kg). Dichlorvos was detected in the kidney of the goats; (0.069 ± 0.0007 vs. 0.035 ± 0.0014) and (0.052 ± 0.0014) below the maximum residual limit (MRL). Residue analysis in the livers of the cows also showed the presence of chlorpyrifos at (0.011 ± 0.001), (0.014 ± 0.001), (0.08 ± 0.001) above the recommended value, while dichlorvos (1.012 ± 0.001 vs. 0.027 ± 0.001) and (0.029 ± 0.001 vs. 0.037 ± 0.001) were below MRL established by the international health regulation agencies. Residue analysis of all the samples studied shows no trace of organochlorine pesticides. These findings are alarming and are potential threats to the public health.

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Comparative Analysis of the Level of Pesticide Residues in Beef, Chevon and Internal Organs of Cows and Goats Slaughtered in Yola Abattoir of Adamawa State, Nigeria

Magu O. Thomas

Papers

Approximate l-States Solutions to the Schrodinger Equation with Manning-Rosen plus Hellmann Potential via WKB Approximation Scheme

Comparative Analysis of the Level of Pesticide Residues in Beef, Chevon and Internal Organs of Cows and Goats Slaughtered in Yola Abattoir of Adamawa State, Nigeria