Solutions of Schrodinger Equation and Thermodynamic Properties of Iodine and Scandium Flouride Molecules Based on Formula Method

2021 ◽  
Author(s):  
Chibueze P. Onyenegecha ◽  
Emeka Oguzie ◽  
Ifeanyi J. Njoku ◽  
Ejiro N. Omoko ◽  
Chioma J. Okereke
Keyword(s):  
Thermodynamic Properties ◽  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Formula Method

scholarly journals Solutions of Schrodinger Equation And Thermodynamic Properties of Potassium Dimer Based On Formular Method

2021 ◽  
Author(s):  
C. P. Onyenegecha ◽  
E. N. Omoko ◽  
I. J. Njoku ◽  
E. E. Oguzie ◽  
C. J. Okereke
Keyword(s):  
Partition Function ◽  
Thermodynamic Properties ◽  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
State Energy ◽  
Bound State ◽  
Bound State Energy ◽  
Radial Schrödinger Equation ◽  
Potassium Dimer ◽  
Formula Method

Abstract The study presents the thermodynamic properties of the XI Σ+g state of potassium (K2) dimer with molecular Deng-Fan potential. The bound state energy solution of the radial Schrodinger equation is obtained via the formula method. The partition function and other thermodynamic properties are evaluated. The numerical values of energy are found to be in agreement with results obtained from other methods in literature. The results further show that the partition function increases as temperature decreases, which implies a decrease in the probability of finding a particle in a state with quantum number, n.

scholarly journals Approximate Solutions, Thermodynamic Properties and Expectation Values With the Hua Plus Modified Eckart (HPME) Potential

2021 ◽  
Author(s):  
I. J. Njoku ◽  
C. J. Okereke ◽  
C. P. Onyenegecha ◽  
E. Onyeocha ◽  
P. Nwaokafor ◽  
...  
Keyword(s):  
Partition Function ◽  
Thermodynamic Properties ◽  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Approximate Solutions ◽  
Expectation Values ◽  
Vibrational Partition Function ◽  
Formula Method ◽  
Feynman Theorem

Abstract The approximate solutions of Schrodinger equation for the Hua plus modified Eckart (HPME) potential is obtained via the Formula method. The vibrational partition function and other thermodynamic properties were investigated. Using the Hellmann-Feynman theorem, the expectation values of r -2, T and p2 and their numerical values are also presented. Some cases of this potential are also studied. The results of our study are consistent with those in literature.

Solutions of Schrodinger equation and thermodynamic properties of Iodine and Scandium Fluoride molecules based on Formula method

2021 ◽  
Author(s):  
Ifeanyi Jude Njoku ◽  
Chibueze Paul Onyenegecha ◽  
Chioma J Okereke ◽  
Ekwevugbe Omugbe ◽  
Emeka Onyeocha
Keyword(s):  
Partition Function ◽  
Thermodynamic Properties ◽  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
State Energy ◽  
Bound State ◽  
Energy Solution ◽  
Bound State Energy ◽  
Radial Schrödinger Equation ◽  
Formula Method

Abstract The study presents the thermodynamic properties of the Iodine and Scandium Flouride molecules with molecular Deng-Fan potential. The bound state energy solution of the radial Schrodinger equation is obtained via the formula method. The partition function and other thermodynamic properties are evaluated via the Poisson summation approach. The numerical values of energy of the I2 and ScF molecules are found to be in agreement with results obtained from other methods in the literature. The results further show that the partition function decreases, and then converges to a constant value as temperature increases.

Nonrelativistic Solutions of Schrodinger Equation and Thermodynamic Properties with the Proposed Modified Mobius Square Plus Eckart Potential

2021 ◽  
Author(s):  
Chibueze P. Onyenegecha ◽  
Ifeanyi J. Njoku ◽  
Alex I. Opara ◽  
Obi Kingsley Echendu ◽  
Ejiro N. Omokoro ◽  
...  
Keyword(s):  
Thermodynamic Properties ◽  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Eckart Potential

Superstatistics and canonical quantization of the damped harmonic oscillator

2019 ◽  
Vol 34 (14) ◽  
pp. 1950108 ◽  
Author(s):  
S. Sargolzaeipor ◽  
H. Hassanabadi ◽  
W. S. Chung
Keyword(s):  
Thermodynamic Properties ◽  
Schrödinger Equation ◽  
Harmonic Oscillator ◽  
Schrodinger Equation ◽  
Canonical Quantization ◽  
Quantization Method ◽  
Dirac Delta ◽  
Energy Eigenvalues ◽  
Damped Harmonic Oscillator ◽  
Gamma Distributions

In this paper, we investigate the behavior of the energy eigenvalues of the Schrödinger equation by using the canonical quantization method. We obtain the Hamiltonian of the Schrödinger equation by the Lagrangian in terms of the new coordinates. Then we calculate the partition function by the eigenvalues and the thermodynamic properties of the system in the superstatistics formalism for the modified Dirac delta and the Gamma distributions. All results in the limiting cases satisfy that of the harmonic oscillator. Furthermore, the effects of the all parameters in the problem of energy eigenvalues and thermodynamic properties are calculated and shown graphically.

Superstatistics of two electrons quantum dot

2019 ◽  
Vol 34 (03) ◽  
pp. 1950023 ◽  
Author(s):  
S. Sargolzaeipor ◽  
H. Hassanabadi ◽  
W. S. Chung
Keyword(s):  
Energy Spectrum ◽  
Thermodynamic Properties ◽  
Quantum Dot ◽  
Schrödinger Equation ◽  
Analytical Method ◽  
Schrodinger Equation ◽  
Boltzmann Factor ◽  
Dirac Delta ◽  
Uniform Distributions ◽  
Parabolic Quantum Dot

In this paper, we discussed the Schrödinger equation in the presence of the harmonic two electrons interaction for the parabolic quantum dot and the energy spectrum by an analytical method is obtained, then the effective Boltzmann factor in a deformed formalism for modified Dirac delta and uniform distributions are derived. We make use of the superstatistics for the two distributions in physics and the thermodynamic properties of the system are calculated. Ordinary results are recovered for the vanishing deformed parameter. Furthermore, the effect of all parameters in the problems are calculated and shown graphically.

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