Thermodynamics properties study of diatomic molecules with q-deformed modified Poschl-Teller plus Manning Rosen non-central potential in D dimensions using SUSYQM approach

Супармі, A.; Cari, C.; Pratiwi, Beta Nur

doi:10.1088/1742-6596/710/1/012026

Cited by 21 publications

(11 citation statements)

References 26 publications

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“…This function is also known as the distribution function and its existence is important since someone wants to study the thermodynamical properties. Furthermore, this function can be derived using the energy equation from the considered system (Akpan N Ikot et al, 2018;Suparmi, Cari, and Pratiwi, 2016 .…”

Section: Thermodynamics Propertiesmentioning

confidence: 99%

Analysis of Energy and Wave Functions and the Thermodynamics Properties of the 6-Dimensional Schrodinger Equation Under Double Ring-Shape Oscillator (Drso) and Manning-Rosen Potentials Using Susy Qm Method

Bilaut¹,

Супармі²,

Cari³

et al. 2020

PTQ

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The exact solutions of the Schrodinger equations (SE) in the D-dimensional coordinate system have attracted the attention of many theoretical researchers in branches of quantum physics and quantum chemistry. The energy eigenvalues and the wave function are the solutions of the Schrodinger equation that implicitly represents the behavior of a quantum mechanical system. This study aimed to obtain the eigenvalues, wave functions, and thermodynamic properties of the 6-Dimensional Schrodinger equation under Double Ring-Shaped Oscillator (DRSO) and Manning-Rosen potential. The variable separation method was applied to reduce the one 6-Dimensional Schrodinger equation depending on radial and angular non-central potential into five onedimensional Schrodinger equations: one radial and five angular Schrodinger equations. Each of these onedimensional Schrodinger equations was solved using the SUSY QM method to obtain one eigenvalue and one wave function of the radial part, five eigenvalues, and five angular wave functions angular part. Some thermodynamic properties such, the vibrational mean energy 𝑈, vibrational specific heat 𝐶, vibrational free energy 𝐹, and vibrational entropy 𝑆, were obtained using the radial energy equations. The results showed that except the 𝑛𝑙1, all increment of angular quantum number decreases the energy values. Increments of all potential parameter increase the energy values. Increment of angular quantum number and potentials parameter increases the amplitude and shifts the wave functions to the left. However, the increment of 𝑛𝑙1, 𝛼, 𝜎, and 𝜌 decrease the amplitude and shift wavefunctions to the right. Moreover, the vibrational mean energy 𝑈 and free energy 𝐹 increased as the increasing value of potentials parameters, where the ω parameter has the dominant effect than the other parameters. The vibrational specific heat 𝐶 and entropy 𝑆 affected only by the 𝜔 parameter, where 𝐶 and 𝑆 decreased as the increase of 𝜔.

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Section: Thermodynamics Propertiesmentioning

confidence: 99%

Analysis of Energy and Wave Functions and the Thermodynamics Properties of the 6-Dimensional Schrodinger Equation Under Double Ring-Shape Oscillator (Drso) and Manning-Rosen Potentials Using Susy Qm Method

Bilaut¹,

Супармі²,

Cari³

et al. 2020

PTQ

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“…Over the years, thermodynamic properties of various systems have been reported. For instance, Supermi et al [11], studied thermodynamic properties of some molecules with q-deformed modified Poschl-Teller plus Manning Rosen potential. Ikot et al [12] discussed thermodynamic properties of screened Kratzer potential.…”

Section: Introductionmentioning

confidence: 99%

Dirac equation and thermodynamic properties with the Modified Kratzer potential

Onyenegecha¹,

Njoku²,

Omame³

et al. 2021

Heliyon

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In this work, we present the analytical solutions of Dirac equation for modified Kratzer potential in the pseudospin and spin symmetry limits using the formula method. The energies of the pseudospin and spin symmetry limit are obtained analytically and numerically. The numerical values are compared with those obtained in literature. Furthermore, we study the thermodynamic properties of some diatomic molecules within the nonrelativistic spin symmetry limits.

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“…The partition function equation then was used to determine the thermodynamic properties equations. The thermodynamic properties have been studied by Dong [52].…”

Section: Introductionmentioning

confidence: 99%

“…The partition function equation then was used to determine the thermodynamic properties equations. The thermodynamic properties have been studied by Dong and Cruz Irisson for the modified Rosen Morse potential [46] , Ikot et al for general molecular potentials [47] , Oyewumi et al for shifted Den Fan potential [48] , Okorie and Ibekwe for modified Yukawa potential [49] , Ikhdair et al for Poschl Teller potential [50] , Song et al for the sodium dimer [51] , and Suparmi et al for q-deformed modified Posch Teller plus Manning Rosen non-central potential [52] .…”

Section: Introductionmentioning

confidence: 99%

Study of Bohr Mottelson Hamiltonian with minimal length effect for Woods-Saxon potential and its thermodynamic properties

Супармі

Permatahati

Faniandari

et al. 2021

Heliyon

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The Bohr Mottelson Hamiltonian with the variable of collective shape for the Woods-Saxon potential in the rigid deformed nucleus for = 0 and the X(3) model was investigated in the presence of the minimal length formalism. The Bohr Mottelson Hamiltonian was solved approximately by proposing a new wave function. The q-deformed hyperbolic potential concept such that the rigid deformed nucleus of the Bohr Mottelson equation in the minimal length formalism for Woods-Saxon potential was used, so that the equation was reduced to the form of Schrodinger-like equation with cotangent hyperbolic potential. The hypergeometric method was used to obtain the energy spectra equation and the unnormalized wave function of the system. The results showed that the energy spectra were affected by the quantum number, the minimal length parameter, and the atomic mass. The larger mass of the atom affected the energy spectra to decrease, the increase of the values of the minimal length affected the increase of the energy spectra of all atoms. The energy spectra were used to determine the thermodynamic properties including the partition function, mean energy, specific heat, free energy, and entropy of the quantum system with the help of the imaginary error function.

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Thermodynamics properties study of diatomic molecules with q-deformed modified Poschl-Teller plus Manning Rosen non-central potential in D dimensions using SUSYQM approach

Cited by 21 publications

References 26 publications

Analysis of Energy and Wave Functions and the Thermodynamics Properties of the 6-Dimensional Schrodinger Equation Under Double Ring-Shape Oscillator (Drso) and Manning-Rosen Potentials Using Susy Qm Method

Analysis of Energy and Wave Functions and the Thermodynamics Properties of the 6-Dimensional Schrodinger Equation Under Double Ring-Shape Oscillator (Drso) and Manning-Rosen Potentials Using Susy Qm Method

Dirac equation and thermodynamic properties with the Modified Kratzer potential

Study of Bohr Mottelson Hamiltonian with minimal length effect for Woods-Saxon potential and its thermodynamic properties

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