{"title":"Thermodynamic properties and the confinement frequency for Second Pὃschl-Teller potential","authors":"C.A. Onate , I.B. Okon , E. Omugbe , E.S. Eyube , K.O. Emeje","doi":"10.1016/j.rinp.2025.108144","DOIUrl":null,"url":null,"abstract":"<div><div>The study of thermodynamic properties for different potentials as a function of temperature and maximum quantum state have been widely reported. In the present study, the authors examined the effect of the total confinement frequency (which is a combination of a confinement frequency <span><math><msub><mi>ω</mi><mn>0</mn></msub></math></span> and cyclotron frequency <span><math><msub><mi>ω</mi><mi>c</mi></msub></math></span>) on some thermodynamic properties such as the vibrational enthalpy, the vibrational Gibbs free energy and the vibrational entropy. The energy level of the Second Pὃschl-Teller potential model is obtained using supersymmetric approach and shape invariance formalism. Then, the vibrational partition function is calculated from the energy level of the Second Pὃschl-Teller potential model using the Poisson summation formula. The vibrational thermodynamic properties are calculated from the partition function and its derivative. The result shows that the presence of the total confinement frequency lowers the vibrational enthalpy and entropy but reduces the negativity of the Gibbs free energy. The result also showcases that the magnetic field which is the main term in the cyclotron frequency has less decreasing effect on the enthalpy and entropy compared to the frequency as part of the total confinement frequency.</div></div>","PeriodicalId":21042,"journal":{"name":"Results in Physics","volume":"70 ","pages":"Article 108144"},"PeriodicalIF":4.4000,"publicationDate":"2025-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Results in Physics","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2211379725000385","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
The study of thermodynamic properties for different potentials as a function of temperature and maximum quantum state have been widely reported. In the present study, the authors examined the effect of the total confinement frequency (which is a combination of a confinement frequency and cyclotron frequency ) on some thermodynamic properties such as the vibrational enthalpy, the vibrational Gibbs free energy and the vibrational entropy. The energy level of the Second Pὃschl-Teller potential model is obtained using supersymmetric approach and shape invariance formalism. Then, the vibrational partition function is calculated from the energy level of the Second Pὃschl-Teller potential model using the Poisson summation formula. The vibrational thermodynamic properties are calculated from the partition function and its derivative. The result shows that the presence of the total confinement frequency lowers the vibrational enthalpy and entropy but reduces the negativity of the Gibbs free energy. The result also showcases that the magnetic field which is the main term in the cyclotron frequency has less decreasing effect on the enthalpy and entropy compared to the frequency as part of the total confinement frequency.
Results in PhysicsMATERIALS SCIENCE, MULTIDISCIPLINARYPHYSIC-PHYSICS, MULTIDISCIPLINARY
CiteScore
8.70
自引率
9.40%
发文量
754
审稿时长
50 days
期刊介绍:
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