{"title":"某些双原子分子与Varshni-Hellmann势模型相互作用的非相对论方程的解","authors":"","doi":"10.47011/15.2.8","DOIUrl":null,"url":null,"abstract":"Abstract: The approximate solutions of Schrödinger equation for the newly proposed Varshni-Hellmann potential (VHP) are obtained within the framework of the Nikiforov-Uvarov method by employing the Greene-Aldrich approximation scheme to deal with the centrifugal term. The numerical results of the ro-vibrational energies and normalized wavefunction in closed form are obtained in terms of Jacobi polynomials for various quantum states of the diatomic molecules of respectively. Four special cases of the potential are also studied and their numerical energy eigenvalues evaluated are in agreement with those reported in the existing literature. Also, the behavior of the energy spectra for the ground state of the selected diatomic molecules is illustrated graphically.\nKeywords: Schrödinger equation; Varshni-Hellmann potential, Nikiforov-Uvarov method, Diatomic molecules.","PeriodicalId":42562,"journal":{"name":"Jordan Journal of Physics","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":"{\"title\":\"Solutions of the Non-relativistic Equation Interacting with the Varshni-Hellmann Potential Model with Some Selected Diatomic Molecules\",\"authors\":\"\",\"doi\":\"10.47011/15.2.8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract: The approximate solutions of Schrödinger equation for the newly proposed Varshni-Hellmann potential (VHP) are obtained within the framework of the Nikiforov-Uvarov method by employing the Greene-Aldrich approximation scheme to deal with the centrifugal term. The numerical results of the ro-vibrational energies and normalized wavefunction in closed form are obtained in terms of Jacobi polynomials for various quantum states of the diatomic molecules of respectively. Four special cases of the potential are also studied and their numerical energy eigenvalues evaluated are in agreement with those reported in the existing literature. Also, the behavior of the energy spectra for the ground state of the selected diatomic molecules is illustrated graphically.\\nKeywords: Schrödinger equation; Varshni-Hellmann potential, Nikiforov-Uvarov method, Diatomic molecules.\",\"PeriodicalId\":42562,\"journal\":{\"name\":\"Jordan Journal of Physics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2022-06-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Jordan Journal of Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.47011/15.2.8\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Jordan Journal of Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.47011/15.2.8","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Solutions of the Non-relativistic Equation Interacting with the Varshni-Hellmann Potential Model with Some Selected Diatomic Molecules
Abstract: The approximate solutions of Schrödinger equation for the newly proposed Varshni-Hellmann potential (VHP) are obtained within the framework of the Nikiforov-Uvarov method by employing the Greene-Aldrich approximation scheme to deal with the centrifugal term. The numerical results of the ro-vibrational energies and normalized wavefunction in closed form are obtained in terms of Jacobi polynomials for various quantum states of the diatomic molecules of respectively. Four special cases of the potential are also studied and their numerical energy eigenvalues evaluated are in agreement with those reported in the existing literature. Also, the behavior of the energy spectra for the ground state of the selected diatomic molecules is illustrated graphically.
Keywords: Schrödinger equation; Varshni-Hellmann potential, Nikiforov-Uvarov method, Diatomic molecules.