{"title":"正交对称非对称转子分子的四阶哈密顿量","authors":"W. Olson, H. Allen","doi":"10.6028/jres.067A.039","DOIUrl":null,"url":null,"abstract":"The fourth order Hamiltonian of an asymmetric rotor molecule of orthorhombic symmetry given recently has been considerably reduced in complexity through the use of equations derived from the basic relationship among the angular momentum operators. The reduced Hamiltonian obtained provides a most convenient starting point for the calculation of rotational energy levels from a solution of the complete secular equation, for a perturbation theory solution to the problem of centrifugal distortion, and for the deduction of sum rules among the energy levels.","PeriodicalId":94340,"journal":{"name":"Journal of research of the National Bureau of Standards. Section A, Physics and chemistry","volume":"16 1","pages":"359 - 362"},"PeriodicalIF":0.0000,"publicationDate":"1963-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":"{\"title\":\"On the Fourth Order Hamiltonian of an Asymmetric Rotor Molecule of Orthorhombic Symmetry\",\"authors\":\"W. Olson, H. Allen\",\"doi\":\"10.6028/jres.067A.039\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The fourth order Hamiltonian of an asymmetric rotor molecule of orthorhombic symmetry given recently has been considerably reduced in complexity through the use of equations derived from the basic relationship among the angular momentum operators. The reduced Hamiltonian obtained provides a most convenient starting point for the calculation of rotational energy levels from a solution of the complete secular equation, for a perturbation theory solution to the problem of centrifugal distortion, and for the deduction of sum rules among the energy levels.\",\"PeriodicalId\":94340,\"journal\":{\"name\":\"Journal of research of the National Bureau of Standards. Section A, Physics and chemistry\",\"volume\":\"16 1\",\"pages\":\"359 - 362\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1963-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"9\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of research of the National Bureau of Standards. Section A, Physics and chemistry\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.6028/jres.067A.039\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of research of the National Bureau of Standards. Section A, Physics and chemistry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.6028/jres.067A.039","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the Fourth Order Hamiltonian of an Asymmetric Rotor Molecule of Orthorhombic Symmetry
The fourth order Hamiltonian of an asymmetric rotor molecule of orthorhombic symmetry given recently has been considerably reduced in complexity through the use of equations derived from the basic relationship among the angular momentum operators. The reduced Hamiltonian obtained provides a most convenient starting point for the calculation of rotational energy levels from a solution of the complete secular equation, for a perturbation theory solution to the problem of centrifugal distortion, and for the deduction of sum rules among the energy levels.