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Derivation of the rovibrational Hamiltonian based on the tensor form: A new approach to generalized internal coordinates depending on the external parameters

Ebrahimi, H ; Sharif University of Technology | 2008

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  1. Type of Document: Article
  2. DOI: 10.1080/00268970802415217
  3. Publisher: 2008
  4. Abstract:
  5. The transformation of the complete (non-relativistic) molecular Hamiltonian from Cartesian to generalized coordinates based on the tensor form has been obtained. By taking generalized internal coordinates depending on two parameters we present an exact derivation of the molecular Hamiltonian that has simple and explicit expressions for general triatomic molecules, and all rovibrational couplings are determined. Our approach is applicable to various kinds of internal coordinates in a straightforward way. In this derivation, no approximations and no restrictions are imposed on the nature of the vibrational variables. We also introduce a straightforward method with minimum equations to obtain ωif, which is the key vector in our approach compared with the methods used in our previous works
  6. Keywords:
  7. Equations of motion ; Meats ; Tensors ; Cartesians ; Explicit expressions ; External- ; Generalized coordinates ; Internal coordinates ; Large-amplitude motions ; Molecular hamiltonians ; New approaches ; Rovibrational Hamiltonian ; Rovibrational Hamiltonians ; Straightforward methods ; Triatomic molecules ; Two parameters ; Hamiltonians
  8. Source: Molecular Physics ; Volume 106, Issue 19 , 2008 , Pages 2263-2269 ; 00268976 (ISSN)
  9. URL: https://www.tandfonline.com/doi/abs/10.1080/00268970802415217