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Lie algebraic approach to the scattering system H e + H 2
Author(s) -
Ding Shiliang,
Yi Xizhang,
Deng Conghao
Publication year - 1989
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560360320
Subject(s) - semiclassical physics , hamiltonian (control theory) , algebraic number , scattering , lie algebra , hamiltonian system , physics , mathematical physics , quantum mechanics , statistical physics , mathematics , mathematical analysis , mathematical optimization , quantum
In this article, the Hamiltonian for the scattering of the H e + H 2 system is given by using the interaction potential V ( X , Y , Θ) determined by experiments and the semiclassical method. From this Hamiltonian we find a dynamical algebra h 6 . The statistical expectation of the energy and the transition probability of H 2 , P n → m , are derived; therefore, selection rules have been found easily.