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On the Use of Lie Group Homomorphisms for Treating Similarity Transformations in Nonadiabatic Photochemistry
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-15
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
A formulation based on Lie group homomorphisms is presented for simplifying the treatment of unitary similarity transformations of Hamiltonian matrices in nonadiabatic photochemistry.
A general derivation is provided whereby it is shown that a similarity transformation acting on a traceless, Hermitian matrix through a unitary matrix of SU(n) is equivalent to the product of a single matrix of On2-1 by a real vector.
We recall how Pauli matrices are the adequate tool when n=2 and show how the same is achieved for n=3 with Gell-Mann matrices.
American Psychological Association (APA)
Lasorne, Benjamin. 2014. On the Use of Lie Group Homomorphisms for Treating Similarity Transformations in Nonadiabatic Photochemistry. Advances in Mathematical Physics،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-498789
Modern Language Association (MLA)
Lasorne, Benjamin. On the Use of Lie Group Homomorphisms for Treating Similarity Transformations in Nonadiabatic Photochemistry. Advances in Mathematical Physics No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-498789
American Medical Association (AMA)
Lasorne, Benjamin. On the Use of Lie Group Homomorphisms for Treating Similarity Transformations in Nonadiabatic Photochemistry. Advances in Mathematical Physics. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-498789
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-498789