on the use of lie group homomorphisms for treating similarity transformations in nonadiabatic photochemistry
Clicks: 343
ID: 234498
2014
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Abstract
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.
| Reference Key |
lasorne2014advanceson
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|---|---|
| Authors | ;Benjamin Lasorne |
| Journal | theater |
| Year | 2014 |
| DOI |
10.1155/2014/795730
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| URL | |
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