TY - JOUR
A2 - Gatti, Fabien
AU - Lasorne, Benjamin
PY - 2014
DA - 2014/07/15
TI - On the Use of Lie Group Homomorphisms for Treating Similarity Transformations in Nonadiabatic Photochemistry
SP - 795730
VL - 2014
AB - 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.
SN - 1687-9120
UR - https://doi.org/10.1155/2014/795730
DO - 10.1155/2014/795730
JF - Advances in Mathematical Physics
PB - Hindawi Publishing Corporation
KW -
ER -