On the Use of Lie Group Homomorphisms for Treating Similarity Transformations in Nonadiabatic Photochemistry

Benjamin Lasorne

Advances in Mathematical Physics, 2014, vol. 2014, 1-14

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 is equivalent to the product of a single matrix of by a real vector. We recall how Pauli matrices are the adequate tool when and show how the same is achieved for with Gell-Mann matrices.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:795730

DOI: 10.1155/2014/795730

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