Contact transformations in tensor formalism. Effective Hamiltonian and dipole moment for the v2, v4 dyad of tetrahedral molecules

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Simultaneous unitary transformations of the effective Hamiltonian and the effective dipole moment are studied via an irreducible tensor formalism for the v 2, v 4 dyad of tetrahedral molecules. Large unitary transformations relating resonance and isolated band models are treated by taking into account the non-leading contributions and multiple commutators. The unitary equivalence of different parameter sets of the effective dipole moment is explicitly shown for the v 2, v 4 bands of 12CH 4.