The molecular hamiltonian

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Abstract
Recently [1] a complete hamiltonian, correct to order c -2, was derived for a translating, rotating, vibrating, non-linear molecule. Here this work is extended to linear molecules; because of the unusual features of linear molecules particular attention is paid to the vibrational and rotational parts of the hamiltonian, and some simplification is reported. As for non-linear molecules a number of new terms appear in the hamiltonian: mass polarization corrections to the orbital Zeeman, spin-orbit and orbit-rotation interactions; spin-vibration, orbit-vibration and orbit-rotation interactions together with a vibrational Zeeman interaction. The final hamiltonian provides a starting point for future investigations of the possible effects of these novel interactions on the high resolution spectroscopy of open- and closed-shell linear molecules.