On the treatment of singularities of the Watson Hamiltonian for nonlinear molecules

The applicability of the Watson Hamiltonian for the description of nonlinear molecules—especially triatomic ones—has always been questioned, as the Jacobian of the transformation that leads to the Watson Hamiltonian, vanishes at the linear configuration. This results in singular behavior of the Watson Hamiltonian, giving rise to serious numerical problems in the computation of vibrational spectra, with unphysical, spurious vibrational states appearing among the physical vibrations, especially in the region of highly excited states. In this work, we analyze the problem and propose a simple way to confine the nuclear wavefunction in such a way that the spurious solutions are eliminated. We study the water molecule and observe an improvement compared with previous results. We also apply the method to the van der Walls molecule XeHe2.

'A new sword on an old anvil': W.B.Yeats, Robert Graves and the Anglo-Irish Tradition

Throughout his writing life, Robert Graves was consistently and often publicly hostile to the work of W.B. Yeats, whilst still also owing a considerable debt to the older poet (who he never met). This essay explores Graves' complex responses to Yeats, arguing that his antagonism may be understood in the light of his own Anglo-Irish background, and is implicated in his relations with his father, Alfred Perceval Graves, as well as his experience of the First World War. Probing the suggestiveness of Graves's claim in 1959 that his poems 'remain true to the Anglo-Irish poetic tradition into which I was born', it traces the relation between Yeats and Graves through correspondence, critical writings, and through a comparative reading of Yeats's A Vision and Graves's The White Goddess, and reveals underlying similarities in their critical and mythological thinking in spite of Graves's public disavowal of the Yeatsian aesthetic.