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Published online by Cambridge University Press: 15 September 2014
The theory of the rotating vibrator has been developed by the late J. L. Dunham (1932). The essential step in Dunham's treatment of this question is his replacement of the potential expression occurring in the Schrödinger equation for the diatomic molecule by an arbitrary function in terms of the nuclear separation. When this replacement is made, the Schrödinger equation can be solved by methods developed by Wentzel (1926), Brillouin (1926), and Kramers (1926), and the energy of the rotating vibrator can be expressed as a power series in the quantum numbers in a form convenient for application to spectral data.