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On the Quantum Theory of Vibration-Rotation Bands

Published online by Cambridge University Press:  24 October 2008

Extract

The dynamical problem of the “diatomic molecule” is solved on the new mechanics. The terms of the rotational energy are , where ; the weights of the corresponding states are 2m; the frequencies differ a little from the classical ones. Finally the intensities are slightly different from those computed by Kemble; the main term agrees with that of Fowler, but the positive branch is only slightly stronger than the negative. The central line vanishes. The intensities are valid only for the fundamental band.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1926

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References

* Fowler, , Phil. Mag. vol. XLIX, p. 1272 (1925).CrossRefGoogle Scholar

Kemble, , Phys. Rev. vol. xxv, p. 1 (1925).CrossRefGoogle Scholar

Dirac, , Proc. Roy. Soc. A, vol. cx, p. 561 (1926)CrossRefGoogle Scholar; Born, , Heisenberg, , Jordan, , Zeit. f. Physik, vol. xxxv, p. 557 (1926).CrossRefGoogle Scholar

§ Brillouin, , C.R. vol. CLXXXII, p. 374 (1926).Google Scholar

| Heisenberg, , Zeit. f. Physik, vol. xxx, p. 879 (1925)CrossRefGoogle Scholar; Born, und Jordan, , Zeit. f. Physik, vol. xxxiv, p. 858 (1925).CrossRefGoogle Scholar

* Dirac, , Proc. Roy. Soc. A, vol. cx, p. 561 (1926).CrossRefGoogle Scholar

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Heisenberg, , Zeit. f. Physik, vol. XXXIII, p. 879 (1925)CrossRefGoogle Scholar; Born, und Jordan, , Zeit. f. Physik, vol. xxxiv, p. 858 (1925).CrossRefGoogle Scholar

* Dirac, , Proc. Roy. Soc. A, vol. cx, p. 561 (1926)CrossRefGoogle Scholar; Born, , Heisenberg, , Jordan, , Zeit. f. Physik, vol. xxxv, p. 557 (1926).CrossRefGoogle Scholar

Dirac, , Proc. Roy. Soc. A, vol. cxi, p. 281 (1926).CrossRefGoogle Scholar

Born, , Atommechanik, § 20.Google Scholar

* Dirac, , Proc. Roy. Soc. A, vol. cxi, p. 281 (1926).CrossRefGoogle Scholar

Dirac, , Proc. Roy. Soc. A, vol. cx, p. 561 (1926)CrossRefGoogle Scholar; Born, , Heisenberg, , Jordan, , Zeit. f. Physik, vol. xxxv, p. 557 (1926).CrossRefGoogle Scholar

* On Schrodinger's Theory there is no normal state for a rigid rotator in two dimensions, and the transitions for m, (½→½), (−½→½) occur.

* Kemble, , loc.cit. and Fowler , Phil. Mag. vol. L, p. 1079 (1925).Google Scholar

For the fundamental hydrogen chloride band studied by Kemble and Fowler the values of 4γ and differ by only about 10 per cent.; the positive branch remains slightly the stronger.

* Schrödinger, , Ann. A. Phys. vol. LXXIX, p. 484 (1926). See particularly Eq. (51).Google Scholar

Mensing, , Zeit. f. Physik, vol. xxxvi, p. 814 (1926).CrossRefGoogle Scholar

Born, und Jordan, , Zeit. f. Physik, vol. xxxiv, p. 838 (1925).Google Scholar

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