Abstract
We want to show here how the result (9.E.52) can be obtained globally, without resorting to a perturbation expansion. In that formula one can see that the WKB-approximation, including the normalization factor with the Van Vleck determinant ncR is exact up to the factor exp \(\{ \frac{{\mu cR}}{2}(T - {t_o})\} = \exp \{ - \frac{{\eta cR}}{{12}}(T - {t_o})\} \) \(\{ \frac{{\mu cR}}{2}(T - {t_o})\} = \exp \{ - \frac{{\eta cR}}{{12}}(T - {t_o})\} \)
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© 1982 Springer Science+Business Media Dordrecht
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Langouche, F., Roekaerts, D., Tirapegui, E. (1982). Computation of the Propagator on the Sphere S3 . In: Functional Integration and Semiclassical Expansions. Mathematics and Its Applications, vol 10. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1634-5_12
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DOI: https://doi.org/10.1007/978-94-017-1634-5_12
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-8377-7
Online ISBN: 978-94-017-1634-5
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