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Action and phase

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Book cover Classical Dynamics and Its Quantum Analogues

Part of the book series: Lecture Notes in Physics ((LNP,volume 110))

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References

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  4. The necessary indefinite integrals are in Dwight's Tables, but the best way to carry out closed integrals of this kind is by the use of complex variables. It is not only faster when you know how to do it; it also enables more difficult integrals to be done. For the relevant techniques see Sommerfeld 1923, Note 5; Born 1927, App.2; Goldstein 1950, Sec. 9.7.

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  10. Having established this, we can verify that X m α and X m are actually the same in the correspondence limit. See (6.42).

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  17. A clear and detailed review, with extensive literature references, is D.I.Blochintsev and B.M.Barbashov, Sov. Phys. Uspekhi 15, 193 (1972). See also J.B.Keller and D.W.McLaughlin, Am. Math, Monthly 82, 451 (1975).

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  18. For a recent discussion see K.-S. Cheng, J. Math. Phys. 13, 1723 (1972); 14, 980 (1973).

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© 1979 Springer-Verlag

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(1979). Action and phase. In: Classical Dynamics and Its Quantum Analogues. Lecture Notes in Physics, vol 110. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0021211

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  • DOI: https://doi.org/10.1007/BFb0021211

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  • Print ISBN: 978-3-540-09565-1

  • Online ISBN: 978-3-540-46838-7

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