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- W141575543 abstract "The mathematical approximation method which, since the breakthrough of quantum mechanics, is usually called the WKB-method, has really been known for a very long time. The method describes various kinds of wave motion in an inhomogeneous medium, where the properties change only slightly over one wavelength, and also provides the connection between classical mechanics and quantum mechanics. To a surprisingly large extent it can be found already in an investigation by Carlini (1817) on the motion of a planet in an unperturbed elliptic orbit. After that the method was independently developed and used by many people. The important connection formulas were, however, missing until Rayleigh (1912) very implicitly and Gans (1915) somewhat more explicitly derived one of them, later rediscovered independently by Jeffreys (1923), who also derived another connection formula (although not in quite correct form), and by Kramers (1926)." @default.
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- W141575543 date "1985-01-01" @default.
- W141575543 modified "2023-09-27" @default.
- W141575543 title "ON THE HISTORY OF THE SO-CALLED WKB-METHOD FROM 1817 TO 1926" @default.
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- W141575543 doi "https://doi.org/10.1016/b978-0-444-86972-2.50006-x" @default.
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