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I'm having some trouble identifying a reference Landau and Lifshitz make in volume 3 - non-relativistic quantum mechanics - of their Course of theoretical physics. This is the page from the Oxford, Pergamon, 1977 edition:

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There isn't a bibliography either at the end of the chapter or the book, and other references are usually well identified in footnotes. I know it's a long shot to identify and obtain a copy of this article (in English), but I would definitely like to have a look at it. It appears to be the original publication of Landau's method of complex-contour integration to find WKB-approximation matrix elements.

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This could be helpful. –  user10001 Oct 24 '12 at 14:10
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1 Answer

up vote 7 down vote accepted

It's called the Landau-Zener formula:

Wittig, Curt. The Landau-Zener formula. J. Phys. Chem. B 109 (2005) pp. 8428-8430. DOI:10.1021/jp040627u

Clarence Zener found it correctly, Landau had a factor of $2\pi$ error, they were independent. There are two papers by Landau on this:

Landau, Lev D. A theory of energy transfer on collisions. Phys. Z. Sowjet. (Physikalische Zeitschrift der Sowjetunion) 1 88 (1932)


Landau, Lev D. A theory of energy transfer II. Physik. Z. Sowjet. 2 46 (1932).

They can both be found in Landau's Collected Papers, which may be easier to get hold of than Physik Z Sowjet.

See also [1] in the first paper above for the Zener reference.

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I added an extra reference to your post rather than post a new answer so you'll get the rep - I hope you don't mind. –  Emilio Pisanty Oct 30 '12 at 13:00
There are also independent papers by Dykhne on this subject but I only know they're in JETP, which I usually have some trouble finding copies of. –  Emilio Pisanty Oct 30 '12 at 13:01
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