Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ehrenfest's adiabatic hypothesis in Bohr's quantum theory   It is widely known that Paul Ehrenfest formulated and applied his adiabatic
hypothesis in the early 1910s. Niels Bohr, in his first attempt to construct a
quantum theory in 1916, used it for fundamental purposes in a paper which
eventually did not reach the press. He decided not to publish it after having
received the new results by Sommerfeld in Munich. Two years later, Bohr
published "On the quantum theory of line-spectra." There, the adiabatic
hypothesis played an important role, although it appeared with another name:
the principle of mechanical transformability. In the subsequent variations of
his theory, Bohr never suppressed this principle completely. We discuss the
role of Ehrenfest's principle in the works of Bohr, paying special attention to
its relation to the correspondence principle. We will also consider how
Ehrenfest faced Bohr's uses of his more celebrated contribution to quantum
theory, as well as his own participation in the spreading of Bohr's ideas.

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The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: math
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an