Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Is the Adiabatic Approximation Inconsistent?   Marzlin and Sanders \cite{marzlin} have shown rigorously that the adiabatic
approximation can be very inaccurate when applied to a Hamiltonian $H(t)$ that
generates the evolution $U^{\dagger} (t)$ even if it gives an excellent
approximation to the evolution $U(t)$ generated by a dual Hamiltonian $h(t)$.
We show that this is not inconsistent with the adiabatic theorem and find that
in general even if $h(t)$ satisfies the conditions of the adiabatic theorem,
$H(t)$ will likely violate those conditions.

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The categories of this paper are: physics
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: hep-th
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an