Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homogenization of Schrodinger equations. Extended Effective Mass
  Theorems for non-crystalline matter   This paper concerns the homogenization of Schrodinger equations for
non-crystalline matter, that is to say the coefficients are given by the
composition of stationary functions with stochastic deformations. Two rigorous
results of so-called effective mass theorems in solid state physics are
obtained: a general abstract result (beyond the classical stationary ergodic
setting), and one for quasi-perfect materials (i.e. the disorder in the
non-crystalline matter is limited). The former relies on the double-scale
limits and the wave function is spanned on the Bloch basis. Therefore, we have
extended the Bloch Theory which was restrict until now to crystals (periodic
setting). The second result relies on the Perturbation Theory and a special
case of stochastic deformations, namely stochastic perturbation of the
identity.

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The categories of this paper are: dg-ga
1
The categories of this paper are: cs
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
10
The categories of this paper are: q-bio
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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: hep-th
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an