Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum ergodicity and localization of plasmon resonances   We are concerned with the geometric properties of the surface plasmon
resonance (SPR). SPR is a non-radiative electromagnetic surface wave that
propagates in a direction parallel to the negative permittivity/dielectric
material interface. It is known that the SPR oscillation is very sensitive to
the material interface. However, we show that the SPR oscillation
asymptotically localizes at places with high magnitude of curvature in a
certain sense. Our work leverages the Heisenberg picture of quantization and
quantum ergodicity first derived by Shnirelman, Zelditch, Colin de Verdi\`ere
and Helffer-Martinez-Robert, as well as certain novel and more general ergodic
properties of the Neumann-Poincar\'e operator to analyze the SPR field, which
are of independent interest to the spectral theory and the potential theory.

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The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
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The categories of this paper are: econ
34
The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph