Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-Hermitian Hamiltonian and Lamb shift in circular dielectric
  microcavity   We study the normal modes and quasi-normal modes (QNMs) in circular
dielectric microcavities through non-Hermitian Hamiltonian, which come from the
modifications due to system-environment coupling. Differences between the two
types of modes are studied in detail, including the existence of resonances
tails. Numerical calculations of the eigenvalues reveal the Lamb shift in the
microcavity due to its interaction with the environment. We also investigate
relations between the Lamb shift and quantized angular momentum of the
whispering gallery mode as well as the refractive index of the microcavity. For
the latter, we make use of the similarity between the Helmholtz equation and
the Schr\"{o}dinger equation, in which the refractive index can be treated as a
control parameter of effective potential. Our result can be generalized to
other open quantum systems with a potential term.

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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
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The categories of this paper are: physics
20
The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio