Weyl problem and Casimir effects in spherical shell geometry

@article{Kolomeisky2013WeylPA,
  title={Weyl problem and Casimir effects in spherical shell geometry},
  author={Eugene B. Kolomeisky and Hussain Zaidi and Luke S. Langsjoen and Joseph P Straley},
  journal={Physical Review A},
  year={2013},
  volume={87},
  pages={042519}
}
We compute the generic mode sum that quantifies the effect on the spectrum of a harmonic field when a spherical shell is inserted into vacuum. This encompasses a variety of problems including the Weyl spectral problem and the Casimir effect of quantum electrodynamics. This allows us to resolve several long-standing controversies regarding the question of universality of the Casimir self-energy; the resolution comes naturally through the connection to the Weyl problem. Specifically we… 
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