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TMF, 2017, Volume 190, Number 2, Pages 366–372 (Mi tmf9123)  

This article is cited in 4 scientific papers (total in 4 papers)

Casimir effect for Chern–Simons layers in the vacuum

V. N. Marachevsky

Saint Petersburg State University, St. Petersburg, Russia

Abstract: We solve the diffraction problem for electromagnetic waves on a planar $(2{+}1)$-dimensional layer with a given Chern–Simons action. The Casimir energy of a system of two parallel planar Chern–Simons layers is expressed in terms of the coefficients of reflection from separate layers.

Keywords: Chern–Simons interaction, diffraction problem, Casimir energy

Funding Agency Grant Number
Saint Petersburg State University 11.38.237.2015


DOI: https://doi.org/10.4213/tmf9123

Full text: PDF file (331 kB)
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English version:
Theoretical and Mathematical Physics, 2017, 190:2, 315–320

Bibliographic databases:

Document Type: Article
Received: 15.12.2015

Citation: V. N. Marachevsky, “Casimir effect for Chern–Simons layers in the vacuum”, TMF, 190:2 (2017), 366–372; Theoret. and Math. Phys., 190:2 (2017), 315–320

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  • http://mi.mathnet.ru/eng/tmf/v190/i2/p366

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Fuchs S., Lindel F., Krems R.V., Hanson G.W., Antezza M., Buhmann S.Y., “Casimir-Lifshitz Force For Nonreciprocal Media and Applications to Photonic Topological Insulators”, Phys. Rev. A, 96:6 (2017), 062505  crossref  isi  scopus
    2. Fialkovsky I. Khusnutdinov N. Vassilevich D., “Quest For Casimir Repulsion Between Chern–Simons Surfaces”, Phys. Rev. B, 97:16 (2018), 165432  crossref  isi  scopus
    3. Rode S., Bennett R., Buhmann S.Y., “Casimir Effect For Perfect Electromagnetic Conductors (Pemcs): a Sum Rule For Attractive/Repulsive Forces”, New J. Phys., 20 (2018), 043024  crossref  isi  scopus
    4. Buhmann S.Y., Marachevsky V.N., Scheel S., “Charge-Parity-Violating Effects in Casimir-Polder Potentials”, Phys. Rev. A, 98:2 (2018), 022510  crossref  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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