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Confinement in spherical and cylindrical toroids: A—Electrons in quantum dots B—Electromagnetic multipole sources and fields

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Abstract

This contribution is motivated by the current interest in topological materials and the studies in toroidal dipole interactions in metamaterials and nanophotonics. Its contents are presented in two parts, one on reviews of electrons in cylindrical boxes and magnetic fields and of electromagnetic multipole sources and fields in spherical toroids and new results on a complete family of electromagnetic multipole sources and fields in cylindrical toroids. The discussion and outlook of both parts may be helpful to appreciate the progress since previous reviews and also current works under way.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: The graphical results were generated following the method described in this contribution. The codes can be asked available from corresponding author HTB upon reasonable request.]

Change history

  • 12 June 2021

    The original online version of this article was revised: Reference 11 was not displayed correctly. It should be: E. Ley-Koo, A. G\’{o}ngora, and H. Torres-Bustamante. Spherical symmetry breaking in electric, magnetic and toroidal multipole moment radiations in spherical toroidal resonant cavities and optimum-efficiency antennas. Revista Mexicana de F{\’{\i}}sica, 67(2):174-179 (2021).

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Acknowledgements

The Authors ELK and HTB gratefully thank the partial financial support provided by Consejo Nacional de Ciencia y Tecnología, SNI 1976 and Becas Nacionales 793451, in this work. HTB also acknowledges financial support provided by UNAM-PAPIIT, project IN111820.

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Authors and Affiliations

  1. Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364, 01000, Ciudad de México, México

    Eugenio Ley-Koo & Humberto Torres-Bustamante

Authors
  1. Eugenio Ley-Koo
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  2. Humberto Torres-Bustamante
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Contributions

Both ELK and HTB contributed equally as co-authors.

Corresponding author

Correspondence to Humberto Torres-Bustamante.

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Ley-Koo, E., Torres-Bustamante, H. Confinement in spherical and cylindrical toroids: A—Electrons in quantum dots B—Electromagnetic multipole sources and fields. Eur. Phys. J. D 75, 120 (2021). https://doi.org/10.1140/epjd/s10053-021-00131-6

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  • DOI: https://doi.org/10.1140/epjd/s10053-021-00131-6

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