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Casimir pressure renormalization by the method of efficient surface charges

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Abstract

The problem of regularization and renormalization of the Casimir pressure in a finite area with a smooth boundary is considered using the example of a real scalar field in the two-dimensional case. A procedure for the renormalization of boundary pressure using a certain modified area and a method for approximate calculation of the Green’s function and its derivatives with the use of efficient surface charges are proposed. For problems that allow an exact solution, it is shown that the method has high accuracy and computational efficiency.

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Authors and Affiliations

  1. Moscow State University, Moscow, 119991, Russia

    Yu. S. Voronina & P. K. Silaev

Authors
  1. Yu. S. Voronina
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  2. P. K. Silaev
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Additional information

Original Russian Text © Yu.S. Voronina, P.K. Silaev, 2010, published in Vestnik Moskovskogo Universiteta. Fizika, 2010, No. 5, pp. 19–25.

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Voronina, Y.S., Silaev, P.K. Casimir pressure renormalization by the method of efficient surface charges. Moscow Univ. Phys. 65, 351–358 (2010). https://doi.org/10.3103/S0027134910050048

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  • DOI: https://doi.org/10.3103/S0027134910050048

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