Article citationsMore>>

I. M. Gelfand and A. M. Yaglom, “Integration in Func tional Spaces and It Applications in Quantum Physics,” Journal of Mathematical Physics, Vol. 1, No. 1, 1960, pp. 48-69. doi:10.1063/1.1703636

has been cited by the following article:

• TITLE: Electromagnetic Lifshitz Formula for Small-Width Mirrors from Functional Determinants

  AUTHORS: César D. Fosco, María L. Remaggi

  KEYWORDS: Gelfand-Yaglom; Casimir; Vacuum

  JOURNAL NAME: Applied Mathematics, Vol.4 No.8, July 30, 2013

  ABSTRACT: We extend a recently proposed Quantum Field Theory (QFT) approach to the Lifshitz formula, originally implemented for a real scalar field, to the case of a fluctuating vacuum Electromagnetic (EM) field, coupled to two flat, parallel mirrors. The general result is presented in terms of the invariants of the vacuum polarization tensors due to the media on each mirror. We consider mirrors that have small widths, with the zero-width limit as a particular case. We apply the latter to models involving graphene sheets, obtaining results which are consistent with previous ones.