2002/08/26 by J. C. da Silva, J.C. da Silva, F. C. Khanna +2 · 31 citations
Engineering · Mathematics · Physics and Astronomy · #Bogoliubov transformation #Casimir effect #Classical mechanics #Electromagnetic field #Field (mathematics) #Formalism (music) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Position and momentum space #Quantum Electrodynamics and Casimir Effect #Quantum electrodynamics #Quantum field theory #Quantum mechanics #Scalar field #Thermal Radiation and Cooling Technologies #Transformation (genetics) #Vacuum energy #hep-th
paper · pdf · open access · doi:10.1103/physreva.66.052101
published in Physical Review A 66(5) (American Physical Society) · 20 pages, latex(article)
arxiv created 2002/08/26 · openalex publication_date 2002/11/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The Bogoliubov transformation in thermofield dynamics, an operator formalism for the finite-temperature quantum field theory, is generalized to describe a field in arbitrary confined regions of space and time. Starting with the scalar field, the approach is extended to the electromagnetic field and the energy-momentum tensor is written via the Bogoliubov transformation. In this context, the Casimir effect is calculated for zero and nonzero temperature, and therefore it can be considered as a vacuum condensation effect of the electromagnetic field. This aspect opens an interesting perspective for using this procedure as an effective scheme for calculations in the studies of confined fields, including interacting fields.