Diagrammatic expansion of the Casimir energy in multiple reflections: Theory and applications
Journal Article
·
· Physical Review. D, Particles Fields
- Center for Theoretical Physics, and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)
We develop a diagrammatic representation of the Casimir energy of a multibody configuration. The diagrams represent multiple reflections between the objects and can be organized by a few simple rules. The lowest-order diagrams (or reflections) give the main contribution to the Casimir interaction which proves the usefulness of this expansion. Among some applications of this, we find analytical formulae describing the interaction between edges, i.e. semi-infinite plates, where we also give a first example of blocking in the context of the Casimir energy. We also find the interaction of edges with a needle and describe analytically a recent model of the repulsion due to the Casimir interaction.
- OSTI ID:
- 21513109
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 83, Issue 4; Other Information: DOI: 10.1103/PhysRevD.83.045004; (c) 2011 American Institute of Physics; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
Similar Records
Casimir-Polder repulsion near edges: Wedge apex and a screen with an aperture
Finite-temperature many-body perturbation theory for anharmonic vibrations: Recursions, algebraic reduction, second-quantized reduction, diagrammatic rules, linked-diagram theorem, finite-temperature self-consistent field, and general-order algorithm
Retarded Casimir-Polder force on an atom near reflecting microstructures
Journal Article
·
Wed Jun 15 00:00:00 EDT 2011
· Physical Review. A
·
OSTI ID:21513109
+3 more
Finite-temperature many-body perturbation theory for anharmonic vibrations: Recursions, algebraic reduction, second-quantized reduction, diagrammatic rules, linked-diagram theorem, finite-temperature self-consistent field, and general-order algorithm
Journal Article
·
Sun Jan 01 00:00:00 EST 2023
· The Journal of Chemical Physics
·
OSTI ID:21513109
Retarded Casimir-Polder force on an atom near reflecting microstructures
Journal Article
·
Wed Jul 15 00:00:00 EDT 2009
· Physical Review. A
·
OSTI ID:21513109