Casimir effects for a flat plasma sheet: I. Energies

Barton, G.

doi:10.1088/0305-4470/38/13/013

Cited by 110 publications

(116 citation statements)

References 23 publications

Supporting

Mentioning

113

Contrasting

Order By: Relevance

“…10,11,12,13 There the charges in the conducting medium are quantized as a separate physical system interacting nonlinearly with the quantized field. Here we prefer to remain within the more elementary framework of linear quantum field theory, at the cost of lesser empirical relevance, in hopes of casting light on the original hard-boundary theory -perhaps salvaging it in some way.…”

Section: Precursorsmentioning

confidence: 99%

Energy Density and Pressure in Power-Wall Models

Fulling

Milton

Wagner

2012

Int. J. Mod. Phys. Conf. Ser.

View full text Add to dashboard Cite

A finite ultraviolet cutoff near a reflecting boundary yields a stress tensor that violates the basic energy-pressure relation. Therefore, a "soft" wall described by a power-law potential, which needs no ad hoc cutoff, is being investigated by the collaboration centered at Texas A&M University and the University of Oklahoma. Progress is reported here.Keywords: vacuum energy; stress tensor; boundary; soft wall. PACS numbers: 03.70.+k, 11.10.Gh Hard Walls: The Pressure Paradox Basic formalism and empty spaceWe model the electromagnetic vacuum-energy problem by a massless scalar field in three space dimensions, subjected to the Dirichlet boundary condition on the "conducting" boundaries. The vacuum energy can be calculated from a Green function, such as the "cylinder kernel", 1,2,3where the φ n are the normalized eigenfunctions with frequencies ω n . The classical formulas for the components of the vacuum expectation value of the stress-energy

show abstract

Section: Precursorsmentioning

confidence: 99%

Energy Density and Pressure in Power-Wall Models

Fulling

Milton

Wagner

2012

Int. J. Mod. Phys. Conf. Ser.

View full text Add to dashboard Cite

show abstract

“…In the framework of the hydrodynamic model of the electronic structure of graphene they can be presented in the form [31][32][33][34][35] …”

Section: Two Models For Interaction Of Atoms With Graphenementioning

confidence: 99%

Comparison of hydrodynamic and Dirac models of dispersion interaction between graphene and H,He∗, or Na atoms

et al. 2010

View full text Add to dashboard Cite

The van der Waals and Casimir-Polder interaction of different atoms with graphene is investigated using the Dirac model which assumes that the energy of quasiparticles is linear with respect to the momentum. The obtained results for the van der Waals coefficients of hydrogen atoms and molecules and atoms of metastable He * and Na as a function of separation are compared with respective results found using the hydrodynamic model of graphene. It is shown that, regardless of the value of the gap parameter, the Dirac model leads to much smaller values of the van der Waals coefficients than the hydrodynamic model. The experiment on quantum reflection of metastable He * and Na atoms on graphene is proposed which is capable to discriminate between the two models of the electronic structure of graphene. In this respect the parameters of the phenomenological potential for both these atoms interacting with graphene described by different models are determined.

show abstract

“…1 and we proceed as follows. We consider a free scalar field in the presence of a dielectric halfspace at x 1 > a or a flat plasma shell at x 1 = a given by the action S and the functional integral (9) without the functional delta function as the initial theory. Further we consider this initial theory to interact with a cylindrical plasma shell S with radius R. This interaction is incorporated in (9) as matching conditions (1) using the functional delta function.…”

Section: Dielectric Bodymentioning

confidence: 99%

“…The graphene sheets are described by the two dimensional plasma shell model used in [8,9]. For thin shells this model is more appropriate because the Casimir or van der Waals forces vanish if the thickness of a dielectric layer goes to zero.…”

Section: Introductionmentioning

confidence: 99%