# Generalized Lifshitz formula for a cylindrical plasma sheet in front of a plane beyond proximity force approximation

## Abstract

We consider the interaction of a cylindrical graphene sheet with a dielectric half space and with a flat graphene sheet by a generalization of the method of functional determinants. We confirm the proximity force approximation (PFA) for these configurations and calculate the first correction beyond PFA. This can be considered as a generalization of the Lifshitz formula to such configurations.

- Authors:

- University of Leipzig, Institute for Theoretical Physics Vor dem Hospitaltore 1, 04103 Leipzig (Germany)

- Publication Date:

- OSTI Identifier:
- 21020182

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.75.065003; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY; APPROXIMATIONS; CORRECTIONS; DIELECTRIC MATERIALS; PLASMA SHEET; PROXIMITY EFFECT; QUANTUM FIELD THEORY; SPACE

### Citation Formats

```
Bordag, M.
```*Generalized Lifshitz formula for a cylindrical plasma sheet in front of a plane beyond proximity force approximation*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.065003.

```
Bordag, M.
```*Generalized Lifshitz formula for a cylindrical plasma sheet in front of a plane beyond proximity force approximation*. United States. doi:10.1103/PHYSREVD.75.065003.

```
Bordag, M. Thu .
"Generalized Lifshitz formula for a cylindrical plasma sheet in front of a plane beyond proximity force approximation". United States.
doi:10.1103/PHYSREVD.75.065003.
```

```
@article{osti_21020182,
```

title = {Generalized Lifshitz formula for a cylindrical plasma sheet in front of a plane beyond proximity force approximation},

author = {Bordag, M.},

abstractNote = {We consider the interaction of a cylindrical graphene sheet with a dielectric half space and with a flat graphene sheet by a generalization of the method of functional determinants. We confirm the proximity force approximation (PFA) for these configurations and calculate the first correction beyond PFA. This can be considered as a generalization of the Lifshitz formula to such configurations.},

doi = {10.1103/PHYSREVD.75.065003},

journal = {Physical Review. D, Particles Fields},

number = 6,

volume = 75,

place = {United States},

year = {Thu Mar 15 00:00:00 EDT 2007},

month = {Thu Mar 15 00:00:00 EDT 2007}

}

Other availability

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.