NDLI: Casimir Effect in Hemisphere Capped Tubes

Content Provider	Springer Nature Link
Author	Bezerra de Mello, E. R. Saharian, A. A.
Copyright Year	2015
Abstract	In this paper we investigate the vacuum densities for a massive scalar field with general curvature coupling in background of a (2 + 1)-dimensional spacetime corresponding to a cylindrical tube with a hemispherical cap. A complete set of mode functions is constructed and the positive-frequency Wightman function is evaluated for both the cylindrical and hemispherical subspaces. On the base of this, the vacuum expectation values of the field squared and energy-momentum tensor are investigated. The mean field squared and the normal stress are finite on the boundary separating two subspaces, whereas the energy density and the parallel stress diverge as the inverse power of the distance from the boundary. For a conformally coupled field, the vacuum energy density is negative on the cylindrical part of the space. On the hemisphere, it is negative near the top and positive close to the boundary. In the case of minimal coupling the energy density on the cup is negative. On the tube it is positive near the boundary and negative at large distances. Though the geometries of the subspaces are different, the Casimir pressures on the separate sides of the boundary are equal and the net Casimir force vanishes. The results obtained may be applied to capped carbon nanotubes described by an effective field theory in the long-wavelength approximation.
Starting Page	1167
Ending Page	1191
Page Count	25
File Format	PDF
ISSN	00207748
Journal	International Journal of Theoretical Physics
Volume Number	55
Issue Number	2
e-ISSN	15729575
Language	English
Publisher	Springer US
Publisher Date	2015-08-13
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Casimir effect Curved spacetime Non-trivial topology Physics Quantum Physics Elementary Particles, Quantum Field Theory Theoretical, Mathematical and Computational Physics
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy Mathematics

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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