Abstract:
We extend our previous work on a derivative expansion for the Casimir energy, to the case of the electromagnetic field coupled to two thin, imperfect mirrors. The latter are described by means of vacuum polarization tensors localized on the mirrors. We apply the results so obtained to compute the first correction to the proximity force approximation to the static Casimir effect. © 2012 American Physical Society.
Registro:
Documento: |
Artículo
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Título: | Derivative expansion of the electromagnetic Casimir energy for two thin mirrors |
Autor: | Fosco, C.D.; Lombardo, F.C.; Mazzitelli, F.D. |
Filiación: | Centro Atómico Bariloche, Comisión Nacional de Energía Atómica, R8402AGP Bariloche, Argentina Instituto Balseiro, Universidad Nacional de Cuyo, R8402AGP Bariloche, Argentina Departamento de Física Juan José Giambiagi, FCEyN UBA, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina
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Año: | 2012
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Volumen: | 85
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Número: | 12
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DOI: |
http://dx.doi.org/10.1103/PhysRevD.85.125037 |
Título revista: | Physical Review D - Particles, Fields, Gravitation and Cosmology
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Título revista abreviado: | Phys Rev D Part Fields Gravit Cosmol
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ISSN: | 15507998
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CODEN: | PRVDA
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v85_n12_p_Fosco |
Referencias:
- Milonni, P.W., (1994) The Quantum Vacuum, , Academic Press, San Diego
- Bordag, M., Mohideen, U., Mostepanenko, V.M., (2001) Phys. Rep., 353, p. 1. , PRPLCM 0370-1573 10.1016/S0370-1573(01)00015-1
- Milton, K.A., (2001) The Casimir Effect: Physical Manifestations of the Zero-Point Energy, , World Scientific, Singapore
- Reynaud, S., Lambrecht, A., Genet, C., Jaekel, M.-T., Quantum vacuum fluctuations (2001) Comptes Rendus de l'Academie des Sciences - Series IV: Physics, Astrophysics, 2 (9), pp. 1287-1298. , DOI 10.1016/S1296-2147(01)01270-7, PII S1296214701012707
- Milton, K.A., The Casimir effect: Recent controversies and progress (2004) Journal of Physics A: Mathematical and General, 37 (38), pp. R209-R277. , DOI 10.1088/0305-4470/37/38/R01, PII S0305447004819723
- Lamoreaux, S.K., (2005) Rep. Prog. Phys., 68, p. 201. , RPPHAG 0034-4885 10.1088/0034-4885/68/1/R04
- Bordag, M., Klimchitskaya, G.L., Mohideen, U., Mostepanenko, V.M., (2009) Advances in the Casimir Effect, , Oxford University Press, Oxford
- Derjaguin, B.V., Abrikosova, I.I., (1957) Sov. Phys. JETP, 3, p. 819. , SPHJAR 0038-5646
- Derjaguin, B.V., (1960) Sci. Am., 203, p. 47. , SCAMAC 0036-8733 10.1038/scientificamerican0760-47
- Blocki, J., Randrup, J., Swiatecki, W.J., Tsang, C.F., (1977) Ann. Phys. (Leipzig), 105, p. 427. , ANPYA2 0003-4916 10.1016/0003-4916(77)90249-4
- Fosco, C.D., Lombardo, F.C., Mazzitelli, F.D., arXiv:1201.4783; Fosco, C.D., Lombardo, F.C., Mazzitelli, F.D., (2011) Phys. Rev. D, 84, p. 105031. , PRVDAQ 1550-7998 10.1103/PhysRevD.84.105031
- Bimonte, G., Emig, T., Jaffe, R.L., Kardar, M., (2012) Europhys. Lett., 97, p. 50001. , EULEEJ 0295-5075 10.1209/0295-5075/97/50001
- Bordag, M., Casimir effect for a sphere and a cylinder in front of a plane and corrections to the proximity force theorem (2006) Physical Review D - Particles, Fields, Gravitation and Cosmology, 73 (12), p. 125018. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevD.73.125018&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevD.73.125018
- Teo, L.P., Bordag, M., Nikolaev, V., (2011) Phys. Rev. D, 84, p. 125037. , PRVDAQ 1550-7998 10.1103/PhysRevD.84.125037
- Bimonte, G., Emig, T., Kardar, M., (2012) Appl. Phys. Lett., 100, p. 074110. , APPLAB 0003-6951 10.1063/1.3686903
- Bordag, M., Hennig, D., Robaschik, D., (1992) J. Phys. A, 25, p. 4483. , JPHAC5 0305-4470 10.1088/0305-4470/25/16/023
- Milton, K.A., Casimir energies and pressures for -function potentials (2004) Journal of Physics A: Mathematical and General, 37 (24), pp. 6391-6406. , DOI 10.1088/0305-4470/37/24/014, PII S0305447004743991
- Bordag, M., The Casimir effect for thin plasma sheets and the role of the surface plasmons (2006) Journal of Physics A: Mathematical and General, 39 (21), pp. 6173-6185. , DOI 10.1088/0305-4470/39/21/S08, PII S0305447006134228
- Bordag, M., (2007) Phys. Rev. D, 76, p. 065011. , PRVDAQ 1550-7998 10.1103/PhysRevD.76.065011
- Bordag, M., Fialkovsky, I.V., Gitman, D.M., Vassilevich, D.V., (2009) Phys. Rev. B, 80, p. 245406. , PRBMDO 1098-0121 10.1103/PhysRevB.80.245406
- Fosco, C.D., Lombardo, F.C., Mazzitelli, F.D., (2011) Phys. Rev. D, 84, p. 025011. , PRVDAQ 1550-7998 10.1103/PhysRevD.84.025011
- Emig, T., Hanke, A., Golestanian, R., Kardar, M., (2003) Phys. Rev. A, 67, p. 022114. , PLRAAN 1050-2947 10.1103/PhysRevA.67.022114
- See K.A. Milton, P. Parashar, J. Wagner, and K.V. Shajesh, arXiv:0909.0977, where this factor has been omitted. While correct from a mathematical point of view, such omission produces a discontinuity in the normal derivative of the field that depends explicitly on the position on the surface. In other words, it describes a surface that has a particular non-homogeneous interaction with the scalar field;; Milton, K.A., Parashar, P., Wagner, J., Shajesh, K.V., arXiv:0909.0977; Barton, G., Casimir effects for a flat plasma sheet: I. Energies (2005) Journal of Physics A: Mathematical and General, 38 (13), pp. 2997-3019. , DOI 10.1088/0305-4470/38/13/013
- Bordag, M., Reconsidering the quantization of electrodynamics with boundary conditions and some measurable consequences (2004) Physical Review D, 70 (8), p. 085010. , DOI 10.1103/PhysRevD.70.085010
- Fosco, C.D., Lombardo, F.C., Mazzitelli, F.D., (2008) Phys. Lett. B, 669, p. 371. , PYLBAJ 0370-2693 10.1016/j.physletb.2008.10.004
Citas:
---------- APA ----------
Fosco, C.D., Lombardo, F.C. & Mazzitelli, F.D.
(2012)
. Derivative expansion of the electromagnetic Casimir energy for two thin mirrors. Physical Review D - Particles, Fields, Gravitation and Cosmology, 85(12).
http://dx.doi.org/10.1103/PhysRevD.85.125037---------- CHICAGO ----------
Fosco, C.D., Lombardo, F.C., Mazzitelli, F.D.
"Derivative expansion of the electromagnetic Casimir energy for two thin mirrors"
. Physical Review D - Particles, Fields, Gravitation and Cosmology 85, no. 12
(2012).
http://dx.doi.org/10.1103/PhysRevD.85.125037---------- MLA ----------
Fosco, C.D., Lombardo, F.C., Mazzitelli, F.D.
"Derivative expansion of the electromagnetic Casimir energy for two thin mirrors"
. Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 85, no. 12, 2012.
http://dx.doi.org/10.1103/PhysRevD.85.125037---------- VANCOUVER ----------
Fosco, C.D., Lombardo, F.C., Mazzitelli, F.D. Derivative expansion of the electromagnetic Casimir energy for two thin mirrors. Phys Rev D Part Fields Gravit Cosmol. 2012;85(12).
http://dx.doi.org/10.1103/PhysRevD.85.125037