Fourth order perturbative expansion for the Casimir energy with a slightly deformed plate

We apply a perturbative approach to evaluate the Casimir energy for a massless real scalar field in 3+1 dimensions, subject to Dirichlet boundary conditions on two surfaces. One of the surfaces is assumed to be flat, while the other corresponds to a small deformation, described by a single function...

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Autor principal: Fosco, César Daniel
Otros Autores: Lombardo, F.C, Mazzitelli, F.D
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 2012
Acceso en línea:Registro en Scopus
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Registro en la Biblioteca Digital
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100 1 |a Fosco, César Daniel 
245 1 0 |a Fourth order perturbative expansion for the Casimir energy with a slightly deformed plate 
260 |c 2012 
270 1 0 |m Fosco, C.D.; Centro Atómico Bariloche, Comisión Nacional de Energía Atómica, R8402AGP Bariloche, Argentina 
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504 |a Milton, K.A., (2001) The Casimir Effect: Physical Manifestations of the Zero-Point Energy, , World Scientific, Singapore 
504 |a 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 
504 |a Lamoreaux, S.K., (2005) Rep. Prog. Phys., 68, p. 201. , RPPHAG 0034-4885 10.1088/0034-4885/68/1/R04 
504 |a Bordag, M., Klimchitskaya, G.L., Mohideen, U., Mostepanenko, V.M., (2009) Advances in the Casimir Effect, , Oxford University Press, Oxford 
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504 |a Rodrigues, R.B., Maia Neto, P.A., Lambrecht, A., Reynaud, S., (2006) Phys. Rev. Lett., 96, p. 100402. , and, PRLTAO 0031-9007 10.1103/PhysRevLett.96.100402 
504 |a Lambrecht, A., Maia Neto, P.A., Reynaud, S., The Casimir effect within scattering theory (2006) New Journal of Physics, 8, p. 243. , http://ej.iop.org/links/rEd7yXPwj/8jfDVSNi2xGq4pbBav5vpA/njp6_10_243.pdf, DOI 10.1088/1367-2630/8/10/243, PII S1367263006256672 
504 |a Wu, H.Y., Schaden, M., (2012) Phys. Rev. D, 85, p. 045008. , PRVDAQ 1550-7998 10.1103/PhysRevD.85.045008 
504 |a Cavero-Pelaez, I., Milton, K.A., Parashar, P., Shajesh, K.V., (2008) Phys. Rev. D, 78, p. 065018. , PRVDAQ 1550-7998 10.1103/PhysRevD.78.065018 
504 |a Fosco, C.D., Lombardo, F.C., Mazzitelli, F.D., (2011) Phys. Rev. D, 84, p. 105031. , PRVDAQ 1550-7998 10.1103/PhysRevD.84.105031 
504 |a Fosco, C.D., Lombardo, F.C., Mazzitelli, F.D., (2012) Phys. Rev. D, 85, p. 125037. , PRVDAQ 1550-7998 10.1103/PhysRevD.85.125037 
504 |a Bimonte, G., Emig, T., Jaffe, R.L., Kardar, M., (2012) Europhys. Lett., 97, p. 50001. , see also, , EULEEJ 0295-5075 10.1209/0295-5075/97/50001 
504 |a Fosco, C.D., Lombardo, F.C., Mazzitelli, F.D., (2012) Phys. Rev. D, 86, p. 045021. , PRVDAQ 1550-7998 10.1103/PhysRevD.86.045021 
506 |2 openaire  |e Política editorial 
520 3 |a We apply a perturbative approach to evaluate the Casimir energy for a massless real scalar field in 3+1 dimensions, subject to Dirichlet boundary conditions on two surfaces. One of the surfaces is assumed to be flat, while the other corresponds to a small deformation, described by a single function η, of a flat mirror. The perturbative expansion is carried out up to the fourth order in the deformation η, and the results are applied to the calculation of the Casimir energy for corrugated mirrors in front of a plane. We also reconsider the proximity force approximation within the context of this expansion. © 2012 American Physical Society.  |l eng 
593 |a Centro Atómico Bariloche, Comisión Nacional de Energía Atómica, R8402AGP Bariloche, Argentina 
593 |a Instituto Balseiro, Universidad Nacional de Cuyo, R8402AGP Bariloche, Argentina 
593 |a Departamento de Física Juan José Giambiagi, IFIBA CONICET-UBA, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina 
700 1 |a Lombardo, F.C. 
700 1 |a Mazzitelli, F.D. 
773 0 |d 2012  |g v. 86  |k n. 12  |p Phys Rev D Part Fields Gravit Cosmol  |x 15507998  |t Physical Review D - Particles, Fields, Gravitation and Cosmology 
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