Navegar

Colección

Datos Estadísticas

Artículo

La versión final de este artículo es de uso interno de la institución.
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

We provide a quantum field theory derivation of the Lifshitz formula for the Casimir force due to a fluctuating real scalar field in d + 1 dimensions. The field is coupled to two imperfect, thick, plane mirrors, which are modeled by background potentials localized on their positions. The derivation proceeds from the calculation of the vacuum energy in the Euclidean version of the system, reducing the problem to the evaluation of a functional determinant. The latter is written, via Gelfand-Yagloms formula, in terms of functions depending on the structure of the potential describing each mirror; those functions encode the properties which are relevant to the Casimir force and are the reflection coefficients evaluated at imaginary frequencies. © 2011 IOP Publishing Ltd.

Registro:

Documento: Artículo
Título:Lifshitz formula for the Casimir force and the GelfandYaglom theorem
Autor:Ttira, C.C.; Fosco, C.D.; Mazzitelli, F.D.
Filiación:Instituto de Fisica, UFRJ, CP 68528, 21941-972 Rio de Janeiro, RJ, Brazil
Instituto Balseiro, Universidad Nacional de Cuyo, R8402AGP Bariloche, Argentina
Centro Atómico Bariloche, Comisión Nacional de Energía Atómica, R8402AGP Bariloche, Argentina
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón 1, 1428 Buenos Aires, Argentina
Año:2011
Volumen:44
Número:46
DOI: http://dx.doi.org/10.1088/1751-8113/44/46/465403
Título revista:Journal of Physics A: Mathematical and Theoretical
Título revista abreviado:J. Phys. Math. Theor.
ISSN:17518113
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17518113_v44_n46_p_Ttira

Referencias:

  • Casimir, H.B.G., (1948) Indag. Math., 10, p. 261
  • Casimir, H.B.G., (1948) Proc K. Ned. Akad. Wet., 51, p. 793
  • Casimir, H.B.G., (1987) Front. Phys., 65, p. 342
  • Lifshitz, E.M., (1956) Sov. Phys.JETP, 2, p. 73
  • Milonni, P.W., (1994) The Quantum Vacuum, , (San Diego, CA: Academic)
  • Bordag, M., Mohideen, U., Mostepanenko, V.M., (2001) Phys. Rep., 353, p. 1
  • Milton, K.A., (2001) The Casimir Effect: Physical Manifestations of the ZeroPoint Energy, , (Singapore: World Scientific)
  • Reynaud, S., (2001) C. R. Acad. Sci., 4 (2), p. 1287. , Paris
  • Milton, K.A., (2004) J. Phys. A: Math. Gen., 37, pp. R209
  • Lamoreaux, S.K., (2005) Rep. Prog. Phys., 68, p. 201
  • Bordag, M., Klimchitskaya, G.L., Mohideen, U., Mostepanenko, V.M., (2009) Advances in the Casimir Effect, , (Oxford: Oxford University Press)
  • Philbin, T.G., (2010) New J. Phys., 12, p. 123008
  • Genet, C., Lambrecht, A., Reynaud, S., (2003) Phys. Rev. A, 67, p. 043811
  • Kupiszewska, D., (1992) Phys. Rev. A, 46, p. 2286
  • Lombardo, F.C., Lopez, A., Rubio, Mazzitelli, F.D., (2011), arXiv:1107.6030v1; Bordag, M., (1995) J. Phys. A: Math. Gen., 28, p. 755
  • Graham, N., Jaffe, R.L., Khemani, V., Quandt, M., Schroeder, O., Weigel, H., (2004) Nucl. Phys. B, 677, p. 379
  • Fosco, C.D., Lombardo, F.C., Mazzitelli, F.D., (2008) Phys. Rev. D, 77, p. 085018
  • Fosco, C.D., Lombardo, F.C., Mazzitelli, F.D., (2008) Phys. Lett. B, 669, p. 371
  • Gelfand, I.M., Yaglom, A.M., (1960) J. Math. Phys., 1, p. 48
  • Dunne, G.V., (2008) J. Phys. A: Math. Theor., 41, p. 304006
  • Kirsten, K., McKane, A.J., (2003) Ann. Phys., NY, 308, p. 502
  • Kirsten, K., McKane, A.J., (2004) J. Phys. A: Math. Gen., 37, p. 4649
  • Fucci, G., Kirsten, K., Morales, P., (2011) Cosmology, Quantum Vacuum and Zeta Functions, 137, pp. 313-322. , Springer Proceedings in Physics vol 137) ed S Odintsov, D Sez-Gmez and S Xamb (Berlin: Springer)
  • Fialkovsky, I.V., Markov, V.N., Pismak, Y.M., (2011) J. Phys. A: Math. Theor., 43
  • Milton, K.A., (2004) J. Phys. A: Math. Gen., 37, p. 6391

Citas:

---------- APA ----------
Ttira, C.C., Fosco, C.D. & Mazzitelli, F.D. (2011) . Lifshitz formula for the Casimir force and the GelfandYaglom theorem. Journal of Physics A: Mathematical and Theoretical, 44(46).
http://dx.doi.org/10.1088/1751-8113/44/46/465403
---------- CHICAGO ----------
Ttira, C.C., Fosco, C.D., Mazzitelli, F.D. "Lifshitz formula for the Casimir force and the GelfandYaglom theorem" . Journal of Physics A: Mathematical and Theoretical 44, no. 46 (2011).
http://dx.doi.org/10.1088/1751-8113/44/46/465403
---------- MLA ----------
Ttira, C.C., Fosco, C.D., Mazzitelli, F.D. "Lifshitz formula for the Casimir force and the GelfandYaglom theorem" . Journal of Physics A: Mathematical and Theoretical, vol. 44, no. 46, 2011.
http://dx.doi.org/10.1088/1751-8113/44/46/465403
---------- VANCOUVER ----------
Ttira, C.C., Fosco, C.D., Mazzitelli, F.D. Lifshitz formula for the Casimir force and the GelfandYaglom theorem. J. Phys. Math. Theor. 2011;44(46).
http://dx.doi.org/10.1088/1751-8113/44/46/465403