Research PapersNo Access

Casimir energy for perturbed surfaces of revolution

Pedro Morales-Almazan

Mathematics Department, The University of Texas at Austin, 2515 Speedway, Austin, TX 78712, USA

E-mail Address: pmorales@math.utexas.edu

https://doi.org/10.1142/S0217751X16500445Cited by:0 (Source: Crossref)

Abstract

In this paper, we explore the zeta function arising from a small perturbation on a surface of revolution and the effect of this on the functional determinant and on the change of the Casimir energy associated with the surface.

Keywords:

PACS: 02.30.Jr, 02.30.Mv, 11.15.Bt, 03.65.Db

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References

1. E. K. Abalo and K. A. Milton, Phys. Rev. D 82, 125007 (2010). Crossref, Web of Science, ADS, Google Scholar
2. E. K. Abalo et al., J. Phys. A: Math. Theor. 45, 425401 (2012). Crossref, Web of Science, ADS, Google Scholar
3. M. Bordag, G. L. Klimchitskaya, U. Mohideen and V. M. Mostepanenko, Advances in the Casimir Effect (Oxford University Press, Oxford, 2009). Crossref, Google Scholar
4. A. W. Bush, Perturbation Methods for Engineers and Scientists (CRC Press, 1992). Crossref, Google Scholar
5. H. B. G. Casimir, Proc. Kon. Nederland Akad. Wetensch. B 51, 793 (1948). Google Scholar
6. H. B. G. Casimir and D. Polder, Phys. Rev. 73, 360 (1948). Crossref, Web of Science, ADS, Google Scholar
7. J. S. Dowker and R. Critchley, Phys. Rev. D 13, 3224 (1976). Crossref, Web of Science, ADS, Google Scholar
8. L. Euler, Comment. Acad. Scie. Petrop. 9, 160 (1744). Google Scholar
9. L. Euler, Novi Comment. Acad. Scie. Petrop. 5, 205 (1760). Google Scholar
10. P. Gosdzinsky and A. Romeo, Phys. Lett. B 441, 265 (1998). Crossref, Web of Science, ADS, Google Scholar
11. G. H. Hardy and J. E. Littlewood, Acta Math. 41, 119 (1916). Crossref, Google Scholar
12. S. W. Hawking, Commun. Math. Phys. 55, 133 (1977). Crossref, Web of Science, ADS, Google Scholar
13. T. D. Jeffres, K. Kirsten and T. Lu, J. Phys. A: Math. Theor. 45, 345201 (2012). Crossref, Web of Science, Google Scholar
14. T. D. Jeffres, K. Kirsten and T. Lu, J. Phys. A: Math. Theor. 48, 145204 (2015). Crossref, Web of Science, ADS, Google Scholar
15. O. Kenneth, I. Klich, A. Mann and M. Revzen, Phys. Rev. Lett. 89, 033001 (2002). Crossref, Web of Science, ADS, Google Scholar
16. K. A. Milton, The Casimir Effect: Physical Manifestations of Zero-point Energy (World Scientific, 2001). Link, Google Scholar
17. K. A. Milton et al., J. Phys. A: Math. Theor. 45, 374006 (2012). Crossref, Web of Science, Google Scholar
18. K. Kirsten, Spectral Functions in Mathematics and Physics (CRC Press, 2001). Crossref, Google Scholar
19. K. Kirsten and F. Williams, A Window into Zeta and Modular Physics (Cambridge University Press, 2010). Google Scholar
20. S. K. Lamoreaux, Phys. Rev. Lett. 78, 5 (1997). Crossref, Web of Science, ADS, Google Scholar
21. B. Riemann, Über die Anzahl der Primzahlen unter einer gegebenen Grösse (Monatsberichte der Berliner Akademie, 1859). Google Scholar
22. B. Shivamoggi, Perturbation Methods for Differential Equations, Vol. XIV (Birkhäuser Basel, 2003). Crossref, Google Scholar