Vacuum densities and zero-point energy for fields obeying Robin conditions on cylindrical surfaces

Physical Review D

Volumn 63, Issue 10, 2001, Pages

  Romeo, August ^a   Saharian, Aram A ^b  

^a INSTITUT DE CIÈNCIES DE L ESPAI CSIC IEEC   (Spain)

^b YEREVAN STATE UNIVERSITY   (Armenia)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; BOUNDARY LAYER; DENSITY; ENERGY TRANSFER; QUANTUM MECHANICS; STRESS; VACUUM;

EID: 0034899501     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.63.105019     Document Type: Article

References (25)

1. G. Plunien, B. Müller, and W. Greiner, Phys. Rep. 134, 87 (1986);
2. V.M. Mostepanenko and N.N. Trunov, The Casimir Effect and its Applications (Oxford University Press, Oxford, 1997);
3. K.A. Milton, "The Casimir Effect: Physical Manifestations of the Zero-Point Energy," hep-th/9901011; "Dimensional and Dynamical Aspects of the Casimir Effect: Understanding the Reality and Significance of Vacuum Energy," hep-th/0009173.
4. J. Ambjorn and S. Wolfram/Ann. Phys. (N.Y.) 147,33 (1983).
5. I. G. Moss, Class. Quantum Grav. 6, 759 (1989).
6. G. Esposito, A. Yu. Kamenshchik, and G. Polifrone, Euclidean Quantum Gravity on Manifolds with Boundary (Kluwer, Dordrecht, 1997).
7. P. Fishbane, S. Gaziorovich, and P. Kauss, Phys. Rev. D 36, 251 (1987); 37, 2623 (1988).
8. B. M. Barbashov and V. V. Nesterenko, Introduction to the Relativistic String Theory (World Scientific, Singapore, 1990).
9. J. Ambjörn and S. Wolfram, Ann. Phys. (N.Y.) 147, 1 (1983).
10. L. L. De Raad, Jr. and K. A. Milton, Ann. Phys. (N.Y.) 136, 229 (1981).
11. P. Gosdzinsky and A. Romeo, Phys. Lett. B 441, 265 (1998).
12. K.A. Milton, A.V. Nesterenko, and V.V. Nesterenko, Phys. Rev. D 59, 105009 (1999).
13. A. A. Saharian, Izv. Akad. Nauk Arm. SSR, Fiz. 23, 130 (1988) [Sov. J. Contemp. Phys. 23, 14 (1988)].
14. A. A. Saharian, Dokl. Akad. Nauk Arm. SSR 86, 112 (1988).
15. A. A. Saharian, Izv. Akad. Nauk Arm. SSR. Matematika 22, 166 (1987) [Sov. J. Contemp. Math. Analysis 22, 70 (1987)];
16. A. A. Saharian, "The generalized Abel-Plana formula. Applications to Bessel functions and Casimir effect," Report No. IC/2000/14, hep-th/0002239.
17. D. Deutsch and P. Candelas, Phys. Rev. D 20, 3063 (1979).
18. A. Romeo and A. A. Saharian, "Casimir effect for scalar fields under Robin boundary conditions on plates," hep-th/0007242.
19. A. A. Saharian, Phys. Rev. D (to be published), hep-th/0012185.
20. N. D. Birrel and P. C. W. Davies, Quantum Fields in Curved Space (Cambridge University Press, Cambridge, England, 1982).
21. G. Kennedy, R. Critchley, and J. S. Dowker, Ann. Phys. (N.Y.) 125, 346 (1980).
22. Integrals and Series, Vol. 2: Special Functions, edited by A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev (Harwood Academic, Newark, NJ, 1986).
23. A. Romeo, Phys. Rev. D 52, 7308 (1995).
24. S. Leseduarte and A. Romeo, Ann. Phys. (N.Y.) 250, 448 (1996).
25. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (National Bureau of Standards, Washington, D.C., 1964).