The vacuum energy for two cylinders with one increasing in size

Journal of Physics A: Mathematical and Theoretical

Volumn 42, Issue 41, 2009, Pages

  Bordag, M ^a,b   Nikolaev, V ^a  

^a HALMSTAD UNIVERSITY   (Sweden)

^b UNIVERSITY OF LEIPZIG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 70449562843     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/42/41/415203     Document Type: Article

References (25)

1. Bordag M, Klimchitskaya G L, Mohideen U and Mostepanenko V M 2009 Advances in the Casimir Effect (Oxford: Oxford University Press)
2. Bulgac A, Magierski P and Wirzba A 2006 Scalar Casimir effect between Dirichlet spheres or a plate and a sphere Phys. Rev. D 73 025007
3. Emig T, Jaffe R L, Kardar M and Scardicchio A 2006 Casimir interaction between a plate and a cylinder Phys. Rev. Lett. 96 080403
4. Kenneth O and Klich I 2006 Opposites attract-a theorem about the Casimir force Phys. Rev. Lett. 97 160401
5. Renne M J 1971 Microscpic theory of retarded van der Waals forces between macroscopic dielectric bodies Physica 56 125-37
6. Bordag M, Robaschik D and Wieczorek E 1985 Quantum field theoretic treatment of the Casimir effect Ann. Phys. 165 192
7. Li H and Kardar M 1992 Fluctuation-induced forces between manifolds immersed in correlated fluids Phys. Rev. A 46 6490-500
8. Milton K A, Parashar P and Wagner J 2008 From multiple scattering to van der Waals interactions: exact results for eccentric cylinders
9. Milton K A and Wagner J 2008 Exact Casimir interaction between semitransparent spheres and cylinders Phys. Rev. D 77 045005
10. Cavero-Pelaez I, Milton K A and Kirsten K 2007 Local and global Casimir energies for a semitransparent cylindrical shell J. Phys. A: Math. Theor. 40 3607-32
11. Romeo A and Milton K A 2005 Casimir energy for a purely dielectric cylinder by the mode summation method Phys. Lett. B 621 309-17
12. Rahi T, Emig T, Jaffe R and Kardar M 2008 Nonmonotonic effects of parallel sidewalls on Casimir forces between cylinders Phys. Rev. A 78 012104
13. Rahi T, Rodriguez A, Emig T, Jaffe R, Johnson S and Kardar M 2008 Nonmonotonic effects of parallel sidewalls on Casimir forces between cylinders Phys. Rev. A 77 030101
14. Mazzitelli F D, Dalvit F C and a dn Lombardo D R A 2006 Exact zero-point interaction energy between cylinders New J. Phys. 8 240
15. Dalvit D A R, Lombardo F C, Mazzitelli F D and Onofrio R 2006 Exact Casimir interaction between eccentric cylinders Phys. Rev. A 74 020101
16. Bordag M 2006 The Casimir effect for a sphere and a cylinder in front of plane and corrections to the proximity force theorem Phys. Rev. D 73 125018
17. Bordag M and Nikolaev V 2008 Casimir force for a sphere in front of a plane beyond proximity force approximation J. Phys. A: Math. Theor. 41 164001
18. Gies H, Langfeld K and Moyaerts L 2003 Casimir effect on the worldline J. High Energy Phys. JHEP06(2003)018
19. Gies H and Klingmuller K 2006 Quantum energies with worldline numerics J. Phys. A: Math. Gen. 39 6415-22
20. Gies H and Klingmueller K 2006 Worldline algorithms for Casimir configurations Phys. Rev. D 74 045002
21. Emig T 2008 Fluctuation-induced quantum interactions between compact objects and a plane mirror J. Stat. Mech. 08 P04007
22. Lombardo F C, Mazzitelli F D and Villar P I 2008 Numerical evaluation of the Casimir interaction between cylinders Phys. Rev. D 78 085009
23. Brown-Hayes M, Dalvit D A R, Mazzitelli F D, Kim W-J and Onofrio R 2005 Towards a precision measurement of the Casimir force in a cylinder plane geometry Phys. Rev. A 72 052102
24. Gradshteyn I S and Ryzhik I M 1994 Table of Integrals, Series and Products (New York: Academic)
25. Abramowitz M and Stegun I A 1972 Handbook of Mathematical Functions: with Formulas, Graphs and Mathematical Tables (New York: Dover)