Authors
Abstract
In this study, thermal Casimir-Polder potential is calculated for an atom in the presence of a dielectric sphere using the formula given in terms of the Green’s function. Then, the limiting cases of large and small sphere are investigated. In the limiting case of a large sphere, the formula of thermal potential for an excited atom in the presence of a dielectric half-space and then a perfectly conducting plate is obtained. The limiting case of the small sphere together with the proper replacement of its electric response by the polarizability of a second atom results in the thermal van der Waals interaction potential between the two atoms.
Keywords
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15. M Abramowitz and I. A. Stegun, “Pocketbook of Mathematical Functions”, Dover, New York, (1973).
16. M R Spiegel, “Mathematical Handbook of Formulas and Tables”, McGraw-Hill New York (1968).
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18. H Safari and M R Karimpour, Phys. Rev. Lett. 114 (2015) 013201.
19. S Esfandiarpour et al., J. Phys. B: At. Mol. Opt. Phys. in press.
2. E Rabinowicz, “Friction and Wear of Materials”, John Wiley & Sons, Inc. New York (1965).
3. B W Ninham and V Yaminsky, Langmuir 17 (1997) 2097.
4. F London, Z Phys. 63 (1930) 245; F. London, Z. Phys. Chem. Abt. B 11 (1930) 222.
5. H B G Casimir and D Polder, Phys. Rev. 73 (1948) 360.
6. S Y Buhmann, et al., Opt. B: Quantum Semiclass. Opt. 6, (2004) 127.
7. S Y Buhmann, et al., Phys, Rev. A 70 (2004) 052117.
8. Y Koohsarian and A Shirzad, Iran. J. Phys. Res. 16 3 (2016) 107.
9. H Wennerström, J Daicic, and B W Ninham, Phys. Rev. A 60 (1999) 2581.
10. S Å Ellingsen, et al., Phys, Rev. A 79 (2009) 052903.
11. S Y Buhmann, “Dispersion Forces II”, Springer, London (2012).
12. S Y Buhmann, D T Butcher, and S Scheel, New J. Phys. 14 (2012) 083034.
13. H Safari, D G Welsch, H T Dung, and S Y Buhmann, Phys. Rev. A 77 (2008) 053824.
14. S Y Buhmann, H T Dung, and D G Welsch, J. Opt. B: Quant. Semiclass. Opt. 6 (2004) 127.
15. M Abramowitz and I. A. Stegun, “Pocketbook of Mathematical Functions”, Dover, New York, (1973).
16. M R Spiegel, “Mathematical Handbook of Formulas and Tables”, McGraw-Hill New York (1968).
17. J D Jackson, “Classical Electrodynamics”, 3rd Ed., John Wiley & Sons, Inc. New York (1999).
18. H Safari and M R Karimpour, Phys. Rev. Lett. 114 (2015) 013201.
19. S Esfandiarpour et al., J. Phys. B: At. Mol. Opt. Phys. in press.
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