- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review D

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Casimir-Polder intermolecular forces in minimal length theories

O. Panella

  • INFN, Sezione di Perugia, Via A. Pascoli, I-06123, Perugia, Italy

PDF

Phys. Rev. D 76, 045012 – Published 24 August, 2007

DOI: https://doi.org/10.1103/PhysRevD.76.045012

Abstract

Generalized uncertainty relations are known to provide a minimal length ℏβ. The effect of such minimal length in the Casimir-Polder interactions between neutral atoms (molecules) is studied. The first order correction term in the minimal uncertainty parameter is derived and found to describe an attractive potential scaling as r−9, as opposed to the well-known r−7 long range retarded potential.

View figure in article

See Also

Casimir effect in minimal length theories based on a generalized uncertainty principle

A. M. Frassino and O. Panella
Phys. Rev. D 85, 045030 (2012)

Article Text

References (33)

  1. F. Wilczek, MIT internal note.
  2. H. B. G. Casimir, Proc. K. Ned. Akad. Wet. B51, 793 (1948).
  3. R. L. Jaffe, Phys. Rev. D 72, 021301(R) (2005); P. W. Milonni, Phys. Rev. A 25, 1315 (1982); J. Schwinger, Lett. Math. Phys. 1, 43 (1975); J. Dalibard, J. Dupont-Roc, and C. Cohen-Tannoudij, J. Phys. (Paris) 43, 1617 (1982).
  4. S. K. Lamoreaux, Phys. Rev. Lett. 78, 5 (1997).
  5. G. Bressi, G. Carugno, R. Onofrio, and G. Ruoso, Phys. Rev. Lett. 88, 041804 (2002).
  6. C. Braggio, G. Bressi, G. Carugno, C. Del Noce, G. Galeazzi, A. Lombardi, A. Palmieri, G. Ruoso, and D. Zanello, Europhys. Lett. 70(6), 754 (2005); W.-J. Kim, J. H. Brownell, and R. Onofrio, 78, 21002 (2007); Phys. Rev. Lett. 96, 200402 (2006); V. V. Dodonov and A. V. Dodonov, J. Phys. A 39, 6271 (2006).
  7. E. Buks and M. L. Roukes, Phys. Rev. B 63, 033402 (2001).
  8. H. B. Chan, V. A. Aksyuk, R. N. Kleiman, D. J. Bishop, and F. Capasso, Phys. Rev. Lett. 87, 211801 (2001).
  9. J. C. Long, H. W. Chan, and J. C. Price, Nucl. Phys. B539, 23 (1999).
  10. A. Salam and J. Strathdee, International Centre for Theoretical Physics Report No. IC/70/38 (1970); Symposium on the Last Decade in Particle Theory, Center for Particle Theory, University of Texas at Austin, USA, 1970 [Lett. Nuovo Cimento, 4S1, 101 (1970)].
  11. N. Arkani-Hamed, S. Dimopoulus, and G. R. Dvali, Phys. Lett. B 429, 263 (1998).
  12. S. Hossenfelder, Classical Quantum Gravity 23, 1815 (2006); S. Hossenfelder et al., Phys. Lett. B 575, 85 (2003); U. Harbach and S. Hossenfelder, 632, 379 (2006).
  13. Kh. Nouicer and M. Debbabi, Phys. Lett. A 361, 305 (2007); K. Srinivasan, L. Sriramkumar, and T. Padmanabhan, Phys. Rev. D 58, 044009 (1998); R. Casadio, A. Gruppuso, B. Harms, and O. Micu, 76, 025016 (2007).
  14. P. K. Townsend, Phys. Rev. D 15, 2795 (1977); D. Amati, M. Ciafaloni, and G. Veneziano, Phys. Lett. B 216, 41 (1989); K. Konishi, G. Paffuti, and P. Provero, 234, 276 (1990); M. Maggiore, 304, 65 (1993); 319, 83 (1993); Phys. Rev. D 49, 5182 (1994); L. J. Garay, Int. J. Mod. Phys. A 10, 145 (1995).
  15. A. Kempf, G. Mangano, and R. B. Mann, Phys. Rev. D 52, 1108 (1995).
  16. Kh. Nouicer, J. Phys. A 38, 10027 (2005).
  17. A. Kempf and G. Mangano, Phys. Rev. D 55, 7909 (1997).
  18. S. Detournay, C. Gabriel, and Ph. Spindel, Phys. Rev. D 66, 125004 (2002).
  19. C. Itzikson and J. B. Zuber, Quantum Field Theory (McGraw-Hill, New York, 1980), ISBN [Amazon][WorldCat], Chap. 3, pp. 127–128.
  20. V. B. Berestetskii, E. M. Lifshitz, and L. P. Pitaevskii, Course of Theoretical Physics (Paperback) (Butterworth-Heinemann, Oxford, 1982), 2nd ed., Vol. 4, Sec. 85, ISBN [Amazon][WorldCat].
  21. A. Smailagic and E. Spallucci, J. Phys. A 36, L517 (2003); 37, 7169 (2004).
  22. C. Quesne and V. M. Tkachtuk, J. Phys. A 39, 10909 (2006).
  23. Toshihiro Matsuo and Shibusa Yuuichirou, Mod. Phys. Lett. A 21, 1285 (2006).
  24. H. B. G. Casimir and D. Polder, Phys. Rev. 73, 360 (1948).
  25. C. I. Sukenik, M. G. Boshier, D. Cho, V. Sandoghdar, and E. A. Hinds, Phys. Rev. Lett. 70, 560 (1993).
  26. Peter H. G. M. van Blokland and J. Thedoor G. Overbeek, J. Chem. Soc., Faraday Trans. 1, 74, 2637 (1978) . The first experimental verification of the purely Casimir effect (in the plate-plate configuration) was reported in M. J. Sparnay, Physica (Amsterdam) 24, 751 (1958).
  27. D. M. Harber, J. M. Obrecht, J. M. McGuirk, and E. A. Cornell, Phys. Rev. A 72, 033610 (2005).
  28. R. Onofrio, New J. Phys. 8, 237 (2006).
  29. L. N. Chang, D. Minic, N. Okamura, and T. Takeuchi, Phys. Rev. D 65, 125027 (2002); S. Benczik, L. N. Chang, D. Minic, and T. Takeuchi, Phys. Rev. A 72, 012104 (2005); earlier estimates relative to the hydrogen atom had provided (Δx)min=ℏβ<10−2  fm; see F. Brau, J. Phys. A 32, 7691 (1999).
  30. F. Brau and F. Buisseret, Phys. Rev. D 74, 036002 (2006).
  31. V. V. Nesvizhevsky et al., Nature (London) 415, 297 (2002).
  32. V. V. Nesvizhevsky et al., Phys. Rev. D 67, 102002 (2003).
  33. V. V. Nesvizhevsky et al., Eur. Phys. J. C 40, 479 (2005).

Outline

Information

Phys. Rev. D 76, 045012– Published 24 August, 2007
  • Received 27 February 2007

© 2007 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation