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Vacuum fluctuations in charge–current uncertainty relations

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Journal of Russian Laser Research Aims and scope

Abstract

We complete and justify the Bohr and Rosenfeld’s extension of their seminal work on the measurability of the free electromagnetic-field components to their pioneering paper on the measurement of charge–current uncertainty relations and the quantum control of vacuum fluctuations. We also show that it is possible to complete the aforementioned article with pseudo-realistic graphics of the thought experiments they designed.

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References

  1. L. G. P. Saavedra, in: Quantum Information and Quantum Control Conference (Fields Institute and University of Toronto, Toronto, Canada, 19–23 July, 2004) [http://www.fields.utoronto.ca/programs/scientific/04-05/quantumIC/posters/index.html].

  2. L. G. P. Saavedra, in: The 9th International Conference on Squeezed States and Uncertainty Relations (Besan¸con, France, 2–6 May, 2005), Int. J. Mod. Phys. B, 20, 1428 (2006).

  3. L. G. P. Saavedra, in: The 38th Symposium on Mathematical Physics “Quantum Entanglement and Geometry” (Toruñ, Poland, 4–7 June, 2006), Int. J. Open Sys. Inform. Dyn., 14, 319 (2007).

  4. E. Corinaldesi, Nuovo Cimento, Suppl. 10, serie 9, 2, 83 (1953).

  5. N. Bohr and L. Rosenfeld, Mat.-Fys. Medd. Dan. Vid. Selsk., 12, 65 (1933) [English translation, in: J. A. Wheeler and W. H. Zurek (eds.), Quantum Theory and Measurement, Princeton University Press, MS, USA (1983), p. 479].

  6. G. Compagno and F. Persico, Phys. Rev. A, 57, 1595 (1998).

    Article  ADS  Google Scholar 

  7. G. Compagno and F. Persico, Phys. Rev. A, 60, 4196 (1999).

    Article  ADS  Google Scholar 

  8. G. Compagno and F. Persico, J. Phys. A: Math. Gen., 35, 3629 (2002).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  9. G. Compagno and F. Persico, J. Phys. A: Math. Gen., 35, 8965 (2002).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  10. V. Hnizdo, Phys. Rev. A, 60, 4191 (1999) [arXiv quant-ph/0210074].

    Article  ADS  Google Scholar 

  11. V. Hnizdo, J. Phys. A: Math. Gen., 33, 4095 (2000) [arXiv math-ph/0005014].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  12. V. Hnizdo, J. Phys. A: Math. Gen., 35, 8961 (2002) [arXiv physics/0205022].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  13. V. Hnizdo, arXiv physics/0210053 (2002).

  14. C. H. Woo, Phys. Rev., 139, 1103 (1965).

    Article  MathSciNet  ADS  Google Scholar 

  15. A. Peres and N. Rosen, Phys. Rev., 118, 335 (1960).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  16. B. DeWitt, in: L. Witten (ed.), Gravitation: An Introduction to Current Research, John Wiley (1962), p. 266.

  17. H. Borzeszkowski and H. Treder, Found. Phys., 12, 1113 (1982).

    Article  ADS  Google Scholar 

  18. P. Bergmann and G. Smith, Gen. Relat. Gravit., 14, 1131 (1982).

    Article  MathSciNet  ADS  Google Scholar 

  19. N. Bohr and L. Rosenfeld, Phys. Rev., 78, 794 (1950).

    Article  ADS  MATH  Google Scholar 

  20. O. Halpern and M. Johnson, Phys. Rev., 59, 896 (1941).

    Article  ADS  MATH  Google Scholar 

  21. W. Heitler, The Quantum Theory of Radiation, 3rd ed., Dover, New York (1984), p. 26; 76; 80; 123.

  22. J. Roldán, The Global Spiral, a publication of Metanexus Institute, 24 May 2007 [http://www.metanexus.net/Magazine/tabid/68/id/10027/Default.aspx].

  23. B. d’Espagnat, Veiled Reality, Addison-Wesley (1995), p. 229.

  24. W. Heisenberg, in: J. Schwinger (ed.), Selected Papers on Quantum Electrodynamics, Dover, New York (1958), p. 62.

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Authors and Affiliations

  1. Faculty of Engineering, Department of Natural Sciences and Mathematics Pontificia Universidad Javeriana, Calle 18, No. 118-250, Avenida Cañasgordas, Cali, Colombia, South America

    Luis Gerardo Pedraza Saavedra

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  1. Luis Gerardo Pedraza Saavedra
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Correspondence to Luis Gerardo Pedraza Saavedra.

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Saavedra, L.G.P. Vacuum fluctuations in charge–current uncertainty relations. J Russ Laser Res 32, 476–485 (2011). https://doi.org/10.1007/s10946-011-9237-8

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  • DOI: https://doi.org/10.1007/s10946-011-9237-8

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