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Long-range interactions

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Abstract

A long-range potential is one whose range, the distance of effective influence, is unbounded or infinite. In this paper we show, using a definition of the range of a potential and certain other theoretical considerations, that the only long-range potential isV(r)=c/r, wherec is a constant.

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References

  1. M. Jammer,Concepts of Space, 2nd ed. (Harvard University Press, Cambridge, Massachusetts, 1970), Chapter 5.

    Google Scholar 

  2. W. Buchel, “Warum hat der Raum drei Dimensionen?,” translated by Ira. M. Freeman inAm. J. Phys. 37, 1222 (1969).

    Google Scholar 

  3. R. M. Rosenberg,Am. J. Phys. 40, 975 (1972).

    Google Scholar 

  4. P. W. Bridgman,Dimensional Analysis (Yale University Press, New Haven, Connecticut, 1931).

    Google Scholar 

  5. R. Kurth,Dimensional Analysis and Group Theory in Astrophysics (Pergamon Press, Oxford, 1972); in particular Section 1.5.

    Google Scholar 

  6. G. Kallen,Elementary Particle Physics (Addison-Wesley, Reading, Massachusetts, 1964), pp. 7–8.

    Google Scholar 

  7. D. F. Bartlett,Am. J. Phys. 42, 148 (1974).

    Google Scholar 

  8. F. Hoyle,Astrophys. J. 196, 661 (1975).

    Google Scholar 

  9. H. Yukawa,Proc. Phys.-Math. Soc. Jpn. 17, 48 (1935).

    Google Scholar 

  10. G. C. Wick,Nature 142, 994 (1938).

    Google Scholar 

  11. G. Feinberg and J. Sucher,Phys. Rev. 166, 1638 (1968).

    Google Scholar 

  12. E. D. Commins,Weak Interactions (McGraw-Hill, New York, 1973).

    Google Scholar 

  13. E. H. Wichmann,Quantum Mechanics (McGraw-Hill, New York, 1967), pp. 43–91.

    Google Scholar 

  14. J. B. Hasted,Physics of Atomic Collisions (American Elsevier, New York, 1972), Chapter 2.

    Google Scholar 

  15. R. D. Levine and R. B. Bernstein,Molecular Reaction Dynamics (Oxford University Press, London, 1974), Chapter 3.

    Google Scholar 

  16. G. Feinberg and J. Sucher,Phys. Rev. 139, 1619 (1965).

    Google Scholar 

  17. R. Hagedorn,Relativistic Kinematics (Benjamin, New York, 1964).

    Google Scholar 

  18. G. F. Chew,The Analytic S-Matrix (Benjamin, New York, 1966).

    Google Scholar 

  19. T. Appelquist, A. De Rujula, H. D. Politzer, and S. L. Glashow,Phys. Rev. Lett. 34, 365 (1975).

    Google Scholar 

  20. E. Eichten and K. Gottfried,Phys. Lett. 66B, 286 (1977).

    Google Scholar 

  21. C. Quigg and J. L. Rosner, FERMILAB-Pub-77/82-THY (August 1977).

  22. V. S. Buslaev and V. B. Matveev,Theor. Math. Phys. 1, 367 (1970).

    Google Scholar 

  23. I. W. Herbst,Comm. Math. Phys. 35, 193 (1974).

    Google Scholar 

  24. R. Carnap,Philosophical Foundations of Physics (Basic Books, New York, 1966), Chapter 18.

    Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Physics, Fisk University, Nashville, Tennessee

    Ronald E. Mickens

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  1. Ronald E. Mickens
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Supported in part by NASA Grant NSG-8035.

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Mickens, R.E. Long-range interactions. Found Phys 9, 261–269 (1979). https://doi.org/10.1007/BF00715182

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  • DOI: https://doi.org/10.1007/BF00715182

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