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Examples of unconventional dimensional analysis

  • Elementary Particles and Fields
  • Published:
Acta Physica Hungarica

Abstract

It is shown that dimensional analysis can be used (i) to calculate the energy levels in a one-dimensional potentialV(x) ≈ |k, and (ii) to estimate the value of the gravitational constantG.

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References

  1. K. G. Wilson and J. Kogut, Phys. Rep.C12, 76, 1974.

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  2. A rich source of interesting examples of dimensional analysis is the book Similarity, Selfsimilarity, and Intermediate Asymptotics by G. I. Barenblatt, Consultants Bureau, New York, 1979.

  3. L. D. Landau and E. M. Lifshitz, Quantum Mechanics, Nonrelativistic Theory, Addison-Wesley Publishing Co., Reading, Mass. 1958.

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  4. See for example G. Börner, The Early Universe, Facts and Fiction, Springer-Verlag, Berlin-Heidelberg, 1988.

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Author notes

  1. Z. Rácz

    Present address: Institute for Theoretical Physics, Eötvös University, Puskin u. 5-7, 1088, Budapest, Hungary

Authors and Affiliations

  1. Department of Physics, Clarkson University, 13676, Potsdam, New York, USA

    Z. Rácz

Authors
  1. Z. Rácz
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Dedicated to Prof. P. Szépfalusy on his 60th birthday

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Rácz, Z. Examples of unconventional dimensional analysis. Acta Physica Hungarica 72, 249–252 (1992). https://doi.org/10.1007/BF03054169

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  • DOI: https://doi.org/10.1007/BF03054169

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