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International Journal of Theoretical Physics

, Volume 18, Issue 11, pp 835–844 | Cite as

Mathematical theory of reduction of physical parameters and similarity analysis

  • K. L. Chan
  • W. Y. Chau
Article

Abstract

The method of similarity analysis in the study of differential equations is extended to study the variability of parameters in a physical system. The analysis provides an insight into the meaning of “physical” similarity, which usually means the possibility of a reduction in the number of physical parameters characterizing the system. Theorems relating similarities to groups of invariant transformations are proved and employed to show how the number of parameters can be reduced.

Keywords

Differential Equation Field Theory Elementary Particle Quantum Field Theory Physical Parameter 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Plenum Publishing Corporation 1980

Authors and Affiliations

  • K. L. Chan
    • 1
  • W. Y. Chau
    • 1
  1. 1.Physics DepartmentQueen's University at KingstonCanada

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