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Introduction to Units, Physical Constants and Uncertainties

Although SI units are preferred in most publications, Gaussian and other units are still widely used in some fields, such as chapter 11-16 in Jackson 1999. One reason is:

Explicit factors of c appear in a natual manner in these units, making them more appropriate than SI units for relativistic phenomena.

Another reason is to make equations simpler, for example:

  • Electromagnetic tensor: (Gaussian, Heaviside-Lorentz, natural)
  • Klein-Gordon equation: (natural)
  • Schrödinger equation for hydrogen atom: (atomic)

Conversions between different unit systems can be found in many textbooks (e.g. appendix in Jackson 1999). However, I'd like to provide a more straight-forward method to make the process easy to understand.

Because of 2019 redefinition of the SI base units, the results here are different from other materials: there are uncertainties in most unit conversions between SI and Gaussian.

Appendix