Quick description
By assigning "dimensions" to various quantities in a consistent manner (using units such as "length", "time", or "mass"), one can provide a simple "checksum" that can be used to guard against numerical errors, particularly with regards to exponents.
Dimensional analysis can also be used as a shortcut to determine various exponents that would come out at the end of a lengthy calculation, without having to directly calculate the exponents in the intermediate steps of the computation.
Prerequisites
Basic physics.
Example 1
Use dimensional analysis to predict the dependence of integrals such as or on the underlying parameter or .
(Give solution here...)
General discussion
Dimensional analysis can be interpreted in terms of an underlying scale invariance of the problem at hand.
Comments
Post new comment
(Note: commenting is not possible on this snapshot.)