Conjugate variables: Difference between revisions

Revision as of 09:37, 5 July 2009

Revision as of 21:22, 26 July 2009

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Examples of canonically conjugate variables include the following:

* [[Time]] and [[frequency]]: the longer a musical note is sustained, the more precisely we know its frequency (but it spans more time). Conversely, a very short musical note becomes just a click, and so one can't know its frequency very accurately.

* [[Time]] and [[energy]] - as energy and frequency in [[Quantumquantum Mechanicsmechanics]] are directly proportional to each other.

* [[Position]] and [[momentum]]: a precise definition of position leads to ambiguity of momentum, and vice versa.

* [[Angle]] (angular position) and [[angular momentum]];