Conjugate variables: Difference between revisions

Revision as of 16:27, 14 October 2009

Revision as of 01:24, 26 October 2009

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* [[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 [[quantum mechanics]] are directly proportional to each other.

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

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

* [[{{dn|Doppler]]}} and range: the more we know about how far away a [[radar]] target is, the less we can know about the exact velocity of approach or retreat, and vice versa. In this case, the two dimensional function of doppler and range is known as a [[radar ambiguity function]] or '''radar ambiguity diagram'''.

[[Category:Classical mechanics]]