Content deleted Content added
No edit summary |
Text moved from the thermodynamic article which seems more appropriate here |
||
Line 4:
==Examples==
There are many types of conjugate variables, depending on the type of work a certain system is doing (or is being subjected to). 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 [[quantum mechanics]] are directly proportional to each other.
Line 10 ⟶ 11:
* [[Angle]] (angular position) and [[angular momentum]];
* [[Doppler effect|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'''.
* [[Electrical work]]: ℰde (''ℰ''= [[electromotive force]]; ''e'' amount of charge)
* Magnetic work MdH (M= magnetization; H = field)
* Surface energy: γdA (''γ'' = [[surface tension]] ; ''A'' = surface area)
* Elastic stretching: FdL (''F'' = elastic force; L length stretched)
* [[Gravitational potential energy]]: ψdm (''ψ'' = gravitational potential; m = mass)
=See also=
| |||