Conjugate variables: Difference between revisions

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Derivatives of action: forgot that energy is *negative* of time momentum
Derivatives of action: comment out my possible errors
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* The ''[[linear momentum]]'' of a particle is the derivative of its action with respect to its ''[[position (vector)|position]]''.
* The ''[[angular momentum]]'' of a particle is the derivative of its action with respect to its ''[[angle]]'' (angular position).
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* The ''[[electric potential]]'' (&phi;, [[voltage]]) at an event is the negative of the derivative of the action of the electromagnetic field with respect to the density of (free) ''[[electric charge]]'' at that event.
* The ''[[magnetic potential]]'' (A) at an event is the derivative of the action of the electromagnetic field with respect to the density of (free) ''[[electric current]]'' at that event.
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* The ''[[magnetic field|magnetic induction]]'' (B) at an event is the derivative of the action of the electromagnetic field with respect to the ''[[magnetization]]'' at that event.
* The Newtonian ''[[gravitational potential]]'' at an event is the negative of the derivative of the action of the Newtonian gravitation field with respect to the ''[[mass density]]'' at that event.
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=See also=