From the point of view of quantum physics:
Found a nice definition of 'action' in Britannica:
Action, in theoretical physics, an abstract quantity that describes the overall motion of a physical system. Motion, in physics, may be described from at least two points of view: the close-up view and the panoramic view. The close-up view involves an instant-by-instant charting of the behaviour of an object. The panoramic view, on the other hand, reveals not only a complete picture of the actual behaviour of an object but also all the possible routes of development connecting an initial situation with a final situation. From the panoramic view, each route between the two situations is characterized by a specific numerical quantity called its action. Action may be thought of as twice the average kinetic energy of the system multiplied by the time interval between the initial and final position under study or, again, as the average momentum of the system multiplied by the length of the path between the initial and final positions.
The value of the action for any actual motion of a system between two configurations is always a minimum or a maximum. In most instances, the behaviour of the system follows the path of minimum, or least, action. In an optical system, such as a microscope, light travels along the path of least action as it undergoes bending in the lenses. For light, action is proportional to the time of travel, so that the light travels the path that takes the least time.
With the beginning of quantum theory (1900), the concept of action took on a new importance. In describing the behaviour of molecular or atomic particles, one had to invoke a previously unsuspected restriction. Only those states of motion are possible in which actions are whole-number multiples of a certain very small number, known as Planck’s constant, named for the German scientist Max Planck, who first proposed a discrete, or quantized, behaviour for objects of subatomic dimensions. Thus Planck’s constant is the natural unit, or quantum, of action.
The reduced orm of the constant is most widely used, and corresponds to joules (work)
per second. For example, the spin of the electron at either -1/2 or 1/2 is shorthand for
-h/2pi or + h/2pi.
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