
Any one of a number of related integral quantities which serve as the basis for general formulations of the dynamics of both classical and quantum-mechanical systems. The term has been associated with four quantities: the fundamental action S, for general paths of a dynamical system; the classical action SC, for the actual path; the modified action S′, for paths restricted to a particular energy; and action variables, for periodic motions.
A dynamical system can be described in terms of some number N of coordinate degrees of freedom that specify its configuration. As the vector q whose components are the degrees of freedom q1, q2, …, qN varies with time t, it traces a path q(t) in an N-dimensional space. The fundamental action S is the integral of the lagrangian of the system taken along any path q(t), actual or virtual, starting from a specified configuration q1 at a specified time t1, and ending similarly at configuration q2 and time t2. The value of this action S[q(t)] depends on the particular path q(t). The actual path qC(t) which is traversed when the system moves according to newtonian classical mechanics gives an extremum value of S, usually a minimum, relative to the other paths. This is Hamilton's least-action principle. The extremum value depends only on the end points and is called the classical action SC(q1, q2; t1, t2).
An important variant of Hamilton's principle applies when the virtual paths q(t) are restricted to motions all of the same energy E, but no longer to a specific time interval, t1 − t2. The modified action S′ = S − E(t1 − t2) obeys a modified least-action principle, usually called Maupertuis' principle, namely, that the classical path gives again an extremal value of S′ relative to all paths of that energy. Maupertuis' principle is closely related to Fermat's principle of least time in classical optics for the path of light rays of a definite frequency through a region of inhomogeneous refractive index. See also Hamilton's principle; Minimal principles.
In quantum mechanics, as originally formulated by E. Schrödinger, the state of particles is described by wave functions which obey the Schrödinger wave equation. States of definite energy in, say, atoms are described by stationary wave functions, which do not move in space. Nonstationary wave functions describe transitory processes such as the scattering of particles, in which the state changes. Both stationary and nonstationary state wave functions are determined, in principle, once the Schrödinger wave propagator (also called the Green function) between any two points q1 and q2 is known. In a fundamental restatement of quantum mechanics, R. Feynman showed that all paths from q1 to q2, including the virtual paths, contribute to the wave propagator. Each path contributes a complex phase-term exp i (φ[q(t)]), where the phase φ is proportional to the action for that path. The resulting sum over paths, appropriately defined, is the path integral (or functional integral) representation of the Schrödinger wave propagator. The path integral has become the general starting point for most formulations of quantum theories of particles and fields. The classical path qC(t) of least action now plays the role in the wave function as being the path of stationary phase. See also Propagator (field theory).
Advertising: impelling function of advertising. Almost all advertising is based on some action that the advertiser wants individuals to take. The desired action may be to move people directly to the purchase of a product (direct action), or it can be more subtle-for example, to move individuals toward a new thinking pattern in which the product or service is seen in a favorable light. An example of action-oriented advertising is the political advertisement, where the immediate desired objective is to generate positive feelings about the candidate and where the longer range desired action is to move the public to vote for the candidate. Two other examples are the price-off coupon offer in a print advertisement, where the desired action is the clipping of a coupon by the consumer and his or her subsequent purchase of the product, and the retail store sale advertisement designed to motivate the consumer to come to the store and shop.
Film or television production:
1.any motion by performers on the viewing screen that is intended to be transmitted or recorded.
2.order to begin movement in filming, as in "Lights, camera, action."
noun
In addition to the idioms beginning with action, also see all talk and no action; piece of the action; swing into action.
Definition: something done
Antonyms: cessation, idleness, inaction, inactivity, inertia, repose, rest, stoppage
n. 1. armed conflict.
2. a military engagement: a rearguard action.
3. a manner or style of doing something, typically the way in which a mechanism works or a person moves.
go into action start battle.
in action engaged in battle.
See the Introduction, Abbreviations and Pronunciation for further details.
What an agent does, as opposed to what happens to an agent (or even what happens inside an agent's head). Describing events that happen does not of itself permit us to talk of rationality and intention, which are the categories we may apply if we conceive of them as actions. We think of ourselves not only passively, as creatures within which things happen, but actively, as creatures that make things happen. Understanding this distinction gives rise to major problems concerning the nature of agency, of the causation of bodily events by mental events, and of understanding the will and free will. Other problems in the theory of action include drawing the distinction between an action and its consequences, and describing the structures involved when we do one thing ‘by’ doing another thing. Even the placing and dating of action can give rise to puzzles, as in cases where someone shoots someone on one day and in one place, and the victim then dies on another day and in another place. Where and when did the murder take place?
1. Any unit or sequence of social activity or behaviour. The term is sometimes restricted to social activities, which are intentional and involve conscious deliberation, rather than merely being the result of a behavioural reflex.
2. In biomechanics, the product of work and time. Compare power.
3. See muscle action.
Action was a federal agency established by President Richard Nixon on 1 July 1971. Its intention was to make the service organizations established during the 1960s operate more efficiently. The programs absorbed were the Active Corps of Executives, the Peace Corps, the Retired Senior Volunteer Program, the Service Corps of Retired Executives, the National Student Volunteer Program, and Volunteers in Service to America (VISTA). In the 1980s, the Reagan administration urged private groups to take some of the load borne by VISTA, and VISTA itself was cut in personnel, thereby diminishing the power and influence of ACTION. In 1990, the National and Community Service Act further weakened ACTION's administrative role, and in 1993, the National and Community Service Trust Act absorbed ACTION into the Corporation for National and Community Service.
Bibliography
"The National and Community Service Act of 1990." Available from http://www.cns.gov/about/ogc/legislation.html.
United States Congress, Senate Committee on Labor and Public Welfare, Special Subcommittee on Human Resources. Action Act of 1972 and Action Domestic Programs. Joint hearing before the Special Subcommittee on Human Resources and the Subcommittee on Aging of the Committee on Labor and Public Welfare, United States Senate, 92nd Congress, Second session on S. 3450…and related bills, Older Americans Action Programs. Washinton, D.C.: Government Printing Office, 1972.
—Kirk H. Beetz
Conduct; behavior; something done; a series of acts.
A case or lawsuit; a legal and formal demand for enforcement of one's rights against another party asserted in a court of justice.
The term action includes all the proceedings attendant upon a legal demand, its adjudication, and its denial or its enforcement by a court. Specifically, it is the legal proceedings, while a cause of action is the underlying right that gives rise to them. In casual conversation, action and cause of action may be used interchangeably, but they are more properly distinguished. At one time, it was more correct to speak of actions at law and of proceedings or suits in equity. The distinction is rather technical, however, and not significant since the merger of law and equity. The term action is used more often for civil lawsuits than for criminal proceedings.
Parties in an Action
A person must have some sort of legal right before starting an action. That legal right implies a duty owed to one person by another, whether it is a duty to do something or a duty not to do something. When the other person acts wrongfully or fails to act as the law requires, such behavior is a breach, or violation, of that person's legal duty. If that breach causes harm, it is the basis for a cause of action. The injured person may seek redress by starting an action in court.
The person who starts the action is the plaintiff, and the person sued is the defendant. They are the parties in the action. Frequently, there are multiple parties on a side. The defendant may assert a defense which, if true, will defeat the plaintiff's claim. A counterclaim may be made by the defendant against the plaintiff or a cross-claim against another party on the same side of the lawsuit. The law may permit joinder of two or more claims, such as an action for property damage and an action for personal injuries, after one auto accident; or it may require consolidation of actions by an order of the court. Where prejudice or injustice is likely to result, the court may order a severance of actions into different lawsuits for different parties.
Commencement of an Action
The time when an action may begin depends on the kind of action involved. A plaintiff cannot start a lawsuit until the cause of action has accrued. For example, a man who wants to use a parcel of land for a store where only houses are allowed must begin by applying for a variance from the local zoning board. He cannot bypass the board and start an action in court. His right to sue does not accrue until the board turns down his request.
Neither can a person begin an action after the time allowed by law. Most causes of action are covered by a statute of limitations, which specifically limits the time within which to begin the action. If the law in a particular state says that an action for libel cannot be brought more than one year after publication of a defamatory statement, then those actions must be initiated within that statutory period. Where there is no statute that limits the time to commence a particular action, a court may nevertheless dismiss the case if the claim is stale and if litigation at that point would not be fair.
A plaintiff must first select the right court, then an action can be commenced by delivery of the formal legal papers to the appropriate person. Statutes that regulate proper procedure for this must be strictly observed. A typical statute specifies that an action may be begun by delivery of a summons, or a writ on the defendant. At one time, common-law actions had to be pleaded according to highly technical forms of action, but now it is generally sufficient simply to serve papers that state facts describing a recognized cause of action. If this service of process is done properly, the defendant has fair notice of the claim made against him or her and the court acquires jurisdiction over him or her. In some cases, the law requires delivery of the summons or writ to a specified public officer such as a U.S. marshal, who becomes responsible for serving it on the defendant.
Termination of an Action
After an action is commenced, it is said to be pending until termination. While the action is pending, neither party has the right to start another action in a different court over the same dispute or to do any act that would make the court's decision futile.
A lawsuit may be terminated because of dismissal before both sides have fully argued the merits of their cases at trial. It can also be ended because of compromise and settlement, after which the plaintiff withdraws his or her action from the court.
Actions are terminated by the entry of final judgments by the courts. A judgment may be based on a jury verdict or it may be a judgment notwithstanding the verdict. Where there has been no jury, judgment is based on the judge's decision. Unless one party is given leave — or permission from the court — to do something that might revive the lawsuit, such as amending an insufficient complaint, the action is at an end when judgment is formally entered on the records of the court.
See: civil procedure.
Quotes:
"In this country men seem to live for action as long as they can and sink into apathy when they retire."
- Charles Francis Adams
"You can tell more about a person by what he says about others than you can by what others say about him."
- Leo Aikman
"The shortest distance between two points is under construction."
- Noelie Alito
"The greatest potential for control tends to exist at the point where action takes place."
- Loius A. Allen
"Action is coarsened thought; thought becomes concrete, obscure, and unconscious."
- Henri Frederic Amiel
"Action and faith enslave thought, both of them in order not be troubled or inconvenienced by reflection, criticism, and doubt."
- Henri Frederic Amiel
See more famous quotes about Action
| act, across, acre | |
| actual, adjectival, adjective |
1. the accomplishment of an effect, whether mechanical or chemical, or the effect so produced.
2. the gait or type of movement of an animal.

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It has been suggested that this article or section be merged with Hamilton's principle. (Discuss) Proposed since November 2011. |
In physics, action is an attribute of the dynamics of a physical system. It is a mathematical functional which takes the trajectory, also called path or history, of the system as its argument and has a real number as its result. Generally, the action takes different values for different paths.[1]
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Physical laws are frequently expressed as differential equations, which describe how physical quantities such as position and momentum change continuously with time. Given the initial and boundary conditions for the situation, the solution to the equation is a function describing the behavior of the system (positions and momenta of the particles) at all times and all positions within the set boundaries.
There is an alternative approach to finding equations of motion. Classical mechanics postulates that the path actually followed by a physical system is that for which the action is minimized, or, more strictly, is stationary. That is to say, the action satisfies a variational principle: the principle of stationary action (see also below). The action is defined by an integral, and the classical equations of motion of a system can be derived from minimizing the value of the action integral, rather than solving differential equations.
This simple principle provides deep insights into physics, and is an important concept in modern theoretical physics.
The equivalence of these two approaches is contained in Hamilton's principle, which states that the differential equations of motion for any physical system can be re-formulated as an equivalent integral equation. It applies not only to the classical mechanics of a single particle, but also to classical fields such as the electromagnetic and gravitational fields. Hamilton's principle has also been extended to quantum mechanics and quantum field theory, in particular path integral formulation makes use of the concept; where a physical system follows simultaneously all possible paths with probability amplitudes for each path being determined by the action for the path.[2]
Action was defined in several, now obsolete, ways during the development of the concept.[3]
Expressed in mathematical language, using the calculus of variations, the evolution of a physical system (i.e., how the system actually progresses from one state to another) corresponds to a stationary point (usually, a minimum) of the action.
Several different definitions of 'the action' are in common use in physics:[5][6]
If the action is represented as an integral over time, taken along the path of the system between the initial time and the final time of the development of the system,[8]

where the integrand L is called the Lagrangian. For the action integral to be well defined the trajectory has to be bounded in time and space.
Action has the dimensions of [energy]•[time], and its SI unit is joule•second.
In classical physics, the term "action" has a number of meanings.
Most commonly, the term is used for a functional
which takes a function of time and (for fields) space as input and returns a scalar[9][10]. In classical mechanics, the input function is the evolution q(t) of the system between two times t1 and t2, where q represent the generalized coordinates. The action
is defined as the integral of the Lagrangian L for an input evolution between the two times
![\mathcal{S}[\mathbf{q}(t)] = \int_{t_1}^{t_2} L[\mathbf{q}(t),\dot{\mathbf{q}}(t),t]\, dt](http://wpcontent.answcdn.com/wikipedia/en/math/2/2/b/22b75fa06cfc899bb5e9db28ed3d7ea8.png)
where the endpoints of the evolution are fixed and defined as
and
. According to Hamilton's principle, the true evolution qtrue(t) is an evolution for which the action
is stationary (a minimum, maximum, or a saddle point). This principle results in the equations of motion in Lagrangian mechanics.
Usually denoted as
, this is also a functional. Here the input function is the path followed by the physical system without regard to its parameterization by time. For example, the path of a planetary orbit is an ellipse, and the path of a particle in a uniform gravitational field is a parabola; in both cases, the path does not depend on how fast the particle traverses the path. The abbreviated action
is defined as the integral of the generalized momenta along a path in the generalized coordinates

According to Maupertuis' principle, the true path is a path for which the abbreviated action
is stationary.
Hamilton's principal function is defined by the Hamilton–Jacobi equations (HJE), another alternative formulation of classical mechanics. This function S is related to the functional
by fixing the initial time t1 and endpoint q1 and allowing the upper limits t2 and the second endpoint q2 to vary; these variables are the arguments of the function S. In other words, the action function
is the indefinite integral of the Lagrangian with respect to time.
When the total energy E is conserved, the HJE can be solved with the additive separation of variables
,where the time independent function W(q1, q2 ... qN) is called Hamilton's characteristic function. The physical significance of this function is understood by taking its total time derivative
.This can be integrated to give
,which is just the abbreviated action.
The Hamilton–Jacobi equations are often solved by additive separability; in some cases, the individual terms of the solution, e.g., Sk(qk), are also called an "action".[11]
This is a single variable Jk in the action-angle coordinates, defined by integrating a single generalized momentum around a closed path in phase space, corresponding to rotating or oscillating motion

The variable Jk is called the "action" of the generalized coordinate qk; the corresponding canonical variable conjugate to Jk is its "angle" wk, for reasons described more fully under action-angle coordinates. The integration is only over a single variable qk and, therefore, unlike the integrated dot product in the abbreviated action integral above. The Jk variable equals the change in Sk(qk) as qk is varied around the closed path. For several physical systems of interest, Jk is either a constant or varies very slowly; hence, the variable Jk is often used in perturbation calculations and in determining adiabatic invariants.
As noted above, the requirement that the action integral be stationary under small perturbations of the evolution is equivalent to a set of differential equations (called the Euler–Lagrange equations) that may be determined using the calculus of variations. We illustrate this derivation here using only one coordinate, x; the extension to multiple coordinates is straightforward.[12][13]
Adopting Hamilton's principle, we assume that the Lagrangian L (the integrand of the action integral) depends only on the coordinate x(t) and its time derivative dx(t)/dt, and may also depend explicitly on time. In that case, the action integral can be written

where the initial and final times (t1 and t2) and the final and initial positions are specified in advance as
and
. Let xtrue(t) represent the true evolution that we seek, and let
be a slightly perturbed version of it, albeit with the same endpoints,
and
. The difference between these two evolutions, which we will call
, is infinitesimally small at all times

At the endpoints, the difference vanishes, i.e.,
.
Expanded to first order, the difference between the actions integrals for the two evolutions is
![\begin{align}
\delta \mathcal{S} &= \int_{t_1}^{t_2}\;
\left[ L(x_{\mathrm{true}}+\varepsilon,\dot x_{\mathrm{true}} +\dot\varepsilon,t)- L(x_{\mathrm{true}},\dot x_{\mathrm{true}},t) \right]dt \\
&= \int_{t_1}^{t_2}\;
\left(\varepsilon{\partial L\over\partial x} +
\dot\varepsilon{\partial L\over\partial \dot x} \right)\,dt
\end{align}](http://wpcontent.answcdn.com/wikipedia/en/math/5/8/8/588e5a9b439ac53da13311b60363f7fd.png)
Integration by parts of the last term, together with the boundary conditions
, yields the equation

The requirement that
be stationary implies that the first-order change must be zero for any possible perturbation ε(t) about the true evolution,
This can be true only if
The Euler–Lagrange equation is obeyed provided the functional derivative of the action integral is identically zero:
.The quantity
is called the conjugate momentum for the coordinate x. An important consequence of the Euler–Lagrange equations is that if L does not explicitly contain coordinate x, i.e.
, then
is constant in time.In such cases, the coordinate x is called a cyclic coordinate, and its conjugate momentum is conserved.
Simple examples help to appreciate the use of the action principle via the Euler–Lagrangian equations. A free particle (mass m and velocity v) in Euclidean space moves in a straight line. Using the Euler–Lagrange equations, this can be shown in polar coordinates as follows. In the absence of a potential, the Lagrangian is simply equal to the kinetic energy

in orthonormal (x,y) coordinates, where the dot represents differentiation with respect to the curve parameter (usually the time, t). In polar coordinates (r, φ) the kinetic energy and hence the Lagrangian becomes

The radial r and φ components of the Euler–Lagrangian equations become, respectively

The solution of these two equations is given by

for a set of constants a, b, c, d determined by initial conditions. Thus, indeed, the solution is a straight line given in polar coordinates.
The action principle can be extended to obtain the equations of motion for fields, such as the electromagnetic field or gravitational field.
The Einstein equation utilizes the Einstein-Hilbert action as constrained by a variational principle.
The path of a body in a gravitational field (i.e. free fall in space time, a so called geodesic) can be found using the action principle.
Symmetries in a physical situation can better be treated with the action principle, together with the Euler–Lagrange equations, which are derived from the action principle. An example is Noether's theorem, which states that to every continuous symmetry in a physical situation there corresponds a conservation law (and conversely). This deep connection requires that the action principle be assumed. [14]
In quantum mechanics, the system does not follow a single path whose action is stationary, but the behavior of the system depends on all permitted paths and the value of their action. The action corresponding to the various paths is used to calculate the path integral, that gives the probability amplitudes of the various outcomes.
Although equivalent in classical mechanics with Newton's laws, the action principle is better suited for generalizations and plays an important role in modern physics. Indeed, this principle is one of the great generalizations in physical science. In particular, it is fully appreciated and best understood within quantum mechanics. Richard Feynman's path integral formulation of quantum mechanics is based on a stationary-action principle, using path integrals. Maxwell's equations can be derived as conditions of stationary action.
When relativistic effects are significant, the action of a point particle of mass m travelling a world line C parametrized by the proper time
is
.If instead, the particle is parametrized by the coordinate time t of the particle and the coordinate time ranges from t1 to t2, then the action becomes

where the Lagrangian is
.[15]The action principle can be generalized still further. For example, the action need not be an integral because nonlocal actions are possible. The configuration space need not even be a functional space given certain features such as noncommutative geometry. However, a physical basis for these mathematical extensions remains to be established experimentally. [16]
For an annotated bibliography, see Edwin F. Taylor [1] who lists, among other things, the following books
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Dansk (Danish)
n. - aktion, handling, iværksættelse
v. tr. - handle, iværksætte
idioms:
Nederlands (Dutch)
actie, handeling/daad, werking, gevechtshandeling, manier van bewegen/ functioneren, rechtszaak, een rechtszaak aanspannen tegen
Français (French)
n. - action, effet, usage, service, combat, acte, (Théât) intrigue, (Cin) moteur, (Jur) procès, action en justice, (Tech) mécanisme, marche, (Mil) combat, engagement
v. tr. - (Admin) exécuter
idioms:
Deutsch (German)
n. - Handlung, Tat, Arbeit, Funktion, Wirkung , Einfluss, Gefecht, Kampf, Kampfhandlung, (Tech.) Mechanik, (Tech.) Auslöser, (Rechtsw.) Klage, (Rechtsw.) Prozess
v. - etw. unternehmen, einen Prozess gegen jmdn. anstrengen, jmdn.verklagen
idioms:
Ελληνική (Greek)
n. - δράση, ενέργεια, πράξη, επενέργεια, επίδραση, μάχη, πολεμική δραστηριότητα, (νομ.) αγωγή, μήνυση, λειτουργία, έντονη δραστηριότητα, κινητοποίηση, (μτφ.) ψυχαγωγία, διασκέδαση, (καθομ.) τζόγος
idioms:
Italiano (Italian)
azione, scontro, operazione, attività, manovra, scenario
idioms:
Português (Portuguese)
n. - ação (f), atividade (f), ato (m), acionamento (m), mecanismo (m), batalha (f), iniciativa (f)
idioms:
Русский (Russian)
действие, меры (против кого-то, чего-то), бой, действие, работа, деятельность, маневр, сюжет
idioms:
Español (Spanish)
n. - acción, actuación, lucha, batalla, combate, acto, actividad, animación, movimiento, maniobra, trama, argumento, intriga
v. tr. - accionar, actuar, luchar, batallar, combatir, animar, mover, maniobrar
idioms:
Svenska (Swedish)
n. - handling, inverkan, funktion
中文(简体)(Chinese (Simplified))
动作, 战斗, 作用, 对...起诉
idioms:
中文(繁體)(Chinese (Traditional))
n. - 動作, 戰鬥, 作用
v. tr. - 對...起訴
idioms:
한국어 (Korean)
n. - 행동, 작용, 행위, 연기, 조처, 전투, 줄거리, 판결, 소송
v. tr. - ~을 상대로 소송을 제기하다
idioms:
日本語 (Japanese)
n. - 行動, 行為, 作用, 機能, 働き, 動作, 訴訟, 戦闘
idioms:
العربيه (Arabic)
(الاسم) دعوى قضائيه, تأثير, أداء, عمل, تصرف, سلوك, نشاط, معركه
עברית (Hebrew)
n. - פעולה, מעשה, פעילות, דרך פעולה, מנגנון, תביעה משפטית, הליך משפטי, קרב, מלחמה, סידרת אירועים המוצגים בסיפור, מחזה וכו', תנועה, פקודה להתחלת הסרטת תמונה בסרט, אקשן
v. tr. - נקט בפעולה משפטית נגד
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