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principle of least action sentence in Hindi

"principle of least action" meaning in Hindiprinciple of least action in a sentence
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  • The principle of least action is maybe the most famous, but there's also several others, such as the Hamilton-Jacobi equation or Gauss'principle of least constraint.
  • According to Richard Feynman, the principle of least action is mathematically more specific than Newton's 2nd law and more fundamental in theoretical physics because it explains a wider range of physical law.
  • It is a modification of the Hamilton Jacobi equation ( HJE ) from classical mechanics, and can be derived from the Einstein Hilbert action using the principle of least action in the ADM formalism.
  • He is often credited with having invented the principle of least action; a version is known as Maupertuis'principle & ndash; an integral equation that determines the path followed by a physical system.
  • By being more specific and thereby explaining only conservative forces, the principle of least action is able to solve problems Newton's 2nd law can't, but the converse is not true.
  • Hence the principle of least action is not just the culmination of Maupertuis s work in several areas of physics, he sees it as his most important achievement in philosophy too, giving an incontrovertible proof of God.
  • This problem is conceptually related to the principle of least action in physics, in that it can be restated : what is the principle of action which encloses the greatest area, with the greatest economy of effort?
  • Hamilton's principle is sometimes referred to as the " principle of least action ", however the action functional need only be " stationary ", not necessarily a maximum or a minimum value.
  • Maupertuis was the first to publish a " principle of least action ", where he defined " action " as \ int v \, ds, which was to be minimized over all paths connecting two specified points.
  • Thus, Maupertuis takes credit for conceiving the principle of least action as a " general " principle applicable to all physical systems ( not merely to light ), whereas the historical evidence suggests that Euler was the one to make this intuitive leap.
  • He also analyzes the movement of a photon near a mass with the principle of least action : the photon tries to make as big steps ( oscillations with low frequency ); therefore passing a zone where the second slows down and the unit of length increases.
  • The second volume contains a long paper embodying the results of several papers in the first volume on the theory and notation of the calculus of variations; and he illustrates its use by deducing the principle of least action, and by solutions of various problems in dynamics.
  • The corresponding dynamics problem is that of a rock thrown upwards; the path the rock follows is a critical point ( extremum ) of the Lagrangian; as before, this critical point is typically a minimum, so this is called the " principle of least action ":
  • This plays a role similar to that of the Schr�dinger equation in non-relativistic quantum mechanics, but a Lagrangian is not an equation of motion  rather, it is a polynomial function of the fields and their derivatives, and used with the principle of least action.
  • In 1751, Maupertuis'priority for the principle of least action was challenged in print ( " Nova Acta Eruditorum " of Leipzig ) by an old acquaintance, Johann Samuel Koenig, who quoted a 1707 letter purportedly from Frederick II were engaged in the quarrel.
  • Thus, by applying a single idea : the principle of least action, to a single quantity : the scalar curvature on the bundle ( as a whole ), one obtains simultaneously all of the needed field equations, for both the space-time and the gauge field.
  • Although it is based on the calculus of variations and may be said to belong to the general class of problems included under the principle of least action which had been studied earlier by Arnold, have extended Hamilton's work, thereby expanding our knowledge of mechanics and differential equations.
  • The Principle of least action was already a well known principle that explained Snell's law when Newton was investigating optics, so why did he come to the conclusion that light went faster when it entered glass rather than slower ?  Preceding contribs ) 21 : 42, 4 August 2008 ( UTC)
  • In the latter case, the geodesic equations are seen to arise from the principle of least action : they describe the motion of a " free particle " ( a particle feeling no forces ) that is confined to move on the manifold, but otherwise moves freely, with constant momentum, within the manifold.
  • Two years later, Maupertuis cites Euler's 1744 work as a " beautiful application of my principle to the motion of the planets " and goes on to apply the principle of least action to the lever problem in mechanical equilibrium and to perfectly elastic and perfectly inelastic collisions ( see the 1746 publication below ).
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