Least Action - Revision history

Tom: /* Quantum Mechanics */

2025-01-11T01:02:47Z

‎Quantum Mechanics

2023-06-12T01:03:43Z

‎Quantum Mechanics

2023-06-12T01:02:44Z

2023-06-12T00:55:03Z

‎Biology

2023-06-12T00:52:36Z

‎Hamilton's Principle

2023-06-12T00:50:31Z

‎Hamilton's Principle

2023-06-12T00:49:52Z

2023-06-12T00:46:36Z

‎Hamilton's Principle

2023-06-12T00:46:23Z

‎Hamilton's Principle

2023-06-12T00:43:54Z

‎Hamilton's Principle

@@ Line 24: / Line 24: @@
 ==Biology==
 ==Quantum Mechanics==
-Least action in [[Quantum Mechanics]] is a little different as all possible paths are considered with appropriate weights.
+Least action in [[Quantum Mechanics]] is a little different as [[All Possible Paths]] are considered with appropriate weights.
 As noted above when a photon of energy or other atomic particle passes anywhere near another object, the full pattern of possibilities is open as the the location each particle strikes.

@@ Line 26: / Line 26: @@
 Least action in [[Quantum Mechanics]] is a little different as all possible paths are considered with appropriate weights.
-As noted above when particle (including a photon of energy) passes anywhere near another object, the full pattern of possibilities is open as the the location it strikes.
+As noted above when a photon of energy or other atomic particle passes anywhere near another object, the full pattern of possibilities is open as the the location each particle strikes.
 * See the wiki page on [[Feynman Least Action Thesis]] for Feynman's application of [[Least Action]] to [[Quantum Mechanics]]
 ==References==
 <references />

@@ Line 16: / Line 16: @@
 In optics, Fermat proposed his principle that the path taken between two points by a ray of light is the path that can be traversed in the least time, such as a straight ray in a uniform medium, or the refraction of light passing through an interface between two media.
 In this principle, the traversal time is the optimization object and the product of the refraction index and the optical path is regarded as the action. After Fermat, Maupertuis and Euler independently proposed Maupertuis’s principle for mechanics, which states that the path followed by a physical system is the one having the shortest length (with a suitable interpretation of path and length).
 ==Computation==
@@ Line 22: / Line 24: @@
 ==Biology==
 ==Quantum Mechanics==
-Least action in
+Least action in [[Quantum Mechanics]] is a little different as all possible paths are considered with appropriate weights.
 ==References==
 <references />
 ===Other Material===
 * See wiki page on the [[Eventful Universe]]
 [[Category: Physics]]

@@ Line 8: / Line 8: @@
 the curve between two points that in the shortest time by a body moving under an external force without friction; the curve of quickest descent.
 ===Hamilton's Principle===
-a general principle of least action for classical mechanics, which states that the dynamics of a physical system are determined by a variational problem for a functional based on its Lagrangian, which contains all the physical information concerning the system and the forces acting on it, which is the position and velocity of every component. It should be noted that this information does not include the angular motion of the component.<ref>L. D. Landau and E. M. Lifschitz, ''Mechanics" Addison Wesley (1960 in English) p 2</ref>
+a general principle of least action for classical mechanics, which states that the dynamics of a physical system are determined by a variational problem for a functional based on its Lagrangian, which contains all the physical information concerning the system and the forces acting on it, which is the position and velocity of every component. It should be noted that this information does not include the angular motion of the component.<ref>L. D. Landau and E. M. Lifschitz, ''Mechanics'' Addison Wesley (1960 in English) p 2</ref>
 ==The Principle==