大暴雨
发表于 2025-4-1 05:02:09
The Action Principles in Mechanics, ., ., are points in .-dimensional configuration space. Thus ..(.) describes the motion of the system, and . determines its velocity along the path in configuration space. The endpoints of the trajectory are given by ..(..) = .., and ..(..) = ...
现代
发表于 2025-4-1 08:26:43
Application of the Action Principles, translation . and .(..) = 0. Then the noninvariant part of the action, . is given by . and thus it immediately follows for the variation of . that . or . Here we recognize Newton’s law as nonconservation of the linear momentum: . Now it is straightforward to derive a corresponding law of nonconserv
售穴
发表于 2025-4-1 12:35:03
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PANEL
发表于 2025-4-1 15:00:00
Canonical Transformations,ch can be expressed as functions of the old coordinates: . These transformations should be invertible. The new coordinates .., .. are then exactly canonical if a new Hamiltonian .(., ., .) exists with . Our goal in using the transformations (.) is to solve a given physical problem in the new coordin