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Applications of Classical Scaling Symmetry
Classical Scaling Symmetry second-order differential equation conservation laws central field dynamics
2011/7/7
Any symmetry reduces a second-order differential equation to a first-order equation: variational symmetries of the action (exemplified by central field dynamics) lead to conservation laws, but symmetr...
The continuous symmetries of physical systems are reflected not only by conservation laws, but also by constraints on the probability, or particle dis-tribution functions, and phase-space reduction.