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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...
Applications of Classical Scaling Symmetry
Classical Scaling Symmetry Solar and Stellar Astrophysics Exactly Solvable and Integrable Systems
2011/7/25
Abstract: 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, b...
Classical Scaling Symmetry Implies Useful Nonconservation Laws
Nonconservation Laws symmetry dynamically
2010/4/2
Scaling symmetries of the Euler-Lagrange equations are generally not variational symmetries of the action and do not lead to conservation laws. Nevertheless, by an extension of Noether's theorem, scal...