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Calculus and Beyond Homework Help
Using symmetry of action to find the constant of motion
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[QUOTE="jambaugh, post: 6133736, member: 76054"] Two big hints here... the phrase "treating it as a variational problem in t" and "show that the Noether procedure leads to..." You need to study up on that procedure. I suggest you come back here with more specific questions about that procedure if you're stuck. I think basically your instructor wants you to show that you understand Noether's proof of her celebrated theorem by applying it in this specific example. Also note that when you carry out the variational procedure (the one usually executed to derive the Euler Lagrange equations of motion) you will get some boundary terms which you need not assume go away. We usually assert [itex]\delta t, \delta x[/itex] are zero on the boundary region. I vaguely recall relaxing this assumption leads to some interesting additional terms having to do with fluxes of conserved quantities across the boundary. But let me emphasize the "[B]vaguely[/B]" in that sentence. [/QUOTE]
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Calculus and Beyond Homework Help
Using symmetry of action to find the constant of motion
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