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Noether’s Theorem - Physics Courses

Noether’s Theorem - Physics Courses

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Noether’s Theorem 7.1 Continuous Symmetry Implies Conserved Charges Consider a particle moving in two dimensions under the influence of an external potential U(r). The potential is a function only of the magnitude of the vector r. The Lagrangian is then L= T−U= 1 2m r˙2 +r2 φ˙2 −U(r) , (7.1) where we have chosen generalized ...

  Noether, Theorem

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