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Lanczos Approach to Noether’s Theorem

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If the action A=∫t1t2L(q,q,t)dt is invariant under the infinitesimal transformation t˜=t+ετ(q,t), q˜=qr+εζr(q,t), r-1,...,n with ε=constant≤1, then the Noether’s theorem permits to construct the corresponding conserved quantity. The Lanczos method accepts that ε=qn+1 is a new degree of freedom, thus the Euler-Lagrange equation for this new variable gives the Noether’s constant of motion.


The Bulletin of Society for Mathematical Services and Standards (Volume 11)
P. Lam-Estrada et al., "Lanczos Approach to Noether’s Theorem", The Bulletin of Society for Mathematical Services and Standards, Vol. 11, pp. 1-3, 2014
Online since:
Sep 2014

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