@article{lam-estrada2014,
author = {Lam-Estrada, P. and Lopez-Bonilla, Jos{\'{e}} Luis and L{\'{o}}pez-V{\'{a}}zquez, R.},
title = {Lanczos Approach to Noether’s Theorem},
year = {2014},
month = {9},
volume = {11},
pages = {1--3},
journal = {The Bulletin of Society for Mathematical Services and Standards},
doi = {10.18052/www.scipress.com/BSMaSS.11.1},
keywords = {Noether’s Theorem, Invariance of the Action, Variational Lanczos Technique},
abstract = {If the action A=∫t1t2L(q,q,t)dt is invariant under the infinitesimal transformation t˜=t+$\epsilon$$\tau$(q,t), q˜=qr+$\epsilon$$\zeta$r(q,t), r-1,...,n with $\epsilon$=constant≤1, then the Noether’s theorem permits to construct the corresponding conserved quantity. The Lanczos method accepts that $\epsilon$=qn+1 is a new degree of freedom, thus the Euler-Lagrange equation for this new variable gives the Noether’s constant of motion.}
}