Lanczos Approach to Noether’s Theorem
2014 ◽
Vol 11
◽
pp. 1-3
Keyword(s):
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.
Keyword(s):
2019 ◽
Vol 7
(1)
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pp. 90-98
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2017 ◽
Keyword(s):
2012 ◽
Vol 219
(6)
◽
pp. 3009-3016
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1994 ◽
Vol 09
(19)
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pp. 1785-1790
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Keyword(s):