"Invariante Variationsprobleme"

E157399

"Invariante Variationsprobleme" is Emmy Noether’s landmark 1918 paper that founded the deep connection between symmetries and conservation laws in physics and the calculus of variations.

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Predicate Object
instanceOf mathematics paper
physics paper
scientific paper
appliesTo Hamiltonian systems
Lagrangian mechanics
classical field theory
general relativity
author Emmy Noether
centuryOfPublication 20th century
contains Noether's theorem
surface form: first Noether theorem

Noether's theorem
surface form: second Noether theorem
countryOfOrigin Germany
field calculus of variations
conservation laws
mathematical physics
symmetry theory
theoretical physics
focusesOn invariance of action integrals
relationship between invariance and integrals of motion
historicalSignificance cornerstone of modern gauge theories
foundational work in modern theoretical physics
key work in the development of symmetry methods in physics
influenced Noetherian approaches in mathematics and physics
gauge theory
modern differential geometry
particle physics
quantum field theory
language German
mainContribution development of invariant methods in the calculus of variations
establishing connection between symmetries and conservation laws
formulation of Noether's theorem
originalTitle "Invariante Variationsprobleme" self-link
surface form: Invariante Variationsprobleme
publicationYear 1918
relatedConcept Noether charge
Noether current
Noether's theorem
surface form: Noether symmetry
relatedTo Erlangen Program
surface form: Felix Klein's Erlangen program

Hilbert's work on general relativity
topic Euler–Lagrange equation
surface form: Euler–Lagrange equations

Lie groups of transformations
Noether currents
conserved currents
continuous symmetries
energy–momentum conservation
variational principles

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Noether's theorem publishedIn "Invariante Variationsprobleme"
"Invariante Variationsprobleme" originalTitle "Invariante Variationsprobleme" self-link
subject surface form: Invariante Variationsprobleme
this entity surface form: Invariante Variationsprobleme