"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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Statements (45)

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 first Noether theorem ⓘ
linked to: Noether's theorem

second Noether theorem ⓘ
linked to: Noether's 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 ⓘ
publicationYear 1918 ⓘ
relatedConcept Noether charge ⓘ
Noether current ⓘ
Noether symmetry ⓘ
linked to: Noether's theorem
relatedTo Felix Klein's Erlangen program ⓘ
linked to: Erlangen Program

Hilbert's work on general relativity ⓘ
topic Euler–Lagrange equations ⓘ
Lie groups of transformations ⓘ
Noether currents ⓘ
conserved currents ⓘ
continuous symmetries ⓘ
energy–momentum conservation ⓘ
variational principles ⓘ

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Referenced by (2)

Full triples — surface form annotated when it differs from this entity's canonical label.

Noether's theorem → publishedIn → "Invariante Variationsprobleme" ⓘ
Invariante Variationsprobleme → originalTitle → Invariante Variationsprobleme ⓘ
subject linked to: "Invariante Variationsprobleme"
linked to: "Invariante Variationsprobleme"