"Invariante Variationsprobleme"

E157399

mathematics paper physics paper scientific paper

"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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All labels observed (2)

Label	Occurrences
"Invariante Variationsprobleme" canonical	1
Invariante Variationsprobleme	1

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	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 ⓘ

How these facts were elicited

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Instruction

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# Requirements
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Input

Subject: "Invariante Variationsprobleme"
Description of subject: "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.

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" self-link ⓘ

subject surface form: Invariante Variationsprobleme

this entity surface form: Invariante Variationsprobleme