Mathematical Foundations of Quantum Mechanics
E14974
Mathematical Foundations of Quantum Mechanics is John von Neumann’s landmark 1932 treatise that rigorously formulates quantum theory using functional analysis and operator theory on Hilbert spaces.
All labels observed (4)
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
scientific monograph ⓘ |
| author | John von Neumann ⓘ |
| contribution |
axiomatic basis for quantum probability
ⓘ
operator-algebraic framework for quantum observables ⓘ rigorous mathematical formulation of quantum theory ⓘ |
| countryOfOrigin | Germany ⓘ |
| defines |
observables as self-adjoint operators
ⓘ
quantum states as rays in Hilbert space ⓘ |
| discusses |
commutation relations
ⓘ
measurement problem in quantum mechanics ⓘ statistical interpretation of quantum mechanics ⓘ uncertainty relations ⓘ |
| EnglishTranslationPublicationYear | 1955 ⓘ |
| EnglishTranslator | Robert T. Beyer ⓘ |
| fieldOfWork |
mathematical physics
ⓘ
mathematics ⓘ theoretical physics ⓘ |
| formulates |
axioms of quantum mechanics
ⓘ
projection postulate ⓘ |
| hasEnglishTranslation |
Mathematical Foundations of Quantum Mechanics
self-linksurface differs
ⓘ
surface form:
Mathematical Foundations of Quantum Mechanics (English edition)
|
| influenced |
Copenhagen interpretation of quantum mechanics
ⓘ
surface form:
Copenhagen interpretation formalism
algebraic quantum field theory ⓘ modern axiomatic formulations of quantum mechanics ⓘ operator-algebraic approaches to quantum theory ⓘ quantum logic ⓘ |
| influencedBy |
Erwin Schrödinger
ⓘ
Max Born ⓘ Paul Dirac ⓘ Werner Heisenberg ⓘ |
| introduces |
density operator formalism
ⓘ
projection-valued measures ⓘ von Neumann measurement scheme ⓘ |
| languageOfWorkOrName | German ⓘ |
| mainSubject |
Hilbert spaces
ⓘ
functional analysis ⓘ operator theory ⓘ quantum mechanics ⓘ |
| notableFor |
being a landmark treatise on the mathematics of quantum mechanics
ⓘ
systematic use of Hilbert space methods in quantum theory ⓘ |
| originalTitle |
Mathematical Foundations of Quantum Mechanics
self-linksurface differs
ⓘ
surface form:
Mathematische Grundlagen der Quantenmechanik
|
| publicationYear | 1932 ⓘ |
| publisher | Springer ⓘ |
| uses |
Hilbert space formalism
ⓘ
functional analysis ⓘ measure theory ⓘ self-adjoint operators ⓘ spectral theory ⓘ |
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Subject: Mathematical Foundations of Quantum Mechanics Description of subject: Mathematical Foundations of Quantum Mechanics is John von Neumann’s landmark 1932 treatise that rigorously formulates quantum theory using functional analysis and operator theory on Hilbert spaces.
Referenced by (5)
Full triples — surface form annotated when it differs from this entity's canonical label.
Mathematical Foundations of Quantum Mechanics
→
originalTitle
→
Mathematical Foundations of Quantum Mechanics
self-linksurface differs
ⓘ
this entity surface form:
Mathematische Grundlagen der Quantenmechanik
Mathematical Foundations of Quantum Mechanics
→
hasEnglishTranslation
→
Mathematical Foundations of Quantum Mechanics
self-linksurface differs
ⓘ
this entity surface form:
Mathematical Foundations of Quantum Mechanics (English edition)
this entity surface form:
Mathematical Foundations of Quantum Mechanics (lectures and papers)