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.
Aliases (2)
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
book
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scientific monograph → |
| author |
John von Neumann
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|
| contribution |
axiomatic basis for quantum probability
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operator-algebraic framework for quantum observables → rigorous mathematical formulation of quantum theory → |
| countryOfOrigin |
Germany
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|
| defines |
observables as self-adjoint operators
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quantum states as rays in Hilbert space → |
| discusses |
commutation relations
→
measurement problem in quantum mechanics → statistical interpretation of quantum mechanics → uncertainty relations → |
| EnglishTranslationPublicationYear |
1955
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|
| EnglishTranslator |
Robert T. Beyer
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|
| fieldOfWork |
mathematical physics
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mathematics → theoretical physics → |
| formulates |
axioms of quantum mechanics
→
projection postulate → |
| hasEnglishTranslation |
Mathematical Foundations of Quantum Mechanics (English edition)
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|
| influenced |
Copenhagen interpretation formalism
→
algebraic quantum field theory → modern axiomatic formulations of quantum mechanics → operator-algebraic approaches to quantum theory → quantum logic → |
| influencedBy |
Erwin Schrödinger
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Max Born → Paul Dirac → Werner Heisenberg → |
| introduces |
density operator formalism
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projection-valued measures → von Neumann measurement scheme → |
| languageOfWorkOrName |
German
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|
| mainSubject |
Hilbert spaces
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functional analysis → operator theory → quantum mechanics → |
| notableFor |
being a landmark treatise on the mathematics of quantum mechanics
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systematic use of Hilbert space methods in quantum theory → |
| originalTitle |
Mathematische Grundlagen der Quantenmechanik
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|
| publicationYear |
1932
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| publisher |
Springer
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|
| uses |
Hilbert space formalism
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functional analysis → measure theory → self-adjoint operators → spectral theory → |
Referenced by (4)
| Subject (surface form when different) | Predicate |
|---|---|
|
von Neumann measurement scheme
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describedIn |
|
Mathematical Foundations of Quantum Mechanics
("Mathematical Foundations of Quantum Mechanics (English edition)")
→
|
hasEnglishTranslation |
|
John von Neumann
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|
notableWork |
|
Mathematical Foundations of Quantum Mechanics
("Mathematische Grundlagen der Quantenmechanik")
→
|
originalTitle |