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.

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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.

John von Neumann notableWork Mathematical Foundations of Quantum Mechanics
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)
von Neumann measurement scheme describedIn Mathematical Foundations of Quantum Mechanics
Walter Heitler hasPublication Mathematical Foundations of Quantum Mechanics
this entity surface form: Mathematical Foundations of Quantum Mechanics (lectures and papers)