Mathematical Foundations of Quantum Mechanics¶
von Neumann, J. (1955). Mathematical Foundations of Quantum Mechanics. Princeton University Press.
Cited by¶
2 citations across 2 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Eigenvalue And Eigenvector
- In quantum mechanics, observables are operators whose eigenvalues are the measurable values and whose eigenvectors are pure states.
This sourceEstablishes that observables are self-adjoint operators whose eigenvalues are the measurable values and whose eigenvectors are the corresponding pure states.
- In quantum mechanics, observables are operators whose eigenvalues are the measurable values and whose eigenvectors are pure states.
- Vector Space
- Mathematics and physics: vectors as forces, velocities, and fields; phase space; Hilbert space as the state space of quantum mechanics; function spaces in PDE theory.
This sourceTrans. Robert T. Beyer. Princeton: Princeton University Press, 1955 (German original Mathematische Grundlagen der Quantenmechanik, Springer, Berlin, 1932). State vectors and operators on a complex Hilbert space as the formalism of quantum mechanics — supports both the quantum-state-space use and the Hilbert-space transfer claim.
- Mathematics and physics: vectors as forces, velocities, and fields; phase space; Hilbert space as the state space of quantum mechanics; function spaces in PDE theory.
Verification¶
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