Mathematische Grundlagen der Quantenmechanik¶
von Neumann, J. (1932). Mathematische Grundlagen der Quantenmechanik. Springer.
Cited by¶
3 citations across 3 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Entropy (Thermodynamic Sense)
- The quantum analog, von Neumann entropy S = −Tr(ρ log ρ), extends the classical form to density-matrix formalism
This sourceIntroduces the von Neumann entropy S(ρ) = −Tr(ρ log ρ), generalizing the Gibbs entropy to the density-matrix formalism of quantum mechanics.
- The quantum analog, von Neumann entropy S = −Tr(ρ log ρ), extends the classical form to density-matrix formalism
- Measurement and Disturbance
- This is distinct from measurement noise; disturbance is systematic change introduced by measurement, not random error in the measurement apparatus, a separation rigorously developed in von Neumann's (1932) mathematical formulation of measurement as a coupled-system interaction.
This sourceCanonical mathematical formalization of quantum measurement as a coupled-system interaction; rigorously distinguishes apparatus-induced systematic state change (disturbance) from random measurement error (noise).
- This is distinct from measurement noise; disturbance is systematic change introduced by measurement, not random error in the measurement apparatus, a separation rigorously developed in von Neumann's (1932) mathematical formulation of measurement as a coupled-system interaction.
- Superposition
This sourceRigorous Hilbert-space formulation showing collapse as projection; establishes mathematical foundations for basis transformations.
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