Zur Quantenmechanik der Stoßvorgänge¶
Born, M. (1926). Zur Quantenmechanik der Stoßvorgänge. Zeitschrift für Physik, 37(12), 863-867.
Cited by¶
6 citations across 6 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Conjugate Variables
This sourceDevelops matrix mechanics and establishes the commutation relations [q, p] = iℏ as the defining algebraic property of quantum-mechanical operators.
- Discrete vs. Continuous (Quantization)
- Foundations span quantum mechanics (Planck 1900, Einstein 1905, Bohr 1913, de Broglie 1924, Schrödinger 1926, Heisenberg 1925, Dirac 1925 and 1930, Born 1925
This sourceIntroduces the probability (Born-rule) interpretation of the wavefunction via scattering theory. Cited as a foundational quantum-mechanics source.
- Foundations span quantum mechanics (Planck 1900, Einstein 1905, Bohr 1913, de Broglie 1924, Schrödinger 1926, Heisenberg 1925, Dirac 1925 and 1930, Born 1925
- Probability
- In physics, probability is the substrate of statistical mechanics (microcanonical, canonical, grand canonical ensembles), of quantum mechanics (the Born rule mapping amplitudes to probabilities, introduced by Born (1926) in the analysis of collision processes), of thermodynamic fluctuations, and of scattering cross-sections — wherever many degrees of freedom or fundamental indeterminacy require ensemble description.
This sourceIntroduces the probabilistic (Born-rule) interpretation of the quantum-mechanical wavefunction in the analysis of collision processes; foundation for probability as the substrate of quantum mechanics. Awarded the 1954 Nobel Prize in Physics.
- In physics, probability is the substrate of statistical mechanics (microcanonical, canonical, grand canonical ensembles), of quantum mechanics (the Born rule mapping amplitudes to probabilities, introduced by Born (1926) in the analysis of collision processes), of thermodynamic fluctuations, and of scattering cross-sections — wherever many degrees of freedom or fundamental indeterminacy require ensemble description.
- Stochasticity vs. Determinism
- Entanglement, superposition, and measurement collapse all exhibit the stochastic character: as Born (1926) first formalized, the quantum state does not fully specify which outcome will occur, only the likelihood of each.
This sourceIntroduces the probabilistic (Born-rule) interpretation of the quantum-mechanical wavefunction in the analysis of collision processes; foundation for probability as the substrate of quantum mechanics. Awarded the 1954 Nobel Prize in Physics.
- Entanglement, superposition, and measurement collapse all exhibit the stochastic character: as Born (1926) first formalized, the quantum state does not fully specify which outcome will occur, only the likelihood of each.
- Superposition
This sourceIntroduces the probabilistic (Born-rule) interpretation of the quantum-mechanical wavefunction in the analysis of collision processes; foundation for probability as the substrate of quantum mechanics. Awarded the 1954 Nobel Prize in Physics.
- Wave-Particle Duality
- The measurement-induced collapse refers to how interaction with apparatus projects the superposition onto a definite outcome.
This sourceBorn proposes probability interpretation: |ψ(x)|² gives probability density for finding particle at location x, unifying wave equation with particle detection statistics.
- The measurement-induced collapse refers to how interaction with apparatus projects the superposition onto a definite outcome.
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