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On the Formation of Quantum-Mechanical Operators

1959/01/01 by John Robert Shewell · 4 citations
Physics and Astronomy · Engineering · Mathematics · #Quantum Mechanics and Applications #Mechanical and Optical Resonators #Geophysics and Sensor Technology #Symmetrization #Physics #Interpretation (philosophy) #Symmetry in quantum mechanics #Interpretations of quantum mechanics #Relational quantum mechanics #Theoretical physics #Consistent histories #Quantum mechanics #Quantum #Quantum process #Classical mechanics #Quantum dynamics #Mathematics #Computer science #Mathematical analysis

paper · doi:10.1119/1.1934740

openalex publication_date 1959/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/05/21

Abstract

A number of rules for forming operators corresponding to classical quantities are investigated. Spin and relativistic effects are excluded from consideration. The two rules which are in agreement with the customary interpretation of quantum mechanics are ambiguous in that they do not yield unique operators. The other rules considered yield unique operators but are in disagreement with the customary interpretation of quantum mechanics. It is shown that any symmetrization rule is in this category. All the rules investigated are linear, but no attempt is made to formulate a nonlinear rule. It is indicated that additional experimental evidence is necessary to clarify the question of quantum-mechanical operators.

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