2007/12/18 by R. N. Sen
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Calculus (dental) #Computer science #Eigenvalues and eigenvectors #Mathematical analysis #Mathematics #Measure (data warehouse) #Operator (biology) #Physics #Pure mathematics #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Theoretical physics #Variable (mathematics) #Von Neumann architecture #quant-ph
paper · pdf · doi:10.1007/s10701-007-9203-z
20 pages
arxiv created 2007/12/18 · openalex publication_date 2007/12/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Wigner had expressed the opinion that the impossibility of exact measurements of single operators like position operators rendered the notion of geometrical points somewhat dubious in physics. Using Sewell's recent resolution of the measurement problem (collapse of the wave packet) in quantum mechanics and extending it to the measurement of operators with continuous spectra, we are able to compare the situation in quantum mechanics with that in quantum mechanics. Our conclusion is that the notion of a geometrical point is as meaningful in quantum mechanics as it is in classical mechanics.