Positive-operator-valued time observable in quantum mechanics

1996/11/30 by R. Giannitrapani, Riccardo Giannitrapani · 8 citations
Computer Science · Physics and Astronomy · #Computability, Logic, AI Algorithms #Quantum Information and Cryptography #Quantum Mechanics and Applications #gr-qc #quant-ph

paper · pdf · doi:10.1007/bf02435757

published as International Journal of Theoretical Physics 36, 1575 (1997) · 13 pages, LaTeX, no figures. Some minor changes, expanded the bibliography (now it is bigger than the one in the published version), changed the title and the style for publication on the International Journal of Theoretical Physics

openalex publication_date 1997/07/01 · arxiv created 1998/02/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

We examine the longstanding problem of introducing a time observable in Quantum Mechanics; using the formalism of positive-operator-valued measures we show how to define such an observable in a natural way and we discuss some consequences.

Citations

• The Quantum Theory of Measurement

Cited by

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• ON NON-SELF-ADJOINT OPERATORS FOR OBSERVABLES IN QUANTUM MECHANICS AND QUANTUM FIELD THEORY
• Arrival time in quantum mechanics
• The role of the probability current for time measurements
• Quantum coordinates of an event in local quantum physics
• Quantitative probing of the quantum–classical transition for the arrival time distribution
• Transition from discrete to continuous time-of-arrival distribution for a quantum particle
• Events in a noncommutative space-time