Time in quantum mechanics
| Abstract | Time is often said to play in quantum mechanics an essentially different role from position: whereas position is represented by a Hermitian operator, time is represented by a c-number. This discrepancy has been found puzzling and has given rise to a vast literature and many efforts at a solution. In this paper it is argued that the discrepancy is only apparent and that there is nothing in the formalism of (standard) quantum mechanics that forces us to treat position and time differently. The apparent problem is caused by the dominant role point particles play in physics and can be traced back to classical mechanics. | |||||||||
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Hans Halvorson (2001). On the Nature of Continuous Physical Quantities in Classical and Quantum Mechanics. Journal of Philosophical Logic 30 (1):27-50.
Hans Halvorson (2001). On the Nature of Continuous Physical Quantities in Classical and Quantum Mechanics. Journal of Philosophical Logic 30 (1):27-50.
Mario Castagnino, Manuel Gadella & Olimpia Lombardi (2005). Time's Arrow and Irreversibility in Time-Asymmetric Quantum Mechanics. International Studies in the Philosophy of Science 19 (3):223 – 243.
Peter Gibbins (1987). Particles and Paradoxes: The Limits of Quantum Logic. Cambridge University Press.
Steven Weinstein (2001). Absolute Quantum Mechanics. British Journal for the Philosophy of Science 52 (1):67-73.
Steven Weinstein (2001). Absolute Quantum Mechanics. British Journal for the Philosophy of Science 52 (1):67-73.
Valia Allori & Nino Zanghi (2008). On the Classical Limit of Quantum Mechanics. Foundations of Physics 10.1007/S10701-008-9259-4.
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