Time in quantum mechanics
| Abstract | Many physicists believe that time constitutes a serious problem in quantum mechanics. We show nevertheless that quantum mechanics does not involve a special problem for time, and that there is no fundamental asymmetry between space and time in quantum mechanics over and above the asymmetry that already exists in classical physics. The apparent problem of time arises when the time parameter is put on a par with dynamical position variables rather than with the coordinates of space. The commutation relations and uncertainty relations are generally considered to embody the essential content of elementary quantum mechanics, but the traditional mathematical expression of the uncertainty principle it shown to be quite unsatisfactory. It is the total energy that decrees whether or not the time variables of a system can be sharply determined. | |||||||||
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P. A. M. Dirac (1930). The Principles of Quantum Mechanics. Oxford, the Clarendon Press.
Frank Arntzenius (2003). Is Quantum Mechanics Pointless? Philosophy of Science 70 (5):1447-1457.
Frank Arntzenius (2003). Is Quantum Mechanics Pointless? Philosophy of Science 70 (5):1447-1457.
W. David Sharp & Niall Shanks (1993). The Rise and Fall of Time-Symmetrized Quantum Mechanics. Philosophy of Science 60 (3):488-499.
Roger Penrose & C. J. Isham (eds.) (1986). Quantum Concepts in Space and Time. New York ;Oxford University Press.
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.
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