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• W1976705977 endingPage "938" @default.
• W1976705977 startingPage "933" @default.
• W1976705977 abstract "A derivation from first principles is given of the energy-time uncertainty relation in quantum mechanics. A canonical transformation is made in classical mechanics to a new canonical momentum, which is energy E, and a new canonical coordinate T, which is called tempus, conjugate to the energy. Tempus T, the canonical coordinate conjugate to the energy, is conceptually different from the time t in which the system evolves. The Poisson bracket is a canonical invariant, so that energy and tempus satisfy the same Poisson bracket as do p and q. When the system is quantized, we find the energy-time uncertainty relation ensuremath{Delta}Eensuremath{Delta}Tensuremath{ge}ensuremath{Elzxh}/2. For a conservative system the average of the tempus operator T^ is the time t plus a constant. For a free particle and a particle acted on by a constant force, the tempus operators are constructed explicitly, and the energy-time uncertainty relation is explicitly verified." @default.
• W1976705977 created "2016-06-24" @default.
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• W1976705977 date "1994-08-01" @default.
• W1976705977 modified "2023-10-18" @default.
• W1976705977 title "Derivation of the energy-time uncertainty relation" @default.
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• W1976705977 doi "https://doi.org/10.1103/physreva.50.933" @default.
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