Abstract
In a previous paper [1–3] we presented quantum field theoretical and classical (Hamilton–Jacobi) routes to the time-dependent Schrödinger’s equation (TDSE) in which the time t and position r are regarded as parameters, not operators. From this perspective, the time in quantum mechanics is argued as being the same as the time in Newtonian mechanics. We here provide a parallel argument, based on the photon wave function, showing that the time in quantum mechanics is the same as the time in Maxwell equations.
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References
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Acknowledgments
I would like to thank R. Arnowitt, C. Summerfield, and S. Weinberg for useful and stimulating discussions. This work was supported by the Robert A. Welch Foundation grant number A-126 and the ONR award number N00014-07-1-1084.
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Scully, M.O. (2009). The Time-Dependent Schrödinger Equation Revisited: Quantum Optical and Classical Maxwell Routes to Schrödinger’s Wave Equation. In: Muga, G., Ruschhaupt, A., del Campo, A. (eds) Time in Quantum Mechanics - Vol. 2. Lecture Notes in Physics, vol 789. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03174-8_2
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DOI: https://doi.org/10.1007/978-3-642-03174-8_2
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