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 JAMP  Vol.6 No.4 , April 2018
A Simple Remark Leading to a Basic Precision Estimate for Non-Relativistic (NR) Real Values of Quantum Mechanics Operators
Abstract: Starting with a very basic statement that any physical constants cannot be written with an infinite precision, it is shown how to introduce this uncertainty into the Hamiltonian of non-relativistic atomic (NR) physics and how to estimate errors on quantum operators (energy, frequency, momenta) when an uncertainty is assigned to . The Schrödinger equation is written and the kinetic energy term is transformed into a Laplacian: . This transformation leads (as known since 1926) to the wave equation, whose solutions are wave functions. The relativity correction to the kinetic energy term is introduced and its effect is discussed. (h constant has an uncertainty value taken from CODATA.)
Cite this paper: Kertanguy, A. (2018) A Simple Remark Leading to a Basic Precision Estimate for Non-Relativistic (NR) Real Values of Quantum Mechanics Operators. Journal of Applied Mathematics and Physics, 6, 831-835. doi: 10.4236/jamp.2018.64071.
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[4]   Quinn, T.J. (1995) Base Units of the Système International d’Unités, Their Accuracy, Dissemination and International Traceability. Metrologia, 31, 515-527.
https://doi.org/10.1088/0026-1394/31/6/011

 
 
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