Gao, Shan (2013) Space-time, relativity and quantum mechanics: In search of a deeper connection. [Preprint]
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Abstract
It has been shown that the Lorentz transformations in special relativity can be derived in terms of the principle of relativity and certain properties of space and time such as homogeneity. In this paper, we argue that the free Schrodinger equation in quantum mechanics may also be regarded as a consequence of the homogeneity of space and time and the principle of relativity when assuming linearity of time evolution.
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Item Type: | Preprint | ||||||
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Keywords: | spacetime translation invariance, relativistic invariance, linear quantum evolution, free Schrodinger equation | ||||||
Subjects: | General Issues > Laws of Nature Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Relativity Theory Specific Sciences > Physics > Symmetries/Invariances |
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Depositing User: | Dr. Shan Gao | ||||||
Date Deposited: | 01 Sep 2013 14:15 | ||||||
Last Modified: | 01 Sep 2013 14:15 | ||||||
Item ID: | 9969 | ||||||
Subjects: | General Issues > Laws of Nature Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Relativity Theory Specific Sciences > Physics > Symmetries/Invariances |
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Date: | 1 September 2013 | ||||||
URI: | https://philsci-archive.pitt.edu/id/eprint/9969 |
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