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- W4283769439 abstract "Phenomenological studies of quantum gravity have proposed a modification of the commutator between position and momentum in quantum mechanics so to introduce a minimal uncertainty in position in quantum mechanics. Such a minimal uncertainty and the consequent minimal measurable length have important consequences on the dynamics of quantum systems. In the present work, we show that such consequences go beyond dynamics, reaching the definition of quantities such as energy, momentum, and the same Hamiltonian. Furthermore, since the Hamiltonian, defined as the generator of time evolution, results to be bounded, a minimal length implies a minimal time." @default.
- W4283769439 created "2022-07-03" @default.
- W4283769439 creator A5085929818 @default.
- W4283769439 date "2022-06-30" @default.
- W4283769439 modified "2023-09-23" @default.
- W4283769439 title "Space and time transformations with a minimal length" @default.
- W4283769439 doi "https://doi.org/10.48550/arxiv.2206.15422" @default.
- W4283769439 hasPublicationYear "2022" @default.
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