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- W3105875501 abstract "The noncommutativity induced by a Drinfel'd twist produces Bopp-shift like transformations for deformed operators. In a single-particle setting the Drinfel'd twist allows to recover the noncommutativity obtained from various methods which are not based on Hopf algebras. In multi-particle sector, on the other hand, the Drinfel'd twist implies novel features. In conventional approaches to noncommutativity, deformed primitive operators are postulated to act additively. A Drinfel'd twist implies non-additive effects which are controlled by the coproduct. We illustrate these features for a class of (abelian twist-deformed) 2D Hamiltonians. Suitable choices of the parameters lead to the Hamiltonian of the noncommutative Quantum Hall Effect, the harmonic oscillator, the quantization of the configuration space. The non-additive effects in the multi-particle sector, leading to results departing from the existing literature, are pointed out." @default.
- W3105875501 created "2020-11-23" @default.
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- W3105875501 date "2013-07-01" @default.
- W3105875501 modified "2023-10-03" @default.
- W3105875501 title "Effects of twisted noncommutativity in multi-particle Hamiltonians" @default.
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- W3105875501 doi "https://doi.org/10.1140/epjc/s10052-013-2483-x" @default.
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