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Entanglement Theory Quantum Correlations Open Quantum Systems Decoherence Quantum Simulation Quantum State Preparation Representation

Transmuted spectrum-generating algebras and detectable parastatistics of the Superconformal Quantum Mechanics

arXiv
Authors: Francesco Toppan

Year

2023

Paper ID

53260

Status

Preprint

Abstract Read

~2 min

Abstract Words

106

Citations

N/A

Abstract

In a recent paper (Balbino-de Freitas-Rana-FT, arXiv:2309.00965) we proved that the supercharges of the supersymmetric quantum mechanics can be statistically transmuted and accommodated into a Z2n-graded parastatistics. In this talk I derive the 6=1+2+3 transmuted spectrum-generating algebras whose respective $Z2n$ gradings are $n=0,1,2$ of the {cal N}=2 Superconformal Quantum Mechanics. These spectrum-generating algebras allow to compute, in the corresponding multiparticle sectors of the de Alfaro-Fubini-Furlan deformed oscillator, the degeneracies of each energy level. The levels induced by the Z2times Z2-graded paraparticles cannot be reproduced by the ordinary bosons/fermions statistics. This implies the theoretical detectability of the Z2times Z2-graded parastatistics.

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  • In a recent paper (Balbino-de Freitas-Rana-FT, arXiv:2309.00965) we proved that the supercharges of the supersymmetric quantum mechanics can be statistically transmuted and...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2312.13191 [2] arXiv https://arxiv.org/abs/2312.13191 [3] Publisher https://arxiv.org/abs/2312.13191

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