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

Symmetries of the Schrödinger Equation and Algebra/Superalgebra Duality

arXiv
Authors: Francesco Toppan

Year

2014

Paper ID

46206

Status

Preprint

Abstract Read

~2 min

Abstract Words

94

Citations

N/A

Abstract

Some key features of the symmetries of the Schrödinger equation that are common to a much broader class of dynamical systems (some under construction) are illustrated. I discuss the algebra/superalgebra duality involving first and second-order differential operators. It provides different viewpoints for the spectrum-generating subalgebras. The representation-dependent notion of on-shell symmetry is introduced. The difference in associating the time-derivative symmetry operator with either a root or a Cartan generator of the sl(2) subalgebra is discussed. In application to one-dimensional Lagrangian superconformal sigma-models it implies superconformal actions which are either supersymmetric or non-supersymmetric.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • Some key features of the symmetries of the Schrödinger equation that are common to a much broader class of dynamical systems (some under construction) are illustrated.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1411.7867 [2] arXiv https://arxiv.org/abs/1411.7867 [3] Publisher https://arxiv.org/abs/1411.7867

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