Abstract
Symmetries of the Lévy-Leblond equation are investigated beyond the standard Lie framework. It is shown that the equation has two remarkable symmetries. One is given by the super Schrödinger algebra and the other by a Z2×Z2 graded Lie algebra. The Z2×Z2 graded Lie algebra is achieved by transforming bosonic into fermionic operators in the super Schrödinger algebra and introducing second order differential operators as generators of symmetry.
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Aizawa, N., Kuznetsova, Z., Tanaka, H., Toppan, F. (2017). Generalized supersymmetry and the Lévy-Leblond equation. In: Duarte, S., Gazeau, JP., Faci, S., Micklitz, T., Scherer, R., Toppan, F. (eds) Physical and Mathematical Aspects of Symmetries. Springer, Cham. https://doi.org/10.1007/978-3-319-69164-0_11
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DOI: https://doi.org/10.1007/978-3-319-69164-0_11
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-69163-3
Online ISBN: 978-3-319-69164-0
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