Abstract
Irreducible representations of the de Sitter algebra and the position operator are discussed in representations where all quantum numbers are discrete. This is convenient for generalizing standard quantum theory (based on classical mathematics) to quantum theory based on finite mathematics.
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© 2020 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
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Lev, F. (2020). Algebraic Description of Irreducible Representations. In: Finite Mathematics as the Foundation of Classical Mathematics and Quantum Theory. Springer, Cham. https://doi.org/10.1007/978-3-030-61101-9_4
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DOI: https://doi.org/10.1007/978-3-030-61101-9_4
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Publisher Name: Springer, Cham
Print ISBN: 978-3-030-61100-2
Online ISBN: 978-3-030-61101-9
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