Abstract
In this supplementary chapter I discuss the brute force extraction of a Lie exponent by using the Taylor series of the logarithm. This is not totally trivial because I lack a matrix representation. It must be pointed out that in general matrices can have complex logarithms just like numbers, however I am interested here in real maps having real Lie operators as logarithm. It could include spin.
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Reference
E. Forest, Beam Dynamics: A New Attitude and Framework (Harwood Academic Publishers, Amsterdam, The Netherlands, 1997)
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© 2016 Springer Japan
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Forest, E. (2016). The Logarithm of a Map. In: From Tracking Code to Analysis. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55803-3_11
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DOI: https://doi.org/10.1007/978-4-431-55803-3_11
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Publisher Name: Springer, Tokyo
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Online ISBN: 978-4-431-55803-3
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