Skip to main content

The Logarithm of a Map

  • Chapter
  • First Online:
From Tracking Code to Analysis
  • 617 Accesses

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Reference

  1. E. Forest, Beam Dynamics: A New Attitude and Framework (Harwood Academic Publishers, Amsterdam, The Netherlands, 1997)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Etienne Forest .

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer Japan

About this chapter

Cite this chapter

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

Download citation

Publish with us

Policies and ethics