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How to Calculate the Exponential of Matrices

Quantum Physics 2012-07-27 v1 Mathematical Physics math.MP

Abstract

How to calculate the exponential of matrices in an explicit manner is one of fundamental problems in almost all subjects in Science. Especially in Mathematical Physics or Quantum Optics many problems are reduced to this calculation by making use of some approximations whether they are appropriate or not. However, it is in general not easy. In this paper we give a very useful formula which is both elementary and getting on with computer.

Cite

@article{arxiv.quant-ph/0604115,
  title  = {How to Calculate the Exponential of Matrices},
  author = {Kazuyuki Fujii and Hiroshi Oike},
  journal= {arXiv preprint arXiv:quant-ph/0604115},
  year   = {2012}
}

Comments

Latex ; 15 pages ; 1 figure. The result is not new unfortunately, while the method is elementary and new. Since the formula is very convenient, it may be worth recording

R2 v1 2026-07-22T19:54:36.803Z