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HandWiki. Magnus Expansion. Encyclopedia. Available online: https://encyclopedia.pub/entry/30666 (accessed on 21 September 2026).
HandWiki. Magnus Expansion. Encyclopedia. Available at: https://encyclopedia.pub/entry/30666. Accessed September 21, 2026.
HandWiki. "Magnus Expansion" Encyclopedia, https://encyclopedia.pub/entry/30666 (accessed September 21, 2026).
HandWiki. (2022, October 21). Magnus Expansion. In Encyclopedia. https://encyclopedia.pub/entry/30666
HandWiki. "Magnus Expansion." Encyclopedia. Web. 21 October, 2022.
Magnus Expansion
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The content is sourced from: https://handwiki.org/wiki/Physics:Magnus_expansion

In mathematics and physics, the Magnus expansion, named after Wilhelm Magnus (1907–1990), provides an exponential representation of the solution of a first-order homogeneous linear differential equation for a linear operator. In particular, it furnishes the fundamental matrix of a system of linear ordinary differential equations of order n with varying coefficients. The exponent is aggregated as an infinite series, whose terms involve multiple integrals and nested commutators.

fundamental matrix differential equation physics

References

  1. Kamm, Pagliarani & Pascucci 2020
  2. Kamm, Pagliarani & Pascucci 2020, Theorem 1.1
  3. Haeberlen, U.; Waugh, J.S. (1968). "Coherent Averaging Effects in Magnetic Resonance". Phys. Rev. 175 (2): 453–467. doi:10.1103/PhysRev.175.453. Bibcode: 1968PhRv..175..453H.  https://dx.doi.org/10.1103%2FPhysRev.175.453
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