Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Spin matrix exponentials and transmission matrices


Author: L. Young
Journal: Quart. Appl. Math. 19 (1961), 25-30
MSC: Primary 78.00
DOI: https://doi.org/10.1090/qam/119823
MathSciNet review: 119823
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Abstract: The three Pauli spin matrices $ {\sigma _i}\left( {i = 1,2,3} \right)$ occur in the mechanical, especially quantum mechanical, theory of rotation in three-dimensional space. The three spin matrix exponentials are here defined as exp $ \left( {{\sigma _i}x} \right)$, where $ x$ is the independent variable. Transmission matrices can be expressed in terms of spin matrix exponentials, thereby permitting a more systematic treatment of transmission line circuits.


References [Enhancements On Off] (What's this?)

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DOI: https://doi.org/10.1090/qam/119823
Article copyright: © Copyright 1961 American Mathematical Society


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