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Dirac Operators and Index Theory

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Partial Differential Equations II

Part of the book series: Applied Mathematical Sciences ((AMS,volume 116))

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Abstract

The physicist P. A. M. Dirac constructed first-order differential operators whose squares were Laplace operators, or more generally wave operators, for the purpose of extending the Schrodinger–Heisenberg quantum mechanics to the relativistic setting. Related operators have been perceived to have central importance in the interface between PDE and differential geometry, and we discuss some of this here.

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Authors and Affiliations

  1. Department of Mathematics, University of North Carolina, Chapel Hill, NC, 27599, USA

    Michael E. Taylor

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  1. Michael E. Taylor
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Correspondence to Michael E. Taylor .

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Taylor, M.E. (2011). Dirac Operators and Index Theory. In: Partial Differential Equations II. Applied Mathematical Sciences, vol 116. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-7052-7_4

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