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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CITATION STYLE
APA
Taylor, M. E. (2011). Dirac Operators and Index Theory. In Applied Mathematical Sciences (Switzerland) (Vol. 116, pp. 281–360). Springer. https://doi.org/10.1007/978-1-4419-7052-7_4
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