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Dirac Operators.pdf

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Preview of Dirac Operators
🔗 Source: web.math.ucsb.edu
📊 Size: 413 KB
📄 Pages: 73 pages
⬇️ Downloads: 147

Summary

Dirac discovered the Dirac operator as a square root of the Laplace operator, leading to the study of Clifford algebra and its representations, where the Clifford algebra Cl(V, g) is defined as the real algebra generated by 1, e1, · · · , en subject to the relations eiej + ejei = −2gij, with applications to quantum mechanics and relativity.

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Description

Dirac discovered the Dirac operator as a square root of the Laplace operator, leading to the study of Clifford algebra and its representations, where the...

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  • File Format: PDF
  • File Size: 413 KB
  • Pages: 73
  • Language: EN
  • Total Downloads: 147
  • Last Updated: 7 days ago

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