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About Division Algebras and Quantum Theory
This document discusses how quantum theory can be formulated using real numbers, complex numbers, or quaternions as the underlying number system. While real and quaternionic formulations have some issues, the document argues these alternatives are actually three aspects of a unified structure. Irreducible unitary representations of groups on complex Hilbert spaces fall into three categories - those not isomorphic to their dual (complex), those self-dual due to a symmetric bilinear pairing (real), and those self-dual due to an antisymmetric bilinear pairing (quaternionic). This "three-fold way" sheds light on time reversal symmetry in physics.
Detailed Information
| Author: | ['Angel J Lopez'] |
|---|---|
| Publication Year: | 2011 |
| Pages: | 31 |
| Language: | English |
| Format: | |
| Price: | FREE |
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