Fermi-Dirac quantization of linear systems
β Scribed by P. Broadbridge; C.A. Hurst
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 819 KB
- Volume
- 137
- Category
- Article
- ISSN
- 0003-4916
No coin nor oath required. For personal study only.
β¦ Synopsis
After discussing the Fermion analogues of classical mechanics, we show that in finite degrees of freedom, the Segal-Weinless construction of the vacuum representation is always possible. This amounts to an explicit construction of a complex structure J which extends real Euclidean space with orthogonal dynamics to a complex Hilbert space with unitary dynamics. Also, we solve the inverse problem, deducing the class of classical Hamiltonians, given the complex structure J.
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