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Fermi-Dirac quantization of linear systems

✍ Scribed by P. Broadbridge; C.A. Hurst


Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
819 KB
Volume
137
Category
Article
ISSN
0003-4916

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✦ 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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