On the quantization of spin systems and Fermi systems

On the quantization of spin systems and Fermi systems

It is shown that spin operators and Fermi operators can be interpreted as the Weyl quantization of some functions on a ’’classical phase space’’ which is a compact group. Moreover the transition from quantum spin to Fermi operators is an isomorphism of the ’’classical phase space’’ preserving the Ha...

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Veröffentlicht in:Journal of mathematical physics 1979-04, Vol.20 (4), p.611-616
Hauptverfasser: Combe, Ph, Rodriguez, R., Sirugue‐Collin, M., Sirugue, M.
Format: Artikel
Sprache:eng
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Zusammenfassung:It is shown that spin operators and Fermi operators can be interpreted as the Weyl quantization of some functions on a ’’classical phase space’’ which is a compact group. Moreover the transition from quantum spin to Fermi operators is an isomorphism of the ’’classical phase space’’ preserving the Haar measure.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.524130