ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
In this article a general linear quantum transformation U for the following fermion system with n modes, (b'+,b˜')=U(b+,b˜)U−1=(b+,b˜)(B˜, A, C˜D), is studied. All above transformations in Fock space are proved to form a ray representation of a group which is isomorphic with O(2n,C). The explicit expressions of operator U in terms of the normal ordered product and non-normal ordered product are obtained. A series of auxiliary identities are given. It has been mentioned that the results are applicable to the case of fermion fields with interaction.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.530274
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