Nonlinear Bogolyubov-Valatin transformations: 2 modes

Published: Feb 14, 2010
Abstract
Extending our earlier study of nonlinear Bogolyubov-Valatin transformations (canonical transformations for fermions) for one fermionic mode, in the present paper we perform a thorough study of general (nonlinear) canonical transformations for two fermionic modes. We find that the Bogolyubov-Valatin group for n=2 fermionic modes which can be implemented by means of unitary SU(2^n = 4) transformations is isomorphic to SO(6;R)/Z_2. The...
Paper Details
Title
Nonlinear Bogolyubov-Valatin transformations: 2 modes
Published Date
Feb 14, 2010
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