K. Scharnhorst, J.-W. van Holten: *Nonlinear Bogolyubov-Valatin
transformations: Two modes*. Annals of Physics (New York) **326**:11(2011)2868-2933
(DOI: 10.1016/j.aop.2011.05.001) [NIKHEF preprint NIKHEF/2010-005, arXiv:1002.2737].
[INSPIRE record]

**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

- Electronic copy of the article: Annals of Physics (New York)
- Electronic copy of the preprint: arXiv:1002.2737
- Citations
- Misprints, errata, addenda:
- P. 2871, in line 13 from top the sequence "is isomorphic to the twofold tensor product of the algebra of quaternions" should read: is isomorphic to the real algebra of 2x2 matrices over the algebra of quaternions.
- P. 2874, in line 7 from top the sequence "[31,35,127]" should read: [127,31,35].
- P. 2925, in ref. [54] the names of the second and the third author should read correctly: J. da Providência, C. Providência.
- P. 2927, in ref. [127] the author name should read correctly: B.G. Wybourne.
- P. 2929, in ref. [218] the author name should read correctly: Ю.П. Степановський [Yu.P. Stepanovs'kiĭ].
- P. 2929, in the fourth line of [221] the sequence "[100,230] (also note [110]),"should read correctly: [230], [100] (also note [110]),.
- P. 2931, in ref. [263] title sequence "1965 - 25 Mei - 1935" should read correctly: 1865 - 25 Mei - 1935.
- P. 2931, in the first line of [267] the sequence "[105,268], p. 37" should read correctly: [268] , [105], p. 37.
- P. 2931, in the first line of ref. [288] the word "Metereol." should read correctly: Meteorol..

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