Generalized Symmetry Transformations on Quaternionic Indefinite Inner Product Spaces: An Extension of Quaternionic Version of Wigner's Theorem

Communications in Mathematical Physics

Volumn 242, Issue 3, 2003, Pages 579-584

  Šemrl, Peter ^a  

^a UNIVERSITY OF LJUBLJANA   (Slovenia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0344551992     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-003-0957-7     Document Type: Article

References (10)

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2. Bracci, L., Morchio, G., Strocchi, F: Wigner's theorem on symmetries in indefinite metric spaces. Commun. Math. Phys. 41, 289-299 (1975)
3. Van den Broek, P.M.: Symmetry transformations in indefinite metric spaces: A generalization of Wigner's theorem. Physica A 127, 599-612 (1984)
4. Finkelstein, J., Jauch, J.M., Schiminovich, S., Speiser, D.: Foundations of quaternion quantum mechanics. J. Math. Phys. 3, 207-220 (1962)
5. Molnár, L.: Generalization of Wigner's unitary-antiunitary theorem for indefinite inner product spaces. Commun. Math. Phys. 201, 785-791 (2000)
6. Molnár, L.: Orthogonality preserving transformations on indefinite inner product spaces: generalization of Uhlhorn's version of Wigner's theorem. J. Funct. Anal. 194, 248-262 (2002)
7. Ovchinnikov, P.G.: Automorphisms of the poset of skew projections. J. Funct. Anal. 115, 184-189 (1993)
8. Šemrl, P.: Applying projective geometry to transformations on rank one idempotents. J. Funct. Anal., to appear
9. Sharma, C.S., Almeida, D.F.: Additive isometries on a quaternionic Hilbert space. J. Math. Phys. 31, 1035-1041 (1990)
10. Uhlhorn, U.: Representation of symmetry transformations in quantum mechanics. Ark. Fysik 23, 307-340 (1963)