Quaternionic quantum mechanics and Adler's chromostatics
Part of the Lecture Notes in Physics book series (LNP, volume 135)
Canonical Transformation and Quantum Mechanics
KeywordsGauge Group Tensor Product Gauge Field Quaternion Algebra Tensor Product Space
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Unable to display preview. Download preview PDF.
- 1.I.B. Khriplovich, Sov.Phys.JETP 47,1 (1978)[Zh.Eksp.Teor.Fiz. 74,37 (1978)]Google Scholar
- 5.S.L. Adler, “Quaternionic Chromodynamics as a Theory of Composite Quarks and Leptons”, Inst. for Adv. Study preprint, December,1979Google Scholar
- 13.L.C. Biedenharn, “Group Theoretical Approaches to Nuclear Spectroscopy”,258-421, in“Lectures in Theoretical Physics”,edited by, W.E. Brittin, B.N. Downs and Joanne Downs, Vol. 5 (Interscience, New York) 1963.Google Scholar
- 14.L.P. Horwitz, D. Sepunaru, L.C. Biedenharn, “Quaternion Quantum Mechanics and Second Qunatization”(to be submitted to Comm. Math. Phys.)Google Scholar
- 16 b).
- 16 c).
- 17.M. Günaydin and F. Gürsey, Lett. Nuovo Cimento 6, 401 (1973);Jour, Math. Phys. 14, 1651 (1973);Phys. Rev. D9, 3387(1974); F. Gursey, in /ldJohns Hopkins University Workshop on Current Problems in High Energy Particle Theory”, Baltimore, Md. (1974); M. Gunaydin, Jour. Math. Phys. 17, 1875 (1976).CrossRefGoogle Scholar
- 19.If one has two vector spaces, one quaternion linear on the left and the other quaternion linear on the right, the juxtaposed product is then quaternion linear on both the left and the right. However, this is not an acceptable tensor product since half of the quaternion action on each of the two vector spaces is lost. For more than two vector spaces even a tensor product of this type cannot be defined. We wish to thank Professor Jaques Tits for discussing this subject with us.Google Scholar
© Springer-Verlag 1980