On Hypercomplex Extensions of Quantum Theory

DOI: 10.4236/jmp.2015.65075   PDF   HTML   XML   6,120 Downloads   6,643 Views   Citations

Abstract

This paper discusses quantum mechanical schemas for describing waves with non-abelian phases, Fock spaces of annihilation-creation operators for these structures, and the Feynman recipe for obtaining descriptions of particle interactions with external fields.

Share and Cite:

Sepunaru, D. (2015) On Hypercomplex Extensions of Quantum Theory. Journal of Modern Physics, 6, 698-709. doi: 10.4236/jmp.2015.65075.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] Eckmann, B. (1943) Commentarii Mathematici Helvetici, 15, 318-339.
http://dx.doi.org/10.1007/BF02565648
[2] Rost, M. (1996) Doc. Math. J. DMV, 1, 209-214.
[3] Moufang, R. (1933) Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg, 9, 207-222.
http://dx.doi.org/10.1007/BF02940648
[4] Dyson, F.J. (1990) American Journal of Physics, 58, 209-211.
http://dx.doi.org/10.1119/1.16188
[5] Yang, C.N. and Mills, R.L. (1954) Physical Review, 96, 191-201.
http://dx.doi.org/10.1103/PhysRev.96.191
[6] Shaw, R. (1955) Ph.D. Thesis, Cambridge University, Cambridge, pt. II, ch. III.
[7] Lee, C.R. (1990) Physics Letters A, 148, 146-148.
http://dx.doi.org/10.1016/0375-9601(90)90769-K
[8] Wong, S.K. (1970) Il Nuovo Cimento A, 65, 689-694.
http://dx.doi.org/10.1007/BF02892134

  
comments powered by Disqus

Copyright © 2020 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.