Back
 JMP  Vol.6 No.5 , April 2015
On Hypercomplex Extensions of Quantum Theory
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.
Cite this paper: Sepunaru, D. (2015) On Hypercomplex Extensions of Quantum Theory. Journal of Modern Physics, 6, 698-709. doi: 10.4236/jmp.2015.65075.
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

 
 
Top