Quaternionic and octonionic representations of the Klein-Gordon and Dirac equations. (English) Zbl 1133.30333
Summary: We revisit the correspondence between hypercomplex derivatives and R. Fueter’s regularity [Comment. Math. Helv. 7, 307–330 (1935; Zbl 0012.01704)], and establish relations between differentiability of hypercomplex with both Klein-Gordon and Dirac equations of relativistic quantum mechanics.
MSC:
30G35 | Functions of hypercomplex variables and generalized variables |
35Q40 | PDEs in connection with quantum mechanics |