Contemplations on Dirac’s equation in quaternionic coordinates
نویسندگان
چکیده
A formulation of Dirac’s equation using complex-quaternionic coordinates appears to yield an enormous gain in formal elegance, as there is no longer any need to invoke Dirac matrices. This formulation, however, entails several peculiarities, which we investigate and attempt to interpret.
منابع مشابه
55 v 2 2 9 N ov 2 00 2 Lanczos ’ s equation as a way out of the spin 3 / 2 crisis ?
It is shown (1) that Lanczos’s quaternionic formulation of Dirac’s equation does not lead to a solution of the problems that plague the standard spin 3/2 theory based on the Rarita-Schwinger equation, but (2) that the fourcomponent solutions to the quaternionic generalization of Dirac’s equation proposed by Lanczos in 1929 may provide a consistent theory for spin 3/2 particles, although at the ...
متن کاملct 2 00 2 Lanczos ’ s equation as a way out of the spin 3 / 2 crisis ?
It is shown (1) that Lanczos’s quaternionic formulation of Dirac’s equation does not lead to a solution of the problems that plague the standard spin 3/2 theory based on the Rarita-Schwinger equation, but (2) that the fourcomponent solutions to the quaternionic generalization of Dirac’s equation proposed by Lanczos in 1929 may provide a consistent theory for spin 3/2 particles, although at the ...
متن کاملar X iv : m at h - ph / 0 21 00 55 v 3 6 J an 2 00 3 Lanczos ’ s equation as a way out of the spin 3 / 2 crisis ?
It is shown (1) that Lanczos’s quaternionic formulation of Dirac’s equation does not lead to a solution of the problems that plague the standard spin 3/2 theory based on the Rarita-Schwinger equation, but (2) that the four-component solutions to the quaternionic generalization of Dirac’s equation proposed by Lanczos in 1929 may provide a consistent theory for spin 3/2 particles, although at the...
متن کاملar X iv : h ep - p h / 01 12 31 7 v 1 2 3 D ec 2 00 1 Lanczos ’ s equation to replace Dirac ’ s equation ?
Lanczos’s quaternionic interpretation of Dirac’s equation provides a unified description for all elementary particles of spin 0, 1 2 , 1, and 3 2 . The Lagrangian formulation given by Einstein and Mayer in 1933 predicts two main classes of solutions. (1) Point like partons which come in two families, quarks and leptons. The correct fractional or integral electric and baryonic charges, and zero ...
متن کاملar X iv : h ep - p h / 01 12 31 7 v 2 1 8 O ct 2 00 8 Lanczos ’ s equation to replace Dirac ’ s equation ?
Lanczos’s quaternionic interpretation of Dirac’s equation provides a unified description for all elementary particles of spin 0, 1 2 , 1, and 3 2 . The Lagrangian formulation given by Einstein and Mayer in 1933 predicts two main classes of solutions. (1) Point like partons which come in two families, quarks and leptons. The correct fractional or integral electric and baryonic charges, and zero ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2004