We develop a relativistic free wave equation on the complexified quaternions, linear in the derivatives. Even if the wave functions are only one-component, we show that four independent solutions, corresponding to those of the Dirac equation, exist. A partial set of translations between complex and complexified quaternionic quantum mechanics may be defined.
机构:
Royal Inst Technol, Dept Numer Anal & Comp Sci, SE-10044 Stockholm, SwedenRoyal Inst Technol, Dept Numer Anal & Comp Sci, SE-10044 Stockholm, Sweden
Simdyankin, SI
Taraskin, SN
论文数: 0引用数: 0
h-index: 0
机构:Royal Inst Technol, Dept Numer Anal & Comp Sci, SE-10044 Stockholm, Sweden
Taraskin, SN
Dzugutov, M
论文数: 0引用数: 0
h-index: 0
机构:Royal Inst Technol, Dept Numer Anal & Comp Sci, SE-10044 Stockholm, Sweden
Dzugutov, M
Elliott, SR
论文数: 0引用数: 0
h-index: 0
机构:Royal Inst Technol, Dept Numer Anal & Comp Sci, SE-10044 Stockholm, Sweden
机构:
Tohoku Univ, Grad Sch Informat Sci, Aoba Ku, Sendai, Miyagi 9808579, JapanTohoku Univ, Grad Sch Informat Sci, Aoba Ku, Sendai, Miyagi 9808579, Japan