Quantum mechanics: From complex to complexified quaternions

@article{Leo1997QuantumMF,
  title={Quantum mechanics: From complex to complexified quaternions},
  author={S. Leo and W. A. Rodrigues},
  journal={International Journal of Theoretical Physics},
  year={1997},
  volume={36},
  pages={2725-2757}
}
  • S. Leo, W. A. Rodrigues
  • Published 1997
  • Mathematics
  • International Journal of Theoretical Physics
  • This paper is an attempt to simplify and clarify the mathematical language used to express quaternionic quantum mechanics (QQM). In our quaternionic approach the choice of “complex” geometries allows an appropriate definition of momentum operator and gives the possibility to obtain consistent formulations of standard theories. Barred operators represent the key to realizing a set of translation rules between quaternionic and complex quantum mechanics (QM). These translations enable us to obtain… CONTINUE READING
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