Advances in Applied Clifford Algebras

, Volume 8, Issue 2, pp 433–441 | Cite as

Parton-like particle bound states as solutions of a linearized relativistic equation

  • Robert M. Yamaleev
  • Adán Rodríguez
  • Jaime Keller


Within Clifford Algebra and a twistor formalism, we analyze a simingly five dimensional and massive Dirac square root like linearized equation in terms of bilinear twistor operators. The equation is transformed to an eigenvalue problem with the help of the procedure known as Jordan’s map. The solutions for this equation consist of a discrete spectrum of massive bound particle states, which we may call elementary internal excitations. The five-dimensional formalism is embedded in otherwise standard spacetime complex Clifford Algebra.


Commutation Relation Clifford Algebra Twistor Space Twistor Theory Spinor Wave Function 
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Copyright information

© Birkhäuser-Verlag AG 1998

Authors and Affiliations

  • Robert M. Yamaleev
    • 1
  • Adán Rodríguez
    • 2
  • Jaime Keller
    • 3
    • 4
  1. 1.Joint Institut for Nuclear ResearchDubnaRussian Union
  2. 2.Instituto de Física: “Manuel Sandoval Vallarta”Universidad Autónoma de San Luis PotosíSan Luis PotosíMéxico
  3. 3.División de Estudios de Posgrado, Facultad de QuímicaUniversidad Nacional Autónoma de MéxicoMéxicoMéxico
  4. 4.Facultad de Estudios Superiores-CuautitlánUniversidad Nacional Autónoma de MéxicoMéxicoMéxico

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