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Quantized states of spin emerging in classical spinor calculus

Published online by Cambridge University Press:  30 September 2008

A. Oscoz ,
E. Mediavilla ,
M. Serra-Ricart ,
J. Buitrago  and
S. Hajjawi
J. Buitrago*
Affiliation:
Department of Astrophysics of the University of La Laguna, Avenida Francisco Sanchez, s/n, 38205, La Laguna, Tenerife, Spain
S. Hajjawi
Affiliation:
Department of Astrophysics of the University of La Laguna, Avenida Francisco Sanchez, s/n, 38205, La Laguna, Tenerife, Spain
*
jgb@iac.es
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Abstract

The trajectory of a charged-massive point-particle in presence of an external magnetic field, at the classical level, is here obtained by using spinorial equations of motion. Within this representation the solution is given by means of two 2-component Weyl-spinors which contain global phase-factors coinciding with the quantum representation of a 1/2 spin particle in its rest-frame. Each individual spinor may be then associated to the up- and -down state respectively. The formalism then appears to reveal classical properties of the spin as well as quantum ones.

Type
Research Article
Information
European Astronomical Society Publications Series , Volume 30: Spanish Relativity Meeting - Encuentros Relativistas Españoles , ERE2007: Relativistic Astrophysics and Cosmology , 2008 , pp. 125 - 130
Copyright
© EAS, EDP Sciences, 2008

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References

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Buitrago, J., 1995, Eur. J. Phys., 16, 113 CrossRef
Buitrago, J., & Hajjawi, S., 2007, Lorentz-force-like equation as a Consequece of a Spinorial Structure of Space-Time, J. Math. Phys., 47