DOI:10.29111/ijlrst ISRA Impact Factor:3.35, Peer-reviewed, Open-access Journal
Research Paper Open Access
International Journal of Latest Research in Science and Technology Vol.3 Issue 1, pp 48-52,Year 2014
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Received : 26 February 2014; Accepted : 28 February 2014 ; Published : 05 March 2014
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We establish equations for scalar and fermion fields using results obtained from a study on a phase space representation of quantum theory that we have performed in a previous work. Our approaches are similar to the historical ones to obtain Klein-Gordon and Dirac equations but the main difference is that ours are based on the use of properties of operators called dispersion-codispersion operators. We begin with a brief recall about the dispersion-codispersion operators. Then, introducing a mass operator with its canonical conjugate coordinate and applying rules of quantization, based on the use of dispersion - codispersion operators , we deduce a second order differential operator relation from the relativistic expression relying energy, momentum and mass. Using Dirac matrices, we derive from this second order differential operator relation a first order one. The application of the second order differential operator relation on a scalar function gives the equation for the scalar field and the use of the first order differential operator relation leads to the equation for fermion field.
Copyright © 2014 Raoelina Andriambololona et al. This is an open access article distributed under the Creative Commons Attribution 4.0 International (CC BY 4.0) license which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Raoelina Andriambololona, Ravo Tokiniaina Ranaivoson, Hanitriarivo Rakotoson, Victor Harison , " Derivation Of Equations For Scalar And Fermion Fields Using Properties Of Dispersion-codispersion Operators ", International Journal of Latest Research in Science and Technology . Vol. 3, Issue 1, pp 48-52 , 2014
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