Journal: Electronic Journal of Theoretical Physics

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Aracne Editrice

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1729-5254

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  • Majorana returns: The Dirac-Boltzmann connection
    Item type: Journal Article
    Succi, Sauro; Palpacelli, Silvia; Mendoza, Miller; et al. (2014)
    Electronic Journal of Theoretical Physics
    Formal and substantial analogies between the Boltzmann equation of classical statistical physics and the Dirac equation for relativistic quantum mechanics are discussed, with special emphasis on the Majorana representation of the Dirac equation, in which all matrices are real. It is shown that this property is instrumental in turning the Boltzmann-Dirac analogy into an efficient computational method for quantum problems, the so-called quantum lattice Boltzmann (QLB) method. Selected applications of the QLB method to Anderson localization in Bose-Einstein condensates and electron transport in graphene are presented and commented on. Finally, future prospects of QLB applications for quantum computing and the simulation of quantum field theories, are briefly mentioned. © Electronic Journal of Theoretical Physics.
Publications 1 - 1 of 1