<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">S. Giardino</style></author><author><style face="normal" font="default" size="100%">P. Teotônio-Sobrinho</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">``A non-associative quaternion scalar field theory''</style></title><secondary-title><style face="normal" font="default" size="100%">Mod. Phys. Lett.</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2013</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://doi.org/10.1142/S0217732313501630</style></url></web-urls></urls><number><style face="normal" font="default" size="100%">35</style></number><volume><style face="normal" font="default" size="100%">A28</style></volume><pages><style face="normal" font="default" size="100%">1350163</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;A nonassociative Groenewold–Moyal (GM) plane is constructed using quaternion-valued function algebras. The symmetrized multiparticle states, the scalar product, the annihilation/creation algebra and the formulation in terms of a Hopf algebra are also developed. Nonassociative quantum algebras in terms of position and momentum operators are given as the simplest examples of a framework whose applications may involve string theory and nonlinear quantum field theory.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">35</style></issue></record></records></xml>