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• W2019417347 abstract "Generalizations of the three main equations of quantum physics, namely, the Schrodinger, Klein-Gordon, and Dirac equations, are proposed. Nonlinear terms, characterized by exponents depending on an index $q$, are considered in such a way that the standard linear equations are recovered in the limit $qensuremath{rightarrow}1$. Interestingly, these equations present a common, solitonlike, traveling solution, which is written in terms of the $q$-exponential function that naturally emerges within nonextensive statistical mechanics. In all cases, the well-known Einstein energy-momentum relation is preserved for arbitrary values of $q$." @default.
• W2019417347 created "2016-06-24" @default.
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• W2019417347 date "2011-04-04" @default.
• W2019417347 modified "2023-09-27" @default.
• W2019417347 title "Nonlinear Relativistic and Quantum Equations with a Common Type of Solution" @default.
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• W2019417347 doi "https://doi.org/10.1103/physrevlett.106.140601" @default.
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