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原文連結
論文資訊
- 類型：已發表論文
- 日期：2017-01-21
摘要
Recent developments on the generalizations of two important equations of 量子 physics, namely the Schroedinger and Klein-Gordon equations, are reviewed. These generalizations present 非線性 terms, characterized by exponents depending on an index q, in such a way that the standard linear equations are recovered in the limit q -> 1. Interestingly, these equations present a common, soliton-like, traveling solution, which is written in terms of the q-exponential function that naturally emerges within nonextensive 統計 mechanics. In both cases, the corresponding well-known Einstein energy-momentum relations, as well as the Planck and the de Broglie ones, are preserved for arbitrary values of q. In order to deal appropriately with the continuity equation, a classical field theory has been developed, wh
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