聖塔非研究所

摘要 Generalizations of the three main equations of 量子

2011 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 Generalizations of the three main equations of 量子 physics, namely, the Schrodinger, Klein Gordon, and Dirac equations, are proposed. 非線性 terms, characterized by exponents depending on an …

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論文資訊

  • 類型:已發表論文
  • 日期:2011

摘要

Generalizations of the three main equations of 量子 physics, namely, the Schrodinger, Klein-Gordon, and Dirac equations, are proposed. 非線性 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 q -> 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 統計 mechanics. In all cases, the well-known Einstein energy-momentum relation is preserved for arbitrary values of q.

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