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arXiv 0907.2584math-phmath.MPquant-ph
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含仿格拉斯曼变量的线性微分方程

On Linear Differential Equations Involving a Para-Grassmann Variable

Toufik Mansour, Matthias Schork

摘要:

作为第一步的理论微分方程涉及para-Grassmann变量的线性方程的常系数进行了讨论和解决方案的方程的低阶明确给出。建立了与n-广义Fibonacci数的联系。其他几类微分方程(系统的一阶,方程与变系数,非线性方程)也被认为是和类比或差异通常(“玻色子”)微分方程讨论。

英文摘要:

As a first step towards a theory of differential equations involving para-Grassmann variables the linear equations with constant coefficients are discussed and solutions for equations of low order are given explicitly. A connection to n-generalized Fibonacci numbers is established. Several other classes of differential equations (systems of first order, equations with variable coefficients, nonlinear equations) are also considered and the analogies or differences to the usual (''bosonic'') differential equations discussed.

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