Abstract

We establish a relation between the class of symmetric spherical tensors and even/odd polynomials. The expansions of the scattering operator of photons or neutrons in a series of symmetric spherical tensors are obtained. Among them are expansions that have a higher rate of uniform convergence in comparison with expansions in spherical functions and Legendre polynomials. It is shown that, in problems of radiation transport in a substance with predominant forward or backward scattering, it is advisable to use expansions in the system of Chebyshev polynomials and tensors.

中文翻译：

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角粒子分布的张量展开

摘要

我们建立了对称球面张量的类与偶/奇多项式之间的关系。获得了一系列对称球面张量中光子或中子散射算子的展开。与球形函数和Legendre多项式的展开相比，其中的展开具有更高的均匀收敛速度。结果表明，在具有主要向前或向后散射的物质中的辐射传输问题中，建议在Chebyshev多项式和张量系统中使用展开式。