Spectral properties of the linearized Balescu‐Lenard operator

IF 0.5 4区数学 Q3 MATHEMATICS

Journal of Mathematical Physics Analysis Geometry Pub Date : 1973-01-01 DOI:10.1063/1.1666162

A. H. Merchant, R. Liboff

引用次数: 7

Abstract

The spectrum of the linearized Balescu‐Lenard operator is studied in detail. It is found to be continuous, to range from zero to minus infinity, and to have no point spectrum. Analytic expressions are obtained for the l = 1 spherical harmonic eigenfunctions in the velocity domain ≳2.5, where x is microscopic speed, nondimensionalized through the thermal speed. Sketches showing the typical behavior for all x of this; l‐mode eigenfunction are also given.

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线性化Balescu - Lenard算子的谱性质

详细研究了线性化Balescu - Lenard算子的谱。我们发现它是连续的，范围从0到负无穷，并且没有点谱。得到了l = 1球谐本征函数在速度域≤2.5的解析表达式，其中x为微观速度，通过热速度进行无量纲化。显示所有x的典型行为的草图;给出了L模本征函数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Mathematical Physics Analysis Geometry PHYSICS, MATHEMATICAL-

CiteScore

0.70

自引率

20.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Mathematical Physics, Analysis, Geometry (JMPAG) publishes original papers and reviews on the main subjects: mathematical problems of modern physics; complex analysis and its applications; asymptotic problems of differential equations; spectral theory including inverse problems and their applications; geometry in large and differential geometry; functional analysis, theory of representations, and operator algebras including ergodic theory. The Journal aims at a broad readership of actively involved in scientific research and/or teaching at all levels scientists.