On degenerate multi-dimensional dispersion laws

被引：0

作者：

Tskhakaya, DD ^{[1
]}

Shulman, EI ^{[1
]}

机构：

[1] RUSSIAN ACAD SCI, LD LANDAU THEORET PHYS INST, CTR NONLINEAR INVEST, MOSCOW 117901, RUSSIA

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 1997年 / 112卷 / 01期

关键词：

D O I：

10.1007/BF02634105

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Degeneration of multi-dimensional dispersion laws analytic in the vicinity of zero is investigated under the assumption that the corresponding degeneracy function satisfies a definite condition (Eq. (3)). It is proved that only two-dimensional dispersion laws omega(p, q), whose asymptotic behavior at small p and q has some definite form (Eq. (28)), can be degenerate with respect to the decay process 1 --> 2. It is shown that the corresponding degeneracy function is unique and its asymptotic behavior is found.

引用

页码：892 / 898

页数：7

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