Cubic algebra and averaged Hamiltonian for the resonance 3: (-1) Penning-ioffe trap

被引：3
|
作者：
Blagodyreva, O. [1 ]
Karasev, M. [1 ]
Novikova, E. [1 ]
机构：
[1] HSE, Moscow Inst Elect & Math, Moscow, Russia
来源：
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS | 2012年 / 19卷 / 04期
关键词：
CHARGED-PARTICLE;
D O I：
10.1134/S1061920812040048
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
For the 3: (-1) resonance Penning trap, we describe the algebra of symmetries which turns out to be a non-Lie algebra with cubic commutation relations. The irreducible representations and coherent states of this algebra are constructed explicitly. The perturbing inhomogeneous magnetic field of Ioffe type, after double quantum averaging, generates an effective Hamiltonian of the trap. In the irreducible representation, this Hamiltonian becomes a second-order ordinary differential operator of the Heun type.
引用
收藏
页码：440 / 448
页数：9
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