Remark on quantum mechanics with conformal Galilean symmetry

被引：31
|
作者：
Galajinsky, A. V. [1 ]
机构：
[1] Tomsk Polytech Univ, Phys Math Lab, Tomsk 634050, Russia
来源：
PHYSICAL REVIEW D | 2008年 / 78卷 / 08期
关键词：
D O I：
10.1103/PhysRevD.78.087701
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
Conformal Galilei algebra contains so(1,2) subalgebra which is the conformal algebra in one dimension. In this note, we generalize methods previously developed for one-dimensional many-body systems and construct a unitary map relating a quantum mechanics invariant under the conformal Galilean transformations to a set of decoupled particles for which the same symmetry is realized in a nonlocal way. Possible applications of the map are discussed.
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页数：3
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