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.

引用

页数：3

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