THE TWO-DIMENSIONAL HARMONIC OSCILLATOR ON A NONCOMMUTATIVE SPACE WITH MINIMAL UNCERTAINTIES

被引：0
|
作者：
Dey, Sanjib [1 ]
Fring, Andreas [1 ]
机构：
[1] City Univ London, Dept Math Sci, Northampton Sq, London EC1V 0HB, England
来源：
ACTA POLYTECHNICA | 2013年 / 53卷 / 03期
关键词：
noncommutative space; non-Hermitian operators; 2D-systems;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The two dimensional set of canonical relations giving rise to minimal uncertainties previously constructed from a q-deformed oscillator algebra is further investigated. We provide a representation for this algebra in terms of a flat noncommutative space and employ it to study the eigenvalue spectrum for the harmonic oscillator on this space. The perturbative expression for the eigenenergy indicates that the model might possess an exceptional point at which the spectrum becomes complex and its PT-symmetry is spontaneously broken.
引用
收藏
页码：268 / 270
页数：3
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