文献类型：期刊文献

英文题名：ANALYSIS OF IMPOSSIBILITY OF TESTING SPATIAL NONCOMMUTATIVITY USING RYDBERG ATOMS IN THE VICINITY OF SADDLE-POINT IN CROSSED ELECTRIC AND MAGNETIC FIELDS

作者：Zhang, Jian-Zu[1];He, Li-Ming[1,2];Zhu, Yun-Xia[2]

机构：[1]E China Univ Sci & Technol, Inst Theoret Phys, Shanghai 200237, Peoples R China;[2]E China Univ Sci & Technol, Dept Phys, Shanghai 200237, Peoples R China

年份：2010

卷号：25

期号：18-19

起止页码：3715

外文期刊名：INTERNATIONAL JOURNAL OF MODERN PHYSICS A

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000280582000008)】；

基金：The work has been supported by the Natural Science Foundation of China under the grant number 10575037 and by the Shanghai Education Development Foundation. The authors thank J.-P. Connerade for helpful discussions and W. Cao for carefully reading the manuscript.

语种：英文

外文关键词：Quantum mechanics in noncommutative space; classical-quantum correspondence

摘要：In relation to the current controversy over the need for an experimental test of spatial noncommutativity at the normal quantum scale, the spectra of a Rydberg electron in the vicinity of the saddle-point in a suitable combination of crossed electric and magnetic fields are investigated in both cases of commutative space and noncommutative space. Its local behavior around the saddle-point is clarified. An unbounded mode is revealed. It describes the unbounded direction along which the electron will escape the vicinity of the saddle-point, which means that it is impossible to locate electronic states. This finding indicates that the possibility of testing spatial noncommutativity in the vicinity of the saddle-point is ruled out. Because this unbounded mode applies only to states near the saddle-point, not to those from the outerwell, it is suggested that if any test of spatial noncommutativity can be performed by using atoms in the crossed-field, then the test must be performed using states from the outer well, not those close to the saddle-point.