原子与分子物理学报2007，Vol.24Issue(4)：750-756,7.
磁通量对二维谐振子的量子能级密度的影响
Effect of a magnetic flux line on the quantum level density of a harmonic oscillator
摘要
Abstract
Using the periodic orbit theory, we computed the quantum level density of a particle in the two-dimensional harmonic oscillator potential with and without the magnetic flux line for different cases. Especially discuss the influence of the magnetic flux line on the quantum level density. The results show when the frequency ratio of the two-dimensional harmonic potential is a rational number, the quantum level density is discrete. Each peak in the level density corresponds to one energy. However, when the frequency ratio is an irrational number, the level density is oscillating, when the magnetic flux is added, the amplitude of the oscillation decreased. This can be considered as a consequence of Aharonov-Bohm effect.关键词
周期轨道理论/量子能级密度/Aharonov-Bohm效应Key words
periodic orbit theory/quantum level density/aharonov-Bohm effect分类
数理科学引用本文复制引用
王德华,李红艳,马晓光,王美山,杨传路..磁通量对二维谐振子的量子能级密度的影响[J].原子与分子物理学报,2007,24(4):750-756,7.基金项目
国家自然科学基金(10604045) （10604045）
鲁东大学博士科研启动基金(202-23000301) （202-23000301）
