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非对易相空间中的二维带电谐振子能级
引用本文:张文敏,李康.非对易相空间中的二维带电谐振子能级[J].杭州师范学院学报(自然科学版),2008,7(6):441-444.
作者姓名:张文敏  李康
作者单位:杭州师范大学理学院,浙江杭州310036
基金项目:国家自然科学基金项目,浙江省自然科学基金项目
摘    要:在弦的尺度下出现的非对易空间效应,引起了量子力学中物理量的一系列变化,这在物理学中具有重要意义.该文的重点是用对易空间谐振子的产生-湮灭算符表示出非对易相空间中的二维带电谐振子的哈密顿量,进而讨论其能级.

关 键 词:非对易相空间  产生-湮灭算符  带电谐振子  能级

Energy Lever of Charged Harmonic Oscillator in Two-Dimensional Non-commutative Phase Space
ZHANG Wen-min,LI Kang.Energy Lever of Charged Harmonic Oscillator in Two-Dimensional Non-commutative Phase Space[J].Journal of Hangzhou Teachers College(Natural Science),2008,7(6):441-444.
Authors:ZHANG Wen-min  LI Kang
Institution:(College of Sciences, Hangzhou Normal University, Hangzhou 310036, China)
Abstract:The effect of non-commutativity of phase space may appear in the string scale, which brings great changes in- to physical quantities and will play great importance in physics. In the paper, the Hamiltonian operator of the two dimensional charged harmonic oscillator in non-commutative phase space is represented in terms of creation and annihilation operations of commutative space. And then, the energy lever for charged harmonic oscillator in external field is given in detail.
Keywords:Non-commutative phase spaces creation-annihilation operators  charged harmonic oscillators energy lever  
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