非对易空间中量子理论的非对易参数间的约束
A Constraint between Noncommutative Parameters of Quantum Theories in Noncommutative Space
摘要：
在二维非对易空间中，对位置-位置和动量-动量均非对易的情况，研究了非对易参数之间的约束。阐明了在一般情况下保证非对易空间中Bose-Einstein统计量的相关问题：Bose-Einstein统计量由变形Heisenberg-Weyl代数本身保证，与动力学无关.动力系统的一个特殊性质由非交换参数之间的约束来表示。任何系统的约束的一般特征是非交换参数之间的正比关系，其比例系数取决于所研究系统的特征参数。说明了谐振子的约束。
英文摘要：
In two-dimensional noncommutive space for the case of both position - position and momentum - momentum noncommuting, a constraint between noncommutative parameters is investigated. The related topic of guaranteeing Bose - Einstein statistics in noncommutive space in the general case are elucidated: Bose - Einstein statistics is guaranteed by the deformed Heisenberg - Weyl algebra itself, independent of dynamics. A special character of a dynamical system is represented by a constraint between noncommutative parameters. The general feature of the constraint for any system is a direct proportionality between noncommutative parameters with a proportional coefficient depending on characteristic parameters of the system under study. The constraint for a harmonic oscillator is illustrated.
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