摘要
在深入研究有限维空间谐振子量子态的解析表示的基础上,利用有限维空间相干态的方法获得了任意量子态的圈表示.把任意量子态表示为复平面上沿一个半径为R的圆的路径积分,找到了量子态的解析表示和圈表示之间的关系.
In this paper,a circle representation of an arbitrary quantum state of a harmonic oscillator in a finite dimensional Hilbert space is present in terms of a coherent state in the finite dimensional space.a quantum state is expressed as a path integral on a circle.A relation between the circle representation and the analytic representation of a quantum state is given.It is shown that the circle representation of a quantum state can be directly obtained from its analytic representation through a integral on the complex.
出处
《湖南师范大学自然科学学报》
CAS
1997年第1期22-25,共4页
Journal of Natural Science of Hunan Normal University
基金
国家自然科学基金