代数模型：坐标、尺度与动力学对称
Algebraic Models: Coordinates, Scales, and Dynamical Symmetries
摘要：
我们讨论了各种坐标经常用来表征相干态的经典极限的代数模型。我们显示选择适当的坐标自然激励的程序，以产生一个单粒子薛定谔哈密顿量，对于低能量状态，给出了等价的结果，一个玻色子代数模型，以领先的顺序在$N$。这个过程被用来研究U（3）的动力学对称性的相关几何。通过要求薛定谔图像中的内积保持不变，我们得出结论，不同的动力学对称性对应于不同的尺度。
英文摘要：
We discuss the variety of coordinates often used to characterize the coherent state classical limit of an algebraic model. We show selection of appropriate coordinates naturally motivates a procedure to generate a single particle Schrödinger hamiltonian which, for low energy states, gives equivalent results to a bosonic algebraic model to leading order in $N$. The process is used to study the associated geometries of the dynamical symmetries of U(3). By demanding that the inner product be preserved in the Schrödinger picture we conclude that different dynamical symmetries correspond to different scales.
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