变自旋系统的半经典离散化和长时间演化
Semi-Classical Discretization and Long-Time Evolution of Variable Spin Systems
摘要：
我们应用广义$SO(3)$映射的半经典极限表示四维辛流形中的变自旋系统，并在$T^{\ast }\mathcal{S}_{2}$上近似它们的有效经典动力学演化项.利用星积的渐近形式，我们设法“隐藏”一个经典的动力学变量，并引入了截断维格纳近似（TWA）的离散化版本。量子动力学的两个象征性的例子（转子在外场和两个耦合自旋）进行了分析，并比较了精确的，连续的和离散化版本的TWA的结果。
英文摘要：
We apply the semi-classical limit of the generalized $SO(3)$ map for representation of variable-spin systems in a four-dimensional symplectic manifold and approximate their evolution terms of effective classical dynamics on $T^{\ast }\mathcal{S}_{2}$. Using the asymptotic form of the star-product, we manage to "quantize" one of the classical dynamic variables and introduce a discretized version of the Truncated Wigner Approximation (TWA). Two emblematic examples of quantum dynamics (rotor in an external field and two coupled spins) are analyzed, and the results of exact, continuous, and discretized versions of TWA are compared.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
