欧几里德群的相干态与初级视皮层的激活区
Coherent states of the Euclidean group and activation regions of primary visual cortex
摘要：
SE（2）的不确定性原理允许构造与第二海森堡群H2的巴格曼变换严格相关的相干态变换。相应的目标空间被构造性地表征，并与SE（2）的殆复结构作为接触流形相关。这种相干状态变换提供了初级视觉皮层中的神经活动图的模型，然后根据最小不确定性状态来描述。模型的结果与实验测量进行了比较。
英文摘要：
The uncertainty principle of SE(2) allows to construct a coherent states transform that is strictly related to the Bargmann transform for the second Heisenberg group H2. The corresponding target space is characterized constructively and related to the almost complex structure of SE(2) as a contact manifold. Such a coherent state transform provides a model for neural activity maps in the primary visual cortex, that are then described in terms of minimal uncertainty states. The results of the model are compared with the experimental measurements.
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。
