7003全讯入口“博约学术论坛”系列讲座（第174期）
来源： 作者： 发布时间：2018-11-20邀请人：
报告人：
时间： 2018-11-20
地点：
主讲人简介：
| 题目：Symmetries and Currents in Covariant Quantum Mechanics |
| 报告人：Prof. Marco Modugno （University of Florence, Italy） 时 间：2018年11月23日(周五)上午 10:00 地 点：7003全讯入口中心教学楼501 |
| 摘要： We start with a review of the basic setting of Covariant Quantum Mechanics in a curved spacetime equipped with absolute time and a riemannian spacelike metric. Then, we discuss the Lie algebras of in nitesimal symmetries of the main co-variant geometric objects of covariant quantum mechanics: the time form, the her-mitian metric, the upper quantum connection, the quantum lagrangian. Indeed,these in nitesimal symmetries are generated, in a covariant way, by the Lie algebra of time preserving conserved special phase functions. Actually, this Lie algebra of special phase functions generates also the Lie algebra of in nitesimal symmetries of the main classical objects: the time form and the cosymplectic 2-form. A natural output of the classi cation of the quantum symmetries is a covariant approach to quantum operators. Further, we discuss the classical and quantum currents associated with special phase functions. Actually, the well known probability current turns out to be a very particular case of the above approach to quantum currents. |
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