Semiclassical Dynamics in Mesoscopic Physics

9421153 Tomsovic该项目旨在扩展新的，更强大的半经典方法：i）介观和原子问题-重点是量子相干性和波函数局域化问题，ii）简化与混沌运动有关的困难，iii）调查领先的修正和更高的自由度，iv）使方法适应稳态量子力学。最后，从以前的调查中获得的专业知识将被带入课堂，如真实的时间波动方程解的动画。这项建议的总体主题是高度跨学科的，在许多领域都有影响。在声学、原子、介观、分子和光学系统中都可以发现类似的现象。它还涉及对应原理，并最终涉及量子力学的解释。经验表明，学生对介观物理，非线性动力学和波动渐近的结合有浓厚的兴趣。转换学生有广泛的基础，并在一些学科的研究生涯装备精良。***

9421153 Tomsovic This project is aimed at extending new, more powerful semiclassical methods: i) to mesoscopic and atomic problems - the emphasis is on quantum coherence and wave-function localization problems, ii) to simplifying the difficulties arising in connection with chaotic motion, iii) to investigating the leading corrections and higher degrees of freedom, and iv) to adapting the methods to stationary quantum mechanics. Finally, expertise garnered from previous investigations will be brought into the classroom, such as the animation of real time wave equation solutions. The overall subject matter of this proposal is highly interdisciplinary and has consequences in many domains. Analogous phenomena can be found in acoustic, atomic, mesoscopic, molecular and optical systems. It has the further interest of involving the Correspondence Principle and ultimately the interpretation of quantum mechanics. Experience reveals a strong student interest in the combination of mesoscopic physics, nonlinear dynamics and wave asymptotics. Conversant students have a broad base and are well equipped for research careers in a number of disciplines. ***