报告人:Bruno Rubino
报告地点:数学与统计学院615室
报告时间:2016年06月08日星期三16:30-17:30
邀请人:
报告摘要:
Recently, following the experimental observation that quantum effects are local-
ized in restricted zone of the device, some quantum-classical hybrid models have
been introduced. In the hybrid framework, just a well localized (and usually
small) part of the device is modeled as quantum, while the rest of the domain
is treated classically.
The main difficult is to establish a reasonable set of interface conditions. In the
talk we present and compare two different approaches. In the first one, following
the available literature, we introduce and discuss some sets physical-based
interface conditions. In the second one, we derive a new intrinsic hybrid model,
obtained modifying the Bohm potential. In this way, we do not need
any interface condition and the existence of the hybrid solution is obtained as
a limit of a suitably modified quantum model.
主讲人简介:
意大利拉奎拉大学教授、数学系主任。国际著名偏微分方程专家。