حمل و نقل کوانتومی: مدلسازی، تحلیل و تقریب - سخنرانی داده شده در C.I.M.E. مدرسه تابستانی در Cetraro برگزار شد، ایتالیا 11-16 سپتامبر ، 2006 Quantum Transport: Modelling, Analysis and Asymptotics — Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy September 11–16, 2006
- نوع فایل : کتاب
- زبان : انگلیسی
- نویسنده : Grégoire Allaire , Anton Arnold , Pierre Degond , Thomas Yizhao Hou (auth.) , Naoufel Ben Abdallah , Giovanni Frosali (eds.)
- ناشر : Springer-Verlag Berlin Heidelberg
- چاپ و سال / کشور: 2008
- شابک / ISBN : 9783540795735, 3540795731, 9783540795742
Description
The CIME Summer School held in Cetraro, Italy, in 2006 addressed researchers interested in the mathematical study of quantum transport models. In this volume, a result of the above mentioned Summer School, four leading specialists present different aspects of quantum transport modelling. Allaire introduces the periodic homogenization theory, with a particular emphasis on applications to the Schrödinger equation. Arnold focuses on several quantum evolution equations that are used for quantum semiconductor device simulations. Degond presents quantum hydrodynamic and diffusion models starting from the entropy minimization principle. Hou provides the state-of-the-art survey of the multiscale analysis, modelling and simulation of transport phenomena. The volume contains accurate expositions of the main aspects of quantum transport modelling and provides an excellent basis for researchers in this field.