5,828 research outputs found
Spin transverse force and quantum transverse transport
We present a brief review on spin transverse force, which exerts on the spin
as the electron is moving in an electric field. This force, analogue to the
Lorentz force on electron charge, is perpendicular to the electric field and
spin current carried by the electron. The force stems from the spin-orbit
coupling of electrons as a relativistic quantum effect, and could be used to
understand the Zitterbewegung of electron wave packet and the quantum
transverse transport of electron in a heuristic way.Comment: 4 pages, manuscript of invited talk on IAS Workshop on Spintronics at
Nanyang Techological University, Singapore, 200
Image Restoration: A General Wavelet Frame Based Model and Its Asymptotic Analysis
Image restoration is one of the most important areas in imaging science.
Mathematical tools have been widely used in image restoration, where wavelet
frame based approach is one of the successful examples. In this paper, we
introduce a generic wavelet frame based image restoration model, called the
"general model", which includes most of the existing wavelet frame based models
as special cases. Moreover, the general model also includes examples that are
new to the literature. Motivated by our earlier studies [1-3], We provide an
asymptotic analysis of the general model as image resolution goes to infinity,
which establishes a connection between the general model in discrete setting
and a new variatonal model in continuum setting. The variational model also
includes some of the existing variational models as special cases, such as the
total generalized variational model proposed by [4]. In the end, we introduce
an algorithm solving the general model and present one numerical simulation as
an example
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