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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Some improved Caffarelli-Kohn-Nirenberg inequalities and uncertainty principles
Caffarelli Kohn-Nierberg不等式 不确定性原理
2023/11/13
In this talk we introduce some improved Caffarelli-Kohn-Nirenberg inequalities and uncertainty principle for complex- and vector-valued functions on ?n, which is a further study of the results given i...
Researchers confirm decades-old theory describing principles of phase transitions
Researchers decades-old theory describing principles phase transitions
2016/11/29
New research conducted at the University of Chicago has confirmed a decades-old theory describing the dynamics of continuous phase transitions.The findings, published in the Nov. 4 issue of Science, p...
First-principles study on the magnetic properties in Mg dooped BiFeO3 with and without oxygen vacancies
Vacancies Magnesium Magnetic moments Antiferromagnetism Band gap
2016/12/2
The magnetic properties of Mg-doped BiFeO3 (BFO) with and without oxygen vacancies are studied through first-principles calculations. The Mg-doping prefers to occupy the ferromagnetic planes and produ...
Principles for a Unified Picture of Fermions
Principles Unified Picture of Fermions General Physics
2012/5/31
The principles and conceptual foundations required for a unified picture of fermions are clarified, which in turn suggest that the standard theory may be reducible in a far simpler form. The resultant...
On the Structure of Minimizers of Causal Variational Principles in the Non-Compact and Equivariant Settings
Causal Variational Principles Non-Compact and Equivariant Settings Mathematical Physics
2012/5/25
We derive the Euler-Lagrange equations for minimizers of causal variational principles in the non-compact setting with constraints, possibly prescribing symmetries. Considering first variations, we sh...
First-principles method for high-$Q$ photonic crystal cavity mode calculations
First-principles method high-$Q$ photonic crystal cavity mode calculations Optics
2012/4/24
We present a first-principles theory to compute radiation properties of ultra-high quality factor photonic crystal (PC) cavities using a basis of bound PC waveguide states. This method is used to comp...
First-principles Analysis of Photo-current in Graphene PN Junctions
First-principles Analysis Photo-current Graphene PN Junctions
2012/2/29
We report a first principles investigation of photocurrent generation by graphene PN junctions. The junctions are formed by either chemically doping with nitrogen and boron atoms, or by controlling ga...
Nondifferentiable variational principles in terms of a quantum operator
Holder functions quantum calculus calculus of variations Green’s theorem
2011/7/28
Abstract: We develop Cresson's nondifferentiable calculus of variations on the space of H\"{o}lder functions. Several quantum variational problems are considered: with and without constraints, with on...
Nondifferentiable variational principles in terms of a quantum operator
Holder functions quantum calculus calculus of variations Green’s theorem
2011/7/28
Abstract: We develop Cresson's nondifferentiable calculus of variations on the space of H\"{o}lder functions. Several quantum variational problems are considered: with and without constraints, with on...
Predicting Zonal Flows -- A Comprehensive Reynolds-Stress Response-Functional from First-Principles-Plasma-Turbulence Computations
Reynolds-Stress First-Principles-Plasma-Turbulence
2011/8/31
Turbulence driven zonal flows play an important role in fusion devices since they improve plasma confinement by limiting the level of anomalous transport. Current theories mostly focus on flow excitat...
Cosmic rays and tests of fundamental principles
Cosmic rays tests of fundamental principles
2010/12/27
It is now widely acknowledged that cosmic rays experiments can test possible new physics directly generated at the Planck scale or at some other fundamental scale. By studying particle properties at e...
First principles investigation of Bi$_6$Ti$_4$O$_{17}$: oxide ferroelectricity with a low band gap
First principles investigation low band gap
2010/11/25
We report first principles studies of the hypothetical compound Bi6Ti4O17, which is an alternate stacking of the ferroelectric Bi4Ti3O12. We find that this compound is ferroelectric, similar to Bi4Ti3...
First-principles GW calculations for fullerenes, porphyrins, phtalocyanine, and other molecules of interest for organic photovoltaic applications
First-principles GW calculations for fullerenes fullerenes porphyrins phtalocyanine
2010/11/23
We evaluate the performances of ab initio GW calculations for the ionization energies and HOMOLUMOgaps of thirteen gas phase molecules of interest for organic electronic and photovoltaic applications,...
New structural model for GeO2/Ge interface: A first-principles study
New structural model for GeO2/Ge interface first-principles study
2010/11/24
First-principles modeling of a GeO2/Ge(001) interface reveals that sixfold GeO2, which is derived from cristobalite and is different from rutile, dramatically reduces the lattice mismatch at the inter...
Anisotropic spin Hall effect from first principles
Anisotropic spin Hall effect first principles
2010/11/22
We report on first principles calculations of the anisotropy of the intrinsic spin Hall conductivity (SHC) in nonmagnetic hcp metals and in antiferromagnetic Cr. For most of the metals of this study w...