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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...
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...
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...
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 predictions of low-energy phases of multiferroic BiFeO3
First-principles predictions multiferroic BiFeO3
2010/11/17
We used rst-principles methods to perform a systematic search for potentially-stable phases of multiferroic BiFeO3. We considered a simulation cell compatible with the atomic distortions that are mos...
A review of fundamentals and physical applications of fractional quantum mechanics has been presented.
Gersten has shown how Maxwell equations can be derived from first principles, similar to those which have been used to obtain the Dirac relativistic electron equation. We show how Proca equations can ...
Difference Discrete Variational Principles, Euler-Lagrange
Cohomology and Symplectic, Multisymplectic Structures III: Application to Symplectic and Multisymplectic Algorithms
discrete variation Euler-Lagrange cohomology symplectic algorithm multisymplectic algorithm
2007/8/15
2002Vol.37No.3pp.257-264DOI:
Difference Discrete Variational Principles, Euler-Lagrange
Cohomology and Symplectic, Multisymplectic Structures III: Application to Symplectic and Multisymplec...
Difference Discrete Variational Principles, Euler-Lagrange
Cohomology and Symplectic, Multisymplectic Structures I: Difference Discrete Variational Principle
discrete variation
Euler-Lagrange cohomology symplectic structure
2007/8/15
2002Vol.37No.1pp.1-10DOI:
Difference Discrete Variational Principles, Euler-Lagrange
Cohomology and Symplectic, Multisymplectic Structures I: Difference Discrete Variational Principle
...
First-Principles Studies for the Electronic Structures of Diluted
Magnetic Semiconductors (Ga, Fe)As
diluted magnetic semiconductor electronic band calculation
ferromagnetism
2007/8/15
2003Vol.40No.4pp.499-502DOI:
First-Principles Studies for the Electronic Structures of Diluted
Magnetic Semiconductors (Ga, Fe)As
WEI Shu-Yi, WANG Tian-Xing, YANG Zong-Xian, and ...
We present state of art first-principles study on the static and dynamic properties of BaTiO3, a typical ferroelectric material. Here, structure, equation of state, phase stability, and phase transfor...