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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
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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
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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
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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
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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
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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
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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
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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...
Principles of Fractional Quantum Mechanics
Principles Fractional Quantum Mechanics
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2010/10/27
A review of fundamentals and physical applications of fractional quantum mechanics has been presented.
Proca equations derived from first principles
Proca equations first principles
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2010/4/9
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
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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
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2007/8/15
2002Vol.37No.1pp.1-10DOI:
Difference Discrete Variational Principles, Euler-Lagrange
Cohomology and Symplectic, Multisymplectic Structures I: Difference Discrete Variational Principle
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First-Principles Studies for the Electronic Structures of Diluted
Magnetic Semiconductors (Ga, Fe)As
diluted magnetic semiconductor electronic band calculation
ferromagnetism
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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 ...
First Principles Approach to BaTiO3
BaTiO3 art first-principles
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2010/4/9
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...