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Dirac方程最初是Dirac为解决Minkowski时空中Klein—Gordon方程的粒子的负几率与负能问题建立的。1980年,Weinberg和Witten证明了引力无法量子化,所以为了将引力引入量子场论中,数学和物理学家将平直时空的Dirac方程推广到弯曲时空的Dirac方程,弯曲时空Dirac方程表示了任一自由费米子物质场在时空背景所应满足的场方程,是宇宙学研究的核心问题。2000年Fi...
Random phase approximation (RPA) was proposed by Bohm and Pines in four seminal papers during 1951-1953 to describe the correlation of fermions, namely the correction to the Hartree-Fock theory. While...
We will talk about the (quantum) modularity of WRT invariants or GPPV invariants in general of Seifert fibered homology spheres. It turns out that they are related to the Stokes phenomena of the Ohtsu...
The nonlinear Schrodinger (NLS) equation is a fundamental equation in the theory of integrable system and in many physical areas. In this talk, we will address several topics related to NLS equation, ...
The nonlinear Schrodinger (NLS) equation is a fundamental equation in the theory of integrable system and in many physical areas. In this talk, we will address several topics related to NLS equation, ...
In this talk we introduce some recent developments of Heisenberg-Pauli-Weyl uncertainty principle in the different settings.
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...
In the statistical study of Hamiltonian PDEs out of the equilibrium (lack of invariant measures), it is a natural question to understand the transport properties for canonical Gaussian measures. The f...
In this work, the cooperation between coherent control and noises in open spin systems is studied, aiming to demonstrate that such cooperation can provide new possibilities for parametrization in quan...
In this work, synthesis of robust memory modes for linear quantum passive systems in the presence of unknown inputs has been studied, aimed at facilitating secure storage and communication of quantum ...
In this talk, we consider normalized solutions of nonlinear Schrodinger equations in the plane when the nonlinearity satisfies an exponential critical growth. To study the normalized solutions by usin...
This talk will introduce some topics related to the study of nonlinear Schr?dinger equation on metric graphs, and then show the existence result of concentrated solutions to NLS equations on compact g...
基于量子隧穿效应的量子退火技术是利用量子隧穿现象来优化问题解的一种方法。在量子退火中,通过调控量子系统的能量和耦合强度,利用量子隧穿效应来探索解空间,并寻找最优解。这种技术可以在优化问题中快速搜索全局最小值,相较于传统算法具有潜在的加速优势。本报告重点介绍一下基于超导电路实现超导量子退火技术,Ising模型、二次无约束二值优化QUBO 模型是指(Quadratic Unconstrained Bi...
The uncertainty is a historic topic in quantum mechanics. In this talk, we view the uncertainty as the intrinsic property of quantum states and study it from the perspective of resource.
The classical Minkowski problem, which asks for the characterization of surface area measure in Euclidean space with Lebesgue measure, largely motivated the development of elliptic PDEs throughout the...

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