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In this talk we introduce some recent developments of Heisenberg-Pauli-Weyl uncertainty principle in the different settings.
I will discuss the Hardy-Littlewood integral inequality with sharp constant on the Heisenberg goup proved by Frank and Lieb. I will outline a simpler proof which bypasses the sophisticated argument fo...
Since the work by Caffarelli-Chan-Silvestre-Vasseur, integro-differential equations naturally arise from models in physics, engineering, and finance, attracting an increasing level of interest. They a...
Since the work by Caffarelli-Chan-Silvestre-Vasseur, integro-differential equations naturally arise from models in physics, engineering, and finance, attracting an increasing level of interest. They a...
Quantum Replication at the Heisenberg Limit     Quantum Replication  Heisenberg Limit       font style='font-size:12px;'> 2016/1/23
No process in nature can perfectly clone an arbitrary quantum state. But is it possible to engineer processes that replicate quantum information with vanishingly small error? Here we demonstrate the p...
CUP PRODUCTS, THE HEISENBERG GROUP, AND CODIMENSION TWO ALGEBRAIC CYCLES     CUP PRODUCTS  HEISENBERG GROUP       font style='font-size:12px;'> 2015/12/10
We de ne higher categorical invariants (gerbes) of codimension two algebraic cycles and provide a categorical interpretation of the intersection of divisors on a smooth proper algebraic variety. This...
Isometric actions of Heisenberg groups on compact Lorentz manifolds     Heisenberg groupsl  Lorentz manifolds       font style='font-size:12px;'> 2015/10/14
We prove results toward classifying compact Lorentz manifolds on which Heisenberg groups act isometrically. We give a general construction, leading to a new example, of codimension-one actions—those...
Density and Redundancy of the Noncoherent Weyl-Heisenberg Superframes.
(1) Werner Heisenberg and the German Uranium Project (2) Otto Hahn and the Declarations of Mainau and Gottingen.
Dreiernner Arbeit in der frühen Bundesrepublik. Max Born,Werner Heisenberg und Pascual Jordan als politische Grenzgänger.
There has been much speculation about what role the leading German physicist of the Nazi era, the prodigious Werner Heisenberg (1901–1976), played in the failure of Nazi Germany to pursue development ...
广义Heisenberg—Virasoro代数的量子化     李双代数   量子化  广义Heisenberg—Virasoro代数  Hopf代数       font style='font-size:12px;'> 2014/5/5
根据作者最近给出的广义Heisenberg—Virasoro代数李双代数结构的结果, 将在本文中考虑广义Heisenberg—Virasoro代数的量子化, 并给出详细的计算过程.
A note on Freiman models in Heisenberg groups     Freiman models  Heisenberg groups  Number Theory       font style='font-size:12px;'> 2012/7/11
Green and Ruzsa recently proved that for any $s\ge2$, any small squaring set $A$ in a (multiplicative) abelian group, i.e. $|A\cdot A|eiman $s$-model: it means that there exists a grou...
It is a folk conjecture that for alpha > 1/2 there is no alpha-Hoelder surface in the subRiemannian Heisenberg group. Namely, it is expected that there is no embedding from an open subset of R^2 into ...
We consider the mean-field classical Heisenberg model and obtain detailed information about the magnetization by studying the model on a complete graph and sending the number of vertices to infinity. ...

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