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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...
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...
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...
(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 ...
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.
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. ...
This paper deal with the problem of Sobolev imbedding in the critical cases. We prove some Trudinger-type inequalities on the whole Heisenberg group, extending to this context the Euclidean results by...
Abstract: We study $\mathbb Z$-graded modules of nonzero level with arbitrary weight multiplicities over Heisenberg Lie algebras and the associated generalized loop modules over affine Kac-Moody Lie a...
Heisenberg超代数H的导子在基底上的表示矩阵为工具, 得到了关于复数域 C上的有限维Heisenberg超代数H的导子代数和全形的结论: H的导子代数Der H是单完备的李超代数, 而H的全形h(H)不是完备李超代数。
We determine the groups of automorphisms and their orbits for nilpotent Lie algebras of class 2 and small dimension, over arbitrary fields (including the characteristic 2 case).

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