Kumar, R, Chand, F: Energy spectra of the coulomb perturbed potential in N-dimensional Hilbert space. Chinese Phys Lett 29, 060306 (2012)R. Kumar and F. Chand, "Energy Spectra of the Coulomb Perturbed Potential in 𝑁-Dimensional Hilbert Space," Chinese Physics Letters, vol. 29, Article ...
A concrete estimate for the weak Poincaré inequality on loop space The aim of the paper is to study the pinned Wiener measure on the loop space over a simply connected compact Riemannian manifold together with a Hilbert sp... X Chen,XM Li,B Wu - 《Probability Theory & Related Fields》 ...
Hilbert space in which the process has a decomposition as an infinite series built from a sequence of uncorrelated bona fide one-dimensional Levy processes... A David,R Markus - 《Proceedings of the London Mathematical Society》 被引量: 61发表: 2010年 Unsupervised image segmentation using a tele...
This is one of the very useful applications of the Hilbert curve. By mapping n-dimensional space onto 1 dimension we enable the use of range lookups on that 1 dimension using a B-tree or binary search. A search region represented as a box in n-dimensions can be mapped to a series of ...
Hilbert spaceMetric spaceThe space X, called totally disconnected if every two distinct points x, y is a member of X have disjoint neighborhoods which are both open and closed is discussed. It is proved that if G is an LCA group with dim G greater than or = n+1, then G contains a ...
We prove that the non-squeezing theorem of Gromov holds for symplectomorphisms on an infinite-dimensional symplectic Hilbert space, under the assumption th... A Abbondandolo,P Majer - 《Calculus of Variations & Partial Differential Equations》 被引量: 21发表: 2014年 ...
In the recovery phase, the dealer generates a two-qudit Bell state in the $d$-dimensional Hilbert space, and the participants perform the unitary operations on the Bell state to reconstruct the secret. The participants can judge whether the recovered secret is the original one, and check ...
state the Hilbert–Schmidt theorem for symmetric matrices which, in addition, have all real eigenvalues, and consequently, eigenvectors of real coordinates. Theorem 2 The n × n symmetric, real matrix A has real eigenvalues λ 1 ≥ ···≥λ n (with multiplicities), and the corresponding eige...
are no longer a symmetry of the Einstein-Hilbert action. However, this symmetry is present in odd-dimensional spacetimes if one considers an action linear in the vielbein instead of the curvature. In particular, in nine dimensions the action reads 1 I G = ǫ a 1 ···a 9 R a 1 ...
满足条件0‘x,‘(合)一,,2,·…Hilbert立方体是一个紧统(印代甲aCtllnl),拓扑等价(同胚)于可数多个区间的T叮oHoB积,即毛盯OHo.立方体(T泪如加v CUbe)I从。.这是具有可数基的度量空间类中的万有空间(u苗记岛沮sp即笼)(yP“coH摩粤化定理(Ul笋ohnn毖tri皿山nd笙幻reln)). B .A.nac卜川劝B撰...