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Symplectic vector space

About: Symplectic vector space is a research topic. Over the lifetime, 2048 publications have been published within this topic receiving 53456 citations.


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Journal ArticleDOI
TL;DR: In this paper, the nature of the general two-particle interaction which is compatible with symplectic symmetry in the jj coupling shell model is investigated and the essential result is that, to within an additive constant and an additive multiple of T2, the interaction should have the form of a sum of scalar products of singleparticle tensors which have odd rank in the single particle j space.

23 citations

Journal ArticleDOI
TL;DR: In this article, a link between hard symplectic topology and an unsharpness principle for generalized quantum observables (positive operator valued measures) is discussed, provided by the Berezin-Toeplitz quantization.
Abstract: We discuss a link between "hard" symplectic topology and an unsharpness principle for generalized quantum observables (positive operator valued measures). The link is provided by the Berezin-Toeplitz quantization.

23 citations

Journal ArticleDOI
TL;DR: An important lemma and an induction argument are used to prove the unique solvability, convergence and stability of numerical solutions of a coupled nonlinear Schrodinger system and its convergence is proved.

23 citations

Journal ArticleDOI
TL;DR: In this article, the authors derived new relations between the number of focal points of Y i and P i Y i, where P i is an arbitrary symplectic transformation and formulated conditions which guarantee that a given transformation preserves oscillatory properties of transformed systems.
Abstract: This paper studies symplectic transformations for conjoined bases of the symplectic difference systems where the matrix W i is symplectic for We derive new relations between the number of focal points of Y i and P i Y i , where P i is an arbitrary symplectic transformation. We formulate conditions which guarantee that a given transformation preserves oscillatory properties of transformed systems. In particular, for the case and , we establish duality between eventual disconjugacy of general symplectic systems and their reciprocals.

23 citations

Journal ArticleDOI
TL;DR: In this article, the authors prove a Brunn-Minkowski-type inequality in the context of symplectic geometry and discuss some of its applications in the field of algebraic geometry.
Abstract: In this work, we prove a Brunn-Minkowski-type inequality in the context of symplectic geometry and discuss some of its applications.

23 citations

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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202310
202221
202113
20208
201910
201818