Showing papers on "Symplectic vector space published in 1972"
01 Jan 1972
33 citations
01 Feb 1972
TL;DR: In this article, an example of weak symplectic forms on a Hilbert space for which Darboux's theorem fails is given, and a weak form for which it is shown that the weak form fails.
Abstract: An example of a weak symplectic form on a Hilbert space for which Darboux's theorem fails is given.
27 citations
22 citations
TL;DR: In this article, a set of operators can be used for defining a basis in a finite dimensional irreducible representation space of the symplectic group Sp(2n) in which each basis vector is an eigenvector of all invariant operators of the canonical subgroups U(1)⊂ ⊂Sp(2 n−2), U(n−1), Sp( 2n−2, Sp(1), U
18 citations
5 citations
3 citations