Vector coherent state representation theory
- 1 November 1985
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 26 (11) , 2787-2791
- https://doi.org/10.1063/1.526702
Abstract
A vector coherent state theory is formulated as a natural extension of standard coherent state theory. It is shown that the Godement representations and the coherent state representations of the Sp(N,R) groups of Rowe and of Deenen and Quesne are special cases of this more general theory.Keywords
This publication has 13 references indexed in Scilit:
- Unitary representations, branching rules and matrix elements for the non-compact symplectic groupsJournal of Physics A: General Physics, 1985
- Coherent state theory of the noncompact symplectic groupJournal of Mathematical Physics, 1984
- Partially coherent states of the real symplectic groupJournal of Mathematical Physics, 1984
- Analytical expressions for the matrix elements of the non-compact symplectic algebraJournal of Physics A: General Physics, 1984
- The discrete series ofSp(n,ℝ)International Journal of Theoretical Physics, 1977
- On a Conjecture of LanglandsAnnals of Mathematics, 1971
- Exponentiation of operator Lie algebras on Banach spacesBulletin of the American Mathematical Society, 1965
- Representations of Semisimple Lie Groups, VAmerican Journal of Mathematics, 1956
- Irreducible Unitary Representations of the Lorentz GroupAnnals of Mathematics, 1947
- Symplectic GeometryAmerican Journal of Mathematics, 1943