Daubechies, Ingrid Coherent states and projective representation of the linear canonical transformations. (English) Zbl 0453.22012 J. Math. Phys. 21, 1377-1389 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 10 Documents MSC: 22E70 Applications of Lie groups to the sciences; explicit representations 81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations Keywords:coherent states; canonical transformations; metaplectic representation; symplectic group PDF BibTeX XML Cite \textit{I. Daubechies}, J. Math. Phys. 21, 1377--1389 (1980; Zbl 0453.22012) Full Text: DOI References: [1] Segal I. E., Math. Scand. 13 pp 31– (1963) · Zbl 0208.39002 · doi:10.7146/math.scand.a-10686 [2] DOI: 10.1007/BF01645755 · Zbl 0152.23204 · doi:10.1007/BF01645755 [3] DOI: 10.1063/1.1665805 · Zbl 0247.20051 · doi:10.1063/1.1665805 [4] DOI: 10.1063/1.1666470 · doi:10.1063/1.1666470 [5] DOI: 10.1007/BF01654283 · Zbl 0167.55902 · doi:10.1007/BF01654283 [6] DOI: 10.1063/1.522452 · doi:10.1063/1.522452 [7] DOI: 10.1063/1.522452 · doi:10.1063/1.522452 [8] DOI: 10.1007/BF00419622 · Zbl 0389.53018 · doi:10.1007/BF00419622 [9] DOI: 10.1063/1.524702 · doi:10.1063/1.524702 [10] DOI: 10.1007/BF01649588 · Zbl 0137.45601 · doi:10.1007/BF01649588 [11] Grossmann A., Helv. Phys. Acta 51 pp 252– (1978) [12] DOI: 10.1002/cpa.3160140303 · Zbl 0107.09102 · doi:10.1002/cpa.3160140303 [13] DOI: 10.1007/BF01617867 · Zbl 0337.46063 · doi:10.1007/BF01617867 [14] DOI: 10.1016/0001-8708(71)90043-0 · Zbl 0219.22016 · doi:10.1016/0001-8708(71)90043-0 [15] DOI: 10.1016/0003-4916(78)90225-7 · Zbl 0377.53025 · doi:10.1016/0003-4916(78)90225-7 [16] DOI: 10.1063/1.522433 · doi:10.1063/1.522433 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.