Bose algebras: the complex and real wave representations

zbMath0780.47049MaRDI QIDQ1189456

Torben T. Nielsen

Publication date: 18 September 1992

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

zbMATH Keywords

coherent statesGaussian measuresexponentialssqueezed statesalgebra of creation and annihilation operatorsalgebraic computational machineriesBose Fock spacesSchrödinger real wave representationSegal-Bargmann complex wave representation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50) Coherent states (81R30) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Measures and integration on abstract linear spaces (46G12)

Related Items (4)

A Bose-Fock space quantization of the Witt algebra ⋮ Exponentiability of quadratic Hamiltonians. ⋮ On the spectral analysis of quantum field Hamiltonians ⋮ On the exponentiation of the affine metaplectic Lie algebra

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