On Some Unitary Representations of the Galilei Group I. Irreducible Representations

DOI10.1063/1.1704689zbMath0128.45502OpenAlexW2055874557MaRDI QIDQ5337112

Jacques Voisin

Publication date: 1965

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1704689

zbMATH Keywords

quantum theory

Related Items (15)

Extended harmonic analysis of phase space representations for the Galilei group ⋮ Dirac Formalism and Symmetry Problems in Quantum Mechanics. II. Symmetry Problems ⋮ Spectrum of Casimir Invariants for the Simple Classical Lie Groups ⋮ Limitable Dynamical Groups in Quantum Mechanics. II. A Model Including Arbitrary Spin ⋮ New Dynamical Group for the Relativistic Quantum Mechanics of Elementary Particles ⋮ Nontransititive imprimitivity systems for the Galilei group ⋮ Representations of the (2+1)-dimensional Galilean group ⋮ Faithful representations of the Galilean Lie algebra in two spatial dimensions ⋮ Representations and invariant equations of E(3) ⋮ Pedestrian approach to two-cocycles for unitary ray representations of Lie groups ⋮ The maximal solvable subgroups of the SU(p,q) groups and all subgroups of SU(2,1) ⋮ Transposed Poisson structures on solvable and perfect Lie algebras ⋮ From a ’’laboratory’’ Galilei−Hilbert bundle to an algebra of observables ⋮ Galilean wavelets: Coherent states of the affine Galilei group ⋮ Mackey’s theory and the true representations of the Galilei group

Cites Work

• On the general theory of collisions for particles with spin
• Galilei group and Liouville equation
• On unitary ray representations of continuous groups
• Contraction of Lie Groups
• Representations of the Galilei group

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