On the Groenewold–Van Hove problem for R2n
From MaRDI portal
Publication:4701841
DOI10.1063/1.532854zbMath0977.53081arXivmath-ph/9809015OpenAlexW3100701428MaRDI QIDQ4701841
Publication date: 21 November 1999
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/9809015
Poisson manifolds; Poisson groupoids and algebroids (53D17) Geometry and quantization, symplectic methods (81S10) Poisson algebras (17B63) Geometric quantization (53D50)
Related Items (14)
Shouldn’t there be an antithesis to quantization? ⋮ Conformal fluid dynamics ⋮ Deformation quantization as an appropriate guide to ontic structure ⋮ Quantization via deformation of prequantization ⋮ Born-Jordan pseudodifferential operators and the Dirac correspondence: beyond the Groenewold-van Hove theorem ⋮ Problem of time in quantum gravity ⋮ From Weyl to Born-Jordan quantization: the Schrödinger representation revisited ⋮ Bouncing and cyclic quantum primordial universes and the ordering problem ⋮ Generalized Weyl transform for operator ordering: Polynomial functions in phase space ⋮ On a special picture of dynamical evolution of nonlinear quantum systems in the phase-space representation ⋮ Bypassing the Groenewold–van Hove obstruction on ${{\mathbb{R}}}^{2n}$: a new argument in favor of Born–Jordan quantization ⋮ Geometric Aspects of the Quantization of a Rigid Body ⋮ THEORY OF QUANTUM FIRST TIME OF ARRIVAL VIA SPATIAL CONFINEMENT I: CONFINED TIME OF ARRIVAL OPERATORS FOR CONTINUOUS POTENTIALS ⋮ Lie groupoids and Lie algebroids in physics and noncommutative geometry
Cites Work
- Functorial geometric quantization and Van Hove's theorem
- On quantizing \(T^*S^1\)
- Derivations of Lie brackets and canonical quantisation
- Separate and joint analyticity in Lie groups representations
- Obstruction results in quantization theory
- On Quantizing Nilpotent and Solvable Basic Algebras
- A Groenewold-Van Hove Theorem for $S^2$
- On the principles of elementary quantum mechanics
This page was built for publication: On the Groenewold–Van Hove problem for R2n