Poisson-Lie Structures and Quantisation with Constraints

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dc.creatorDiţă, Petre
dc.date1998-09-28
dc.date.accessioned2026-07-07T06:27:54Z
dc.date.available2026-07-07T06:27:54Z
dc.descriptionWe develop here a simple quantisation formalism that make use of Lie algebra properties of the Poisson bracket. When the brackets $\{H,ϕ_i\}$ and $\{ϕ_i,ϕ_j\}$, where $H$ is the Hamiltonian and $ϕ_i$ are primary and secondary constraints, can be expressed as functions of $H$ and $ϕ_i$ themselves, the Poisson bracket defines a Poisson-Lie structure. When this algebra has a finite dimension a system of first order partial differential equations is established whose solutions are the observables of the theory. The method is illustrated with a few examples.
dc.description13 pages, Latex
dc.identifierhttps://arxiv.org/abs/quant-ph/9809083
dc.identifierhttp://arxiv.org/abs/quant-ph/9809083
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97548
dc.subjectQuantum Physics
dc.titlePoisson-Lie Structures and Quantisation with Constraints
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