Incompressible Canonical Quantization

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dc.creatorViazminsky, C. P.
dc.date2002-10-11
dc.date.accessioned2026-07-07T04:29:29Z
dc.date.available2026-07-07T04:29:29Z
dc.descriptionThe notion of incompressible momentum observables is introduced. It is shown that when the metric in a manifold has a certain form, a set of canonically conjugate variables Xk and Pk in which Pk are incompressible, can be constructed. Based on this set of variables, the quantum mechanical description of the motion of a particle in a manifold, is identical to that associated with the familiar canonically conjugate variables xk and pk in an Euclidean space with Cartesian coordinates. The controversy related to non-uniqueness of momentum operators when the range of a coordinate is a finite interval is reduced to two possible extensions. This suggests relating these two types of extensions to the type of particle as being fermion or boson.
dc.description12 Pages
dc.identifierhttps://arxiv.org/abs/math-ph/0210025
dc.identifierhttp://arxiv.org/abs/math-ph/0210025
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57177
dc.subjectMathematical Physics
dc.titleIncompressible Canonical Quantization
dc.typetext

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