English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Starting with the first-order singular Lagrangian describing the dynamicalsystem with 2nd-class constraints, the noncommutative quantum mechanics on acurved space is investigated by the constraint star-product quantizationformalism of the projection operator method. Imposing the additionalconstraints to eliminate the reduntant degrees of freedom, it is shown that theresultant noncommutative quantum system on the curved space is represented withtwo kinds of the constrained quantum systems, which are equivalent with eachother. Then, it is shown that the resultant Hamiltonians contain the quantumcorrections caused by the uncertainty relations among the constraint-operatorsin addition to those due to the projections of operators, which are missed inthe usual approaches with the Dirac-bracket quantization formalism.

Uncertainty Relations and Quantum Corrections in Noncommutative Quantum Mechanics on a Curved Space