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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The most general coordinates transformations that allow for the exactseparation of the kinetic energy operator of a quantum many-body system intototal center of mass kinetic energy and internal kinetic energy are found anddiscussed. We find i) that the suitable transformations, depending on thenumber of particles, have a certain number of free parameters and this allowsfor the generalization of the Jacobi coordinates to a much larger class ofcoordinates with the same properties and ii) that there is a new, uncommon,additive group structure hidden in the transformation matrices that isconnected to certain geometric properties of the set of coordinates.

All coordinates transformations that separate the center of mass kinetic energy, their group structure and geometry