Hilbert Book Model Project/Slide 4

Hilbert Book Model Project

4

Quaternionic number systems exist in several versions
that differ in the way that they are ordered

A Cartesian coordinate system
succeeded by a polar coordinate system
can sequence the symmetry of a version
of the quaternionic number system

The coordinate axes of all versions
are parallel to each other

The Hilbert spaces of the base model ᙜ
use one of the versions of the number system
to specify the values of the inner products
of pairs of Hilbert vectors